- published: 07 Jun 2010
- views: 58471
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Mach numbers
More free lessons at: http://www.khanacademy.org/video?v=VlaGxYjnoPY
In fluid mechanics, Mach number /ˈmɑːx/ is a dimensionless quantity representing the ratio of speed of an object moving through a fluid and the local speed of sound.
This video targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Public domain image source in video
- published: 08 May 2014
- views: 1656
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
- published: 20 Jul 2012
- views: 17191
Find out how wing sweep increases your critical mach number in this crash course episode.
- published: 30 Jun 2015
- views: 19662
Speed of Sound Equation: 0:05
Modified for Ideal Gas: 1:01
Define Mach Number: 2:05
Speed of Sound Derivation: 2:39
Ideal Gas Derivation: 6:21
Discuss Mach Number: 8:28
Derive equation for sonic speed and discuss mach number: c, for ideal gas c=sqrt(k R T), Mach = V/c
- published: 25 Feb 2014
- views: 1198
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
- published: 20 Jul 2012
- views: 5842
quasi steady increase of upstream Mach number (0.2 to 2.) on a NACA0012 airfoil with a 2° angle of attack
- inviscid computation, 2nd order MUSCL scheme, ~ 50k cells
- iso-lines and colored by Mach number (sonic line is thickened)
(done for training course)
- published: 01 Sep 2011
- views: 2560
In this tutorial, I will demonstrate how to convert from Mach number to knots given the outside air temperature OAT in degrees Celsius using the Jeppesen E6B mechanical flight computer. If you find any mistakes, please point them out. Feel free to leave questions, comments, and feedback below. Good luck on your journey to becoming a pilot!
- published: 11 Dec 2010
- views: 6251
In fluid mechanics, Mach number (Failed to parse (Missing texvc executable; please see math/README to configure.): \mathrm{Ma}
) (generally 
/ˈmɑːk/, sometimes /ˈmɑːx/ or /ˈmæk/) is a dimensionless number representing the speed of an object moving through air or other fluid divided by the local speed of sound. It is commonly used to represent the speed of an object when it is traveling close to or above the speed of sound.
where
Mach number varies by the composition of the surrounding medium and also by local conditions, especially temperature and pressure. The Mach number can be used to determine if a flow can be treated as an incompressible flow. If M < 0.2–0.3 and the flow is (quasi) steady and isothermal, compressibility effects will be small and a simplified incompressible flow model can be used.
The Mach number is named after Austrian physicist and philosopher Ernst Mach, a designation proposed by aeronautical engineer Jakob Ackeret. Because the Mach number is often viewed as a dimensionless quantity rather than a unit of measure, with Mach, the number comes after the unit; the second Mach number is "Mach 2" instead of "2 Mach" (or Machs). This is somewhat reminiscent of the early modern ocean sounding unit "mark" (a synonym for fathom), which was also unit-first, and may have influenced the use of the term Mach. In the decade preceding faster-than-sound human flight, aeronautical engineers referred to the speed of sound as Mach's number, never "Mach 1."
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Mach_number
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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4:04Mach Numbers
Mach NumbersMach Numbers
Mach numbers More free lessons at: http://www.khanacademy.org/video?v=VlaGxYjnoPY -
2:34Mach number
Mach numberMach number
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6:03Mach Number
Mach NumberMach Number
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11:35Mach number
Mach numberMach number
In fluid mechanics, Mach number /ˈmɑːx/ is a dimensionless quantity representing the ratio of speed of an object moving through a fluid and the local speed of sound. This video targeted to blind users. Attribution: Article text available under CC-BY-SA Public domain image source in video -
0:04mach number
mach numbermach number
Simulation running Ansys Fluent -
49:29Mod-01 Lec-04 Lecture-04-The Mach Number and Compressible Flow
Mod-01 Lec-04 Lecture-04-The Mach Number and Compressible FlowMod-01 Lec-04 Lecture-04-The Mach Number and Compressible Flow
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in -
3:37Explained: Critical Mach Number [Airplanes]
Explained: Critical Mach Number [Airplanes]Explained: Critical Mach Number [Airplanes]
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2:10Crash Course: Swept Wings
Crash Course: Swept WingsCrash Course: Swept Wings
Find out how wing sweep increases your critical mach number in this crash course episode. -
10:56Derive equation for sonic speed and discuss mach number
Derive equation for sonic speed and discuss mach numberDerive equation for sonic speed and discuss mach number
Speed of Sound Equation: 0:05 Modified for Ideal Gas: 1:01 Define Mach Number: 2:05 Speed of Sound Derivation: 2:39 Ideal Gas Derivation: 6:21 Discuss Mach Number: 8:28 Derive equation for sonic speed and discuss mach number: c, for ideal gas c=sqrt(k R T), Mach = V/c -
50:08Mod-01 Lec-30 Lecture-30-Critical Mach Number and Thin Airfoil Theory
Mod-01 Lec-30 Lecture-30-Critical Mach Number and Thin Airfoil TheoryMod-01 Lec-30 Lecture-30-Critical Mach Number and Thin Airfoil Theory
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in -
0:50NACA0012 - angle of attack 2° - Mach number sweep
NACA0012 - angle of attack 2° - Mach number sweepNACA0012 - angle of attack 2° - Mach number sweep
quasi steady increase of upstream Mach number (0.2 to 2.) on a NACA0012 airfoil with a 2° angle of attack - inviscid computation, 2nd order MUSCL scheme, ~ 50k cells - iso-lines and colored by Mach number (sonic line is thickened) (done for training course) -
1:51E6B Flight Computer: Mach Number to KTS
E6B Flight Computer: Mach Number to KTSE6B Flight Computer: Mach Number to KTS
In this tutorial, I will demonstrate how to convert from Mach number to knots given the outside air temperature OAT in degrees Celsius using the Jeppesen E6B mechanical flight computer. If you find any mistakes, please point them out. Feel free to leave questions, comments, and feedback below. Good luck on your journey to becoming a pilot! -
0:26CFD - Mach Number Bullet
CFD - Mach Number BulletCFD - Mach Number Bullet
Projétil ultrapassando a barreira do som (mach 1) by Palmito-UFSC, Engenharia Química Julio Cesar Zanchet Piaia -
4:43Lsn19 - Mach Number
Lsn19 - Mach NumberLsn19 - Mach Number
- Archimedes number
- Atwood number
- Austria
- Bagnold number
- Bejan number
- Biot number
- Brinkman number
- Capillary number
- Cauchy number
- Celsius
- Critical Mach number
- Damköhler numbers
- De Laval nozzle
- Dean number
- Deborah number
- Diffuser
- Dimensionless number
- Earth's atmosphere
- Eckert number
- EFIS
- Ekman number
- Ernst Mach
- Eötvös number
- F A-18 Hornet
- Fathom
- Feet per second
- Fluid
- Fluid dynamics
- Fluid mechanics
- Foot (length)
- Froude number
- Galilei number
- Graetz number
- Grashof number
- Görtler vortices
- Hagen number
- Heat capacity ratio
- Hypersonic
- Ideal gas
- Impact pressure
- Incompressible flow
- Isothermal flow
- Jakob Ackeret
- Knot (unit)
- Knudsen number
- Laplace number
- Lewis number
- Low Earth orbit
- Mach 2 (film)
- Mach number
- Machmeter
- Marangoni number
- Mass flow rate
- Meter per second
- Morton number
- Nozzle
- Nusselt number
- Ohnesorge number
- Pitot tube
- Prandtl number
- Péclet number
- Ramjet
- Rayleigh number
- Reynolds number
- Richardson number
- Roshko number
- Rossby number
- Rouse number
- Ruark number
- Schmidt number
- Scramjet
- Sherwood number
- Shields parameter
- Shock wave
- Sonic boom
- Sound barrier
- Speed of light
- Speed of sound
- Stanton number
- Static pressure
- Steady flow
- Stokes number
- Strouhal number
- Stuart number
- Supersonic
- Taylor number
- Temperature
- Transonic
- Transonic speed
- True airspeed
- Ursell number
- Velocity
- Weber number
- Weissenberg number
- Wind tunnel
- Womersley number
- Émile Sarrau
-
Mach Numbers
Mach numbers More free lessons at: http://www.khanacademy.org/video?v=VlaGxYjnoPY -
Mach number
-
Mach Number
-
Mach number
In fluid mechanics, Mach number /ˈmɑːx/ is a dimensionless quantity representing the ratio of speed of an object moving through a fluid and the local speed of sound. This video targeted to blind users. Attribution: Article text available under CC-BY-SA Public domain image source in video -
mach number
Simulation running Ansys Fluent -
Mod-01 Lec-04 Lecture-04-The Mach Number and Compressible Flow
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in -
Explained: Critical Mach Number [Airplanes]
-
Crash Course: Swept Wings
Find out how wing sweep increases your critical mach number in this crash course episode. -
Derive equation for sonic speed and discuss mach number
Speed of Sound Equation: 0:05 Modified for Ideal Gas: 1:01 Define Mach Number: 2:05 Speed of Sound Derivation: 2:39 Ideal Gas Derivation: 6:21 Discuss Mach Number: 8:28 Derive equation for sonic speed and discuss mach number: c, for ideal gas c=sqrt(k R T), Mach = V/c -
Mod-01 Lec-30 Lecture-30-Critical Mach Number and Thin Airfoil Theory
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in -
NACA0012 - angle of attack 2° - Mach number sweep
quasi steady increase of upstream Mach number (0.2 to 2.) on a NACA0012 airfoil with a 2° angle of attack - inviscid computation, 2nd order MUSCL scheme, ~ 50k cells - iso-lines and colored by Mach number (sonic line is thickened) (done for training course) -
E6B Flight Computer: Mach Number to KTS
In this tutorial, I will demonstrate how to convert from Mach number to knots given the outside air temperature OAT in degrees Celsius using the Jeppesen E6B mechanical flight computer. If you find any mistakes, please point them out. Feel free to leave questions, comments, and feedback below. Good luck on your journey to becoming a pilot! -
CFD - Mach Number Bullet
Projétil ultrapassando a barreira do som (mach 1) by Palmito-UFSC, Engenharia Química Julio Cesar Zanchet Piaia -
Lsn19 - Mach Number
-
How To Calculate True Air Speed (TAS) From A Mach Number | AviaTube Aviation Briefings
How to calculate True Air Speed (TAS) from a Mach Number with and without using a Jeppesen CR-2 or CR-3 flight computer. An instructional narrated 'how to' video useful for students studying to pass written Australian ATPL exams. To practice your calculations use AFT's question generator: http://www.aft.com.au/cgi-bin/acex/mach.cgi Direct Channel Link: http://www.youtube.com/c/AviaTube Facebook: -
MACH NUMBER 6 CYCLES
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Mach number Meaning
Video shows what Mach number means. The ratio of the velocity of a body to that of sound in the surrounding medium.. Mach number Meaning. How to pronounce, definition audio dictionary. How to say Mach number. Powered by MaryTTS, Wiktionary -
How To: Find Mach Number from a Picture (Part 1)
Want to look at a picture of a bullet/plane/etc. and be able to approximate the Mach number? In this video I show you three ways to find the Mach number from a Schlieren image. Disclaimer: The Mach numbers I obtain are, as mentioned in the video, approximations. I understand that they will not be entirely correct, but these methods can be used to get good initial estimates. Last Photo Note: On -
How To: Find Mach Number from a Picture (Part 3)
Want to look at a picture of a bullet/plane/etc. and be able to approximate the Mach number? In the previous videos on this topic (linked to below), I showed three different methods of approximating the Mach number from angles measured in a Schlieren image. Part 1: https://goo.gl/50saau Part 2: https://goo.gl/gqK19N For this video, I have updated my Taylor-Maccoll code such that it takes the s -
ANSYS CFX - De Laval Nozzle - Mach Number - CFD Simulation
CFD Simulation - Mach Number Computational Fluid Dynamics - ANSYS http://cfd.ninja/ ANSYS WORKBENCH De Laval Nozzle Lavaldüse Tuyère de Laval Bocal convergente-divergente Сопло Лаваля دي لافال فوهة ラバール・ノズル 拉伐尔喷管 Lavalova dýza De Lavalova mlaznica -
Evolving (active) galaxy cluster: shock patterns (Mach number)
Simulation credits: Vazza, Jones, Gheller, Bruggen, Brunetti & Ryu, on ITASCA at Minnesota Supercomputing Institute (MSI). Visualization credits: 3D renderings (Jones) with Hierarchical Volume Rendering, 'HVR,' developed in the LCSE at the University of Minnesota. Critical support from MSI (D. Porter) and LCSE (M. Knox). Evolution of a galaxy clusters, simulated using Enzo.2.1 and starting from a -
ANSYS CFX - Compressible Flow - Mach Number - CFD simulation - CFD Analysis
Simulation of velocities and static pressure http://cfd.ninja/ Computational Fluid Dynamics - ANSYS Aerodynamic вычислительная гидродинамика аэродинамика сжимаемый поток самолет 計算流體動力學 空氣動力學 可壓縮流 飛機 計算流体力学 空気力学 圧縮性流れ 航空機 कम्प्यूटेशनल तरल गतिकी वायुगतिकी सिकुड़ाया प्रवाह विमान ديناميات الموائع الحسابية الديناميكا الهوائية تدفق للانضغاط الطائرات -
Supersonic Flow - Mach Number
Double wedge airfoil under supersonic flow. Simulation ran using Ansys Fluent
Mach Numbers
- Order: Reorder
- Duration: 4:04
- Updated: 07 Jun 2010
- views: 58471
Mach numbers
More free lessons at: http://www.khanacademy.org/video?v=VlaGxYjnoPY...
Mach numbers
More free lessons at: http://www.khanacademy.org/video?v=VlaGxYjnoPY
wn.com/Mach Numbers
Mach numbers
More free lessons at: http://www.khanacademy.org/video?v=VlaGxYjnoPY
- published: 07 Jun 2010
- views: 58471
Mach number
- Order: Reorder
- Duration: 2:34
- Updated: 27 Oct 2015
- views: 348
...
wn.com/Mach Number
- published: 27 Oct 2015
- views: 348
Mach Number
- Order: Reorder
- Duration: 6:03
- Updated: 26 May 2012
- views: 1650
...
- published: 26 May 2012
- views: 1650
Mach number
- Order: Reorder
- Duration: 11:35
- Updated: 08 May 2014
- views: 1656
In fluid mechanics, Mach number /ˈmɑːx/ is a dimensionless quantity representing the ratio of speed of an object moving through a fluid and the local speed of ...
In fluid mechanics, Mach number /ˈmɑːx/ is a dimensionless quantity representing the ratio of speed of an object moving through a fluid and the local speed of sound.
This video targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Public domain image source in video
wn.com/Mach Number
In fluid mechanics, Mach number /ˈmɑːx/ is a dimensionless quantity representing the ratio of speed of an object moving through a fluid and the local speed of sound.
This video targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Public domain image source in video
- published: 08 May 2014
- views: 1656
mach number
- Order: Reorder
- Duration: 0:04
- Updated: 12 Nov 2015
- views: 36
Simulation running Ansys Fluent...
Simulation running Ansys Fluent
wn.com/Mach Number
Simulation running Ansys Fluent
- published: 12 Nov 2015
- views: 36
Mod-01 Lec-04 Lecture-04-The Mach Number and Compressible Flow
- Order: Reorder
- Duration: 49:29
- Updated: 20 Jul 2012
- views: 17191
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in...
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
wn.com/Mod 01 Lec 04 Lecture 04 The Mach Number And Compressible Flow
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
- published: 20 Jul 2012
- views: 17191
Explained: Critical Mach Number [Airplanes]
- Order: Reorder
- Duration: 3:37
- Updated: 12 Jun 2013
- views: 5290
...
wn.com/Explained Critical Mach Number Airplanes
- published: 12 Jun 2013
- views: 5290
Crash Course: Swept Wings
- Order: Reorder
- Duration: 2:10
- Updated: 30 Jun 2015
- views: 19662
Find out how wing sweep increases your critical mach number in this crash course episode....
Find out how wing sweep increases your critical mach number in this crash course episode.
wn.com/Crash Course Swept Wings
Find out how wing sweep increases your critical mach number in this crash course episode.
- published: 30 Jun 2015
- views: 19662
Derive equation for sonic speed and discuss mach number
- Order: Reorder
- Duration: 10:56
- Updated: 25 Feb 2014
- views: 1198
Speed of Sound Equation: 0:05
Modified for Ideal Gas: 1:01
Define Mach Number: 2:05
Speed of Sound Derivation: 2:39
Ideal Gas Derivation: 6:21
Discuss Mach Numb...
Speed of Sound Equation: 0:05
Modified for Ideal Gas: 1:01
Define Mach Number: 2:05
Speed of Sound Derivation: 2:39
Ideal Gas Derivation: 6:21
Discuss Mach Number: 8:28
Derive equation for sonic speed and discuss mach number: c, for ideal gas c=sqrt(k R T), Mach = V/c
wn.com/Derive Equation For Sonic Speed And Discuss Mach Number
Speed of Sound Equation: 0:05
Modified for Ideal Gas: 1:01
Define Mach Number: 2:05
Speed of Sound Derivation: 2:39
Ideal Gas Derivation: 6:21
Discuss Mach Number: 8:28
Derive equation for sonic speed and discuss mach number: c, for ideal gas c=sqrt(k R T), Mach = V/c
- published: 25 Feb 2014
- views: 1198
Mod-01 Lec-30 Lecture-30-Critical Mach Number and Thin Airfoil Theory
- Order: Reorder
- Duration: 50:08
- Updated: 20 Jul 2012
- views: 5842
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in...
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
wn.com/Mod 01 Lec 30 Lecture 30 Critical Mach Number And Thin Airfoil Theory
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
- published: 20 Jul 2012
- views: 5842
NACA0012 - angle of attack 2° - Mach number sweep
- Order: Reorder
- Duration: 0:50
- Updated: 01 Sep 2011
- views: 2560
quasi steady increase of upstream Mach number (0.2 to 2.) on a NACA0012 airfoil with a 2° angle of attack
- inviscid computation, 2nd order MUSCL scheme, ~ 50k ...
quasi steady increase of upstream Mach number (0.2 to 2.) on a NACA0012 airfoil with a 2° angle of attack
- inviscid computation, 2nd order MUSCL scheme, ~ 50k cells
- iso-lines and colored by Mach number (sonic line is thickened)
(done for training course)
wn.com/Naca0012 Angle Of Attack 2° Mach Number Sweep
quasi steady increase of upstream Mach number (0.2 to 2.) on a NACA0012 airfoil with a 2° angle of attack
- inviscid computation, 2nd order MUSCL scheme, ~ 50k cells
- iso-lines and colored by Mach number (sonic line is thickened)
(done for training course)
- published: 01 Sep 2011
- views: 2560
E6B Flight Computer: Mach Number to KTS
- Order: Reorder
- Duration: 1:51
- Updated: 11 Dec 2010
- views: 6251
In this tutorial, I will demonstrate how to convert from Mach number to knots given the outside air temperature OAT in degrees Celsius using the Jeppesen E6B me...
In this tutorial, I will demonstrate how to convert from Mach number to knots given the outside air temperature OAT in degrees Celsius using the Jeppesen E6B mechanical flight computer. If you find any mistakes, please point them out. Feel free to leave questions, comments, and feedback below. Good luck on your journey to becoming a pilot!
wn.com/E6B Flight Computer Mach Number To Kts
In this tutorial, I will demonstrate how to convert from Mach number to knots given the outside air temperature OAT in degrees Celsius using the Jeppesen E6B mechanical flight computer. If you find any mistakes, please point them out. Feel free to leave questions, comments, and feedback below. Good luck on your journey to becoming a pilot!
- published: 11 Dec 2010
- views: 6251
CFD - Mach Number Bullet
- Order: Reorder
- Duration: 0:26
- Updated: 11 Oct 2007
- views: 16894
Projétil ultrapassando a barreira do som (mach 1) by Palmito-UFSC, Engenharia Química
Julio Cesar Zanchet Piaia...
Projétil ultrapassando a barreira do som (mach 1) by Palmito-UFSC, Engenharia Química
Julio Cesar Zanchet Piaia
wn.com/Cfd Mach Number Bullet
Projétil ultrapassando a barreira do som (mach 1) by Palmito-UFSC, Engenharia Química
Julio Cesar Zanchet Piaia
- published: 11 Oct 2007
- views: 16894
Lsn19 - Mach Number
- Order: Reorder
- Duration: 4:43
- Updated: 07 Jan 2015
- views: 62
...
wn.com/Lsn19 Mach Number
- published: 07 Jan 2015
- views: 62
How To Calculate True Air Speed (TAS) From A Mach Number | AviaTube Aviation Briefings
- Order: Reorder
- Duration: 2:52
- Updated: 11 Sep 2013
- views: 9243
How to calculate True Air Speed (TAS) from a Mach Number with and without using a Jeppesen CR-2 or CR-3 flight computer. An instructional narrated 'how to' vide...
How to calculate True Air Speed (TAS) from a Mach Number with and without using a Jeppesen CR-2 or CR-3 flight computer. An instructional narrated 'how to' video useful for students studying to pass written Australian ATPL exams.
To practice your calculations use AFT's question generator:
http://www.aft.com.au/cgi-bin/acex/mach.cgi
Direct Channel Link: http://www.youtube.com/c/AviaTube
Facebook: http://www.facebook.com/AviaTube
Twitter: @AviaTube http://twitter.com/AviaTube
Instagram: @avia_tube http://instagram.com/avia_tube/
wn.com/How To Calculate True Air Speed (Tas) From A Mach Number | Aviatube Aviation Briefings
How to calculate True Air Speed (TAS) from a Mach Number with and without using a Jeppesen CR-2 or CR-3 flight computer. An instructional narrated 'how to' video useful for students studying to pass written Australian ATPL exams.
To practice your calculations use AFT's question generator:
http://www.aft.com.au/cgi-bin/acex/mach.cgi
Direct Channel Link: http://www.youtube.com/c/AviaTube
Facebook: http://www.facebook.com/AviaTube
Twitter: @AviaTube http://twitter.com/AviaTube
Instagram: @avia_tube http://instagram.com/avia_tube/
- published: 11 Sep 2013
- views: 9243
MACH NUMBER 6 CYCLES
- Order: Reorder
- Duration: 0:20
- Updated: 08 Jun 2009
- views: 843
...
wn.com/Mach Number 6 Cycles
- published: 08 Jun 2009
- views: 843
Mach number Meaning
- Order: Reorder
- Duration: 0:27
- Updated: 20 Apr 2015
- views: 150
Video shows what Mach number means. The ratio of the velocity of a body to that of sound in the surrounding medium.. Mach number Meaning. How to pronounce, def...
Video shows what Mach number means. The ratio of the velocity of a body to that of sound in the surrounding medium.. Mach number Meaning. How to pronounce, definition audio dictionary. How to say Mach number. Powered by MaryTTS, Wiktionary
wn.com/Mach Number Meaning
Video shows what Mach number means. The ratio of the velocity of a body to that of sound in the surrounding medium.. Mach number Meaning. How to pronounce, definition audio dictionary. How to say Mach number. Powered by MaryTTS, Wiktionary
- published: 20 Apr 2015
- views: 150
How To: Find Mach Number from a Picture (Part 1)
- Order: Reorder
- Duration: 15:30
- Updated: 19 Jan 2016
- views: 53
Want to look at a picture of a bullet/plane/etc. and be able to approximate the Mach number? In this video I show you three ways to find the Mach number from a...
Want to look at a picture of a bullet/plane/etc. and be able to approximate the Mach number? In this video I show you three ways to find the Mach number from a Schlieren image.
Disclaimer: The Mach numbers I obtain are, as mentioned in the video, approximations. I understand that they will not be entirely correct, but these methods can be used to get good initial estimates.
Last Photo Note: On the news article (cited below), they state that the plane reached a maximum Mach number of 1.09. However, there was a Reddit post from someone who worked on the team that took the pictures, and he states the plane was flying at just under Mach 1.2 when the photos were taken. Here is the link to that post:
https://www.reddit.com/r/pics/comments/3iuouf/this_is_what_piercing_the_sound_barrier_looks_like/?limit=500
1st Photo Credit
By Settles1 (Own work) [CC BY-SA 3.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons
2nd/3rd Photo Credit
School of Aerospace, Mechanical and Mechatronic Engineering
University of Sydney, 1998-2004
4th Photo Credit
Tumblr: jefflownsbury-blog
5th Photo Credit
By NASA Langley Research Center, X-15 testing
6th Photo Credit
By NASA Glenn Research Center [Public domain], via Wikimedia Commons
7th Photo Credit
NASA photo
http://www.nasa.gov/centers/armstrong/features/shock_and_awesome.html
wn.com/How To Find Mach Number From A Picture (Part 1)
Want to look at a picture of a bullet/plane/etc. and be able to approximate the Mach number? In this video I show you three ways to find the Mach number from a Schlieren image.
Disclaimer: The Mach numbers I obtain are, as mentioned in the video, approximations. I understand that they will not be entirely correct, but these methods can be used to get good initial estimates.
Last Photo Note: On the news article (cited below), they state that the plane reached a maximum Mach number of 1.09. However, there was a Reddit post from someone who worked on the team that took the pictures, and he states the plane was flying at just under Mach 1.2 when the photos were taken. Here is the link to that post:
https://www.reddit.com/r/pics/comments/3iuouf/this_is_what_piercing_the_sound_barrier_looks_like/?limit=500
1st Photo Credit
By Settles1 (Own work) [CC BY-SA 3.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons
2nd/3rd Photo Credit
School of Aerospace, Mechanical and Mechatronic Engineering
University of Sydney, 1998-2004
4th Photo Credit
Tumblr: jefflownsbury-blog
5th Photo Credit
By NASA Langley Research Center, X-15 testing
6th Photo Credit
By NASA Glenn Research Center [Public domain], via Wikimedia Commons
7th Photo Credit
NASA photo
http://www.nasa.gov/centers/armstrong/features/shock_and_awesome.html
- published: 19 Jan 2016
- views: 53
How To: Find Mach Number from a Picture (Part 3)
- Order: Reorder
- Duration: 6:41
- Updated: 22 Jan 2016
- views: 40
Want to look at a picture of a bullet/plane/etc. and be able to approximate the Mach number? In the previous videos on this topic (linked to below), I showed t...
Want to look at a picture of a bullet/plane/etc. and be able to approximate the Mach number? In the previous videos on this topic (linked to below), I showed three different methods of approximating the Mach number from angles measured in a Schlieren image.
Part 1:
https://goo.gl/50saau
Part 2:
https://goo.gl/gqK19N
For this video, I have updated my Taylor-Maccoll code such that it takes the shock angle and cone angle as inputs (I find them using the Measure Tool from GIMP), and computes the freestream Mach number. This is best way to approximate the Mach number from an image (for conical flow).
I will be explaining and posting my code that I used here in a future video, when I get around to finishing up the derivation of the Taylor-Maccoll equation. If you want to be notified of future videos, please subscribe to my channel.
Photo Credits:
School of Aerospace, Mechanical and Mechatronic Engineering
University of Sydney, 1998-2004
By NASA Glenn Research Center [Public domain], via Wikimedia Commons
NASA photo
http://www.nasa.gov/centers/armstrong/features/shock_and_awesome.html
wn.com/How To Find Mach Number From A Picture (Part 3)
Want to look at a picture of a bullet/plane/etc. and be able to approximate the Mach number? In the previous videos on this topic (linked to below), I showed three different methods of approximating the Mach number from angles measured in a Schlieren image.
Part 1:
https://goo.gl/50saau
Part 2:
https://goo.gl/gqK19N
For this video, I have updated my Taylor-Maccoll code such that it takes the shock angle and cone angle as inputs (I find them using the Measure Tool from GIMP), and computes the freestream Mach number. This is best way to approximate the Mach number from an image (for conical flow).
I will be explaining and posting my code that I used here in a future video, when I get around to finishing up the derivation of the Taylor-Maccoll equation. If you want to be notified of future videos, please subscribe to my channel.
Photo Credits:
School of Aerospace, Mechanical and Mechatronic Engineering
University of Sydney, 1998-2004
By NASA Glenn Research Center [Public domain], via Wikimedia Commons
NASA photo
http://www.nasa.gov/centers/armstrong/features/shock_and_awesome.html
- published: 22 Jan 2016
- views: 40
ANSYS CFX - De Laval Nozzle - Mach Number - CFD Simulation
- Order: Reorder
- Duration: 0:43
- Updated: 17 Oct 2014
- views: 1320
CFD Simulation - Mach Number
Computational Fluid Dynamics - ANSYS
http://cfd.ninja/
ANSYS WORKBENCH
De Laval Nozzle
Lavaldüse
Tuyère de Laval
Bocal convergente-...
CFD Simulation - Mach Number
Computational Fluid Dynamics - ANSYS
http://cfd.ninja/
ANSYS WORKBENCH
De Laval Nozzle
Lavaldüse
Tuyère de Laval
Bocal convergente-divergente
Сопло Лаваля
دي لافال فوهة
ラバール・ノズル
拉伐尔喷管
Lavalova dýza
De Lavalova mlaznica
wn.com/Ansys Cfx De Laval Nozzle Mach Number Cfd Simulation
CFD Simulation - Mach Number
Computational Fluid Dynamics - ANSYS
http://cfd.ninja/
ANSYS WORKBENCH
De Laval Nozzle
Lavaldüse
Tuyère de Laval
Bocal convergente-divergente
Сопло Лаваля
دي لافال فوهة
ラバール・ノズル
拉伐尔喷管
Lavalova dýza
De Lavalova mlaznica
- published: 17 Oct 2014
- views: 1320
Evolving (active) galaxy cluster: shock patterns (Mach number)
- Order: Reorder
- Duration: 0:13
- Updated: 08 Jul 2013
- views: 146
Simulation credits: Vazza, Jones, Gheller, Bruggen, Brunetti & Ryu, on ITASCA at Minnesota Supercomputing Institute (MSI).
Visualization credits: 3D renderings ...
Simulation credits: Vazza, Jones, Gheller, Bruggen, Brunetti & Ryu, on ITASCA at Minnesota Supercomputing Institute (MSI).
Visualization credits: 3D renderings (Jones) with Hierarchical Volume Rendering, 'HVR,'
developed in the LCSE at the University of Minnesota. Critical support from MSI (D. Porter) and LCSE (M. Knox).
Evolution of a galaxy clusters, simulated using Enzo.2.1 and starting from a set of nested initial conditions.
Quantity shown: projected Mach number of shocks.
Side of the box on display: 6Mpc. Time goes from about 13 billions years ago to nowadays.
wn.com/Evolving (Active) Galaxy Cluster Shock Patterns (Mach Number)
Simulation credits: Vazza, Jones, Gheller, Bruggen, Brunetti & Ryu, on ITASCA at Minnesota Supercomputing Institute (MSI).
Visualization credits: 3D renderings (Jones) with Hierarchical Volume Rendering, 'HVR,'
developed in the LCSE at the University of Minnesota. Critical support from MSI (D. Porter) and LCSE (M. Knox).
Evolution of a galaxy clusters, simulated using Enzo.2.1 and starting from a set of nested initial conditions.
Quantity shown: projected Mach number of shocks.
Side of the box on display: 6Mpc. Time goes from about 13 billions years ago to nowadays.
- published: 08 Jul 2013
- views: 146
ANSYS CFX - Compressible Flow - Mach Number - CFD simulation - CFD Analysis
- Order: Reorder
- Duration: 1:44
- Updated: 14 May 2014
- views: 3602
Simulation of velocities and static pressure
http://cfd.ninja/
Computational Fluid Dynamics - ANSYS
Aerodynamic
вычислительная гидродинамика
аэродинамика
сжим...
Simulation of velocities and static pressure
http://cfd.ninja/
Computational Fluid Dynamics - ANSYS
Aerodynamic
вычислительная гидродинамика
аэродинамика
сжимаемый поток
самолет
計算流體動力學
空氣動力學
可壓縮流
飛機
計算流体力学
空気力学
圧縮性流れ
航空機
कम्प्यूटेशनल तरल गतिकी
वायुगतिकी
सिकुड़ाया प्रवाह
विमान
ديناميات الموائع الحسابية
الديناميكا الهوائية
تدفق للانضغاط
الطائرات
wn.com/Ansys Cfx Compressible Flow Mach Number Cfd Simulation Cfd Analysis
Simulation of velocities and static pressure
http://cfd.ninja/
Computational Fluid Dynamics - ANSYS
Aerodynamic
вычислительная гидродинамика
аэродинамика
сжимаемый поток
самолет
計算流體動力學
空氣動力學
可壓縮流
飛機
計算流体力学
空気力学
圧縮性流れ
航空機
कम्प्यूटेशनल तरल गतिकी
वायुगतिकी
सिकुड़ाया प्रवाह
विमान
ديناميات الموائع الحسابية
الديناميكا الهوائية
تدفق للانضغاط
الطائرات
- published: 14 May 2014
- views: 3602
Supersonic Flow - Mach Number
- Order: Reorder
- Duration: 0:07
- Updated: 20 Nov 2015
- views: 106
Double wedge airfoil under supersonic flow. Simulation ran using Ansys Fluent...
Double wedge airfoil under supersonic flow. Simulation ran using Ansys Fluent
wn.com/Supersonic Flow Mach Number
Double wedge airfoil under supersonic flow. Simulation ran using Ansys Fluent
- published: 20 Nov 2015
- views: 106
close fullscreen
- Playlist
- Chat
close fullscreen
- Playlist
- Chat
4:04
Mach Numbers
Mach numbers
More free lessons at: http://www.khanacademy.org/video?v=VlaGxYjnoPY...
published: 07 Jun 2010
Mach Numbers
Mach Numbers
- Report rights infringement
- published: 07 Jun 2010
- views: 58471
2:34
Mach number
...
published: 27 Oct 2015
Mach number
Mach number
- Report rights infringement
- published: 27 Oct 2015
- views: 348
6:03
Mach Number
...
published: 26 May 2012
Mach Number
Mach Number
- Report rights infringement
- published: 26 May 2012
- views: 1650
11:35
Mach number
In fluid mechanics, Mach number /ˈmɑːx/ is a dimensionless quantity representing the rati...
published: 08 May 2014
Mach number
Mach number
- Report rights infringement
- published: 08 May 2014
- views: 1656
0:04
mach number
Simulation running Ansys Fluent...
published: 12 Nov 2015
mach number
mach number
- Report rights infringement
- published: 12 Nov 2015
- views: 36
49:29
Mod-01 Lec-04 Lecture-04-The Mach Number and Compressible Flow
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. F...
published: 20 Jul 2012
Mod-01 Lec-04 Lecture-04-The Mach Number and Compressible Flow
Mod-01 Lec-04 Lecture-04-The Mach Number and Compressible Flow
- Report rights infringement
- published: 20 Jul 2012
- views: 17191
3:37
Explained: Critical Mach Number [Airplanes]
...
published: 12 Jun 2013
Explained: Critical Mach Number [Airplanes]
Explained: Critical Mach Number [Airplanes]
- Report rights infringement
- published: 12 Jun 2013
- views: 5290
2:10
Crash Course: Swept Wings
Find out how wing sweep increases your critical mach number in this crash course episode....
published: 30 Jun 2015
Crash Course: Swept Wings
Crash Course: Swept Wings
- Report rights infringement
- published: 30 Jun 2015
- views: 19662
10:56
Derive equation for sonic speed and discuss mach number
Speed of Sound Equation: 0:05
Modified for Ideal Gas: 1:01
Define Mach Number: 2:05
Speed ...
published: 25 Feb 2014
Derive equation for sonic speed and discuss mach number
Derive equation for sonic speed and discuss mach number
- Report rights infringement
- published: 25 Feb 2014
- views: 1198
50:08
Mod-01 Lec-30 Lecture-30-Critical Mach Number and Thin Airfoil Theory
Advanced Gas Dynamics by Dr.Rinku Mukherjee,Department of Applied Mechanics, IIT Madras. F...
published: 20 Jul 2012
Mod-01 Lec-30 Lecture-30-Critical Mach Number and Thin Airfoil Theory
Mod-01 Lec-30 Lecture-30-Critical Mach Number and Thin Airfoil Theory
- Report rights infringement
- published: 20 Jul 2012
- views: 5842
0:50
NACA0012 - angle of attack 2° - Mach number sweep
quasi steady increase of upstream Mach number (0.2 to 2.) on a NACA0012 airfoil with a 2° ...
published: 01 Sep 2011
NACA0012 - angle of attack 2° - Mach number sweep
NACA0012 - angle of attack 2° - Mach number sweep
- Report rights infringement
- published: 01 Sep 2011
- views: 2560
1:51
E6B Flight Computer: Mach Number to KTS
In this tutorial, I will demonstrate how to convert from Mach number to knots given the ou...
published: 11 Dec 2010
E6B Flight Computer: Mach Number to KTS
E6B Flight Computer: Mach Number to KTS
- Report rights infringement
- published: 11 Dec 2010
- views: 6251
0:26
CFD - Mach Number Bullet
Projétil ultrapassando a barreira do som (mach 1) by Palmito-UFSC, Engenharia Química
J...
published: 11 Oct 2007
CFD - Mach Number Bullet
CFD - Mach Number Bullet
- Report rights infringement
- published: 11 Oct 2007
- views: 16894
4:43
Lsn19 - Mach Number
...
published: 07 Jan 2015
Lsn19 - Mach Number
Lsn19 - Mach Number
- Report rights infringement
- published: 07 Jan 2015
- views: 62
Mach Numbers...
Mach number...
Mach Number...
Mach number...
mach number...
Mod-01 Lec-04 Lecture-04-The Mach Number and Compr...
![Explained: Critical Mach Number [Airplanes]](http://web.archive.org./web/20160217062516/http://i.ytimg.com/vi/e3BWJZIvXQ4/0.jpg)
Explained: Critical Mach Number [Airplanes]...
Crash Course: Swept Wings...
Derive equation for sonic speed and discuss mach n...
Mod-01 Lec-30 Lecture-30-Critical Mach Number and ...
NACA0012 - angle of attack 2° - Mach number sweep...
E6B Flight Computer: Mach Number to KTS...
CFD - Mach Number Bullet...
Lsn19 - Mach Number...
How To Calculate True Air Speed (TAS) From A Mach ...
MACH NUMBER 6 CYCLES...
Mach number Meaning...
How To: Find Mach Number from a Picture (Part 1)...
How To: Find Mach Number from a Picture (Part 3)...
ANSYS CFX - De Laval Nozzle - Mach Number - CFD Si...
Evolving (active) galaxy cluster: shock patterns (...
ANSYS CFX - Compressible Flow - Mach Number - CFD ...
Supersonic Flow - Mach Number...
photo: AP / John Storey
Savage, Trump Consider Theory Scalia Was Murdered At Ranch
Edit WorldNews.com 16 Feb 2016
The death of Associate US Supreme Court Justice Antonin Scalia on Saturday has caused a constitutional crisis in the United States with President Barack Obama insisting it’s his constitutional duty to present a nominee and the Republican-led US Senate, who advises and confirms the potential nominee, wanting to hold off until a new president takes over in January 2017 ... What do you think of that?" ... His bed clothes were unwrinkled."....
photo: AP / ISNA,Mehdi Ghasemi
Israel's Impatience To Launch Stuxnet Virus On Iran Results In Blown Operation: Report
Edit WorldNews.com 16 Feb 2016
The film for the first time quotes sources within the US intelligence community – including Gen ... The testimony is delivered anonymously by an actress whose face remains hidden. According to the claims made in the film, the hasty Israeli action to launch Stuxnet prevented the carrying out of a number of further planned actions that were intended to sabotage computers at a second, more fortified uranium enrichment facility at Fordow....
photo: Creative Commons / Pulmonary Pathology
New cancer treatment sparks excitement
Edit BBC News 16 Feb 2016
A therapy that re-trains the body's immune system to fight cancer has provoked excitement among scientists ... ....
photo: Public Domain / Christian Spitschka
Referee Dies After Soccer Player Shoots Him During Game
Edit Huffington Post 16 Feb 2016
A soccer player is on the lam in Argentina after he allegedly shot and killed a referee who sent him off. The man was reportedly shown a red card for hitting another player during an amateur league match in Cordoba on Sunday ... Zarate was hospitalized but is recovering ... Also on HuffPost. ... ....
photo: AP / Nati Harnik
Trump Brings Same In-Your-Face Attitude To GOP Presidential Politics Attacking Cruz, Rubio
Edit WorldNews.com 16 Feb 2016
GOP presidential frontrunner Donald Trump didn’t get to where he is as a businessman and potential nominee by portraying himself as a shy wallflower – and that in-your-face attitude is shaking up Republican presidential politics. Voters need only look at Trump’s actions over the past few days to see how the real-estate developer is handling the race for the White House ... Cruz was born in Alberta, but his mother was an American citizen....
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Challenge is On to Design Sky for All (Ames Research Center)
Edit Public Technologies 17 Dec 2015
(Source. Ames Research Center). Since the Concorde's final landing at London's Heathrow Airport nearly a decade ago, commercial supersonic air travel has been as elusive as a piece of lost luggage ... the loud sonic boom ... airspace during the Concorde era ... This knowledge was needed across a range of flight conditions at Mach numbers from 0.25 to 1.8, and at various angles occurring between the airflow and the aircraft as it flies.' ... Karen L....
Commentary: Hot time over the North Sea
Edit Austin American Statesman 20 Nov 2015
We accelerated to a predetermined indicated airspeed, different than Mach number, and raised the nose in our climb to 50,000 feet. The Mach number continued to increase as we climbed ... The heat from the Mach run burned several layers of paint away revealing white letters and numbers ... The fleet was immediately restricted to M2.2 because the heat does not really start to build until above that Mach number....
Bay Area Girls Produce Career Videos of NASA Women Scientists (Ames Research Center)
Edit Public Technologies 13 Oct 2015
(Source. Ames Research Center). Since the Concorde's final landing at London's Heathrow Airport nearly a decade ago, commercial supersonic air travel has been as elusive as a piece of lost luggage ... the loud sonic boom ... airspace during the Concorde era ... This knowledge was needed across a range of flight conditions at Mach numbers from 0.25 to 1.8, and at various angles occurring between the airflow and the aircraft as it flies.' ... Karen L....
NASA's 10 Favorite Ways to Celebrate National Aviation Day (Ames Research Center)
Edit Public Technologies 12 Aug 2015
That's because there's no single Dewey Decimal number for aviation ... Engineers at NASA's Langley Research Center in Hampton, Virginia, developed and tested a number of non-stick coatings in a small wind tunnel and on the wing of a NASA Langley jet ... This knowledge was needed across a range of flight conditions at Mach numbers from 0.25 to 1.8, and at various angles occurring between the airflow and the aircraft as it flies."....
NASA Selects University Small Spacecraft Researchers to Collaborate on New Projects (Ames Research Center)
Edit Public Technologies 06 Aug 2015
With this selection the total number of technologies selected for test flights facilitated by the Flight Opportunities Program of NASA's Space Technology Mission Directorate is raised to 150 ... The arresting imagery is providing the engineers and scientists on the LDSD project with never before seen insights into the dynamics involved with flying such a vehicle at high altitudes and Mach numbers....
'107 feet of fire-breathing titanium': A US Air Force major describes flying the fastest plane in history
Edit Business Insider 04 Aug 2015
In the 1960s, when a single military incident had the potential to spark a nuclear war, the US government needed a surveillance plane that absolutely could not be detected, intercepted, or shot down. The answer was the SR-71 ... And every inch of the aircraft was meticulously designed to baffle radar detection ... Let's just say that the plane truly loved speed and effortlessly took us to Mach numbers we hadn't previously seen." ... ....
NASA Testing Space Technologies with Wallops Rocket Launch July 7 (Ames Research Center)
Edit Public Technologies 02 Jul 2015
(Source ... Credits. NASA/Berit Bland ... The payload will not be recovered ... While launched with EVE in mind, the May sounding rocket will also, in fact, serve as a calibration tool for a number of solar EUV instruments currently in space ... 9 ... The arresting imagery is providing the engineers and scientists on the LDSD project with never before seen insights into the dynamics involved with flying such a vehicle at high altitudes and Mach numbers....
You're Invited to NASA UTM 2015: The Next Era of Aviation (Ames Research Center)
Edit noodls 12 Jun 2015
While NASA and the UAS industry face steep challenges, a number of companies are already addressing some of these issues ... This knowledge was needed across a range of flight conditions at Mach numbers from 0.25 to 1.8, and at various angles occurring between the airflow and the aircraft as it flies."....
The Cloud and Collaboration: NASA Leads Development of a New System to Manage Low Altitude Drones (Ames Research Center)
Edit noodls 11 Jun 2015
While NASA and the UAS industry face steep challenges, a number of companies are already addressing some of these issues ... This knowledge was needed across a range of flight conditions at Mach numbers from 0.25 to 1.8, and at various angles occurring between the airflow and the aircraft as it flies."....
NASA's LDSD Project Completes Second Experimental Test Flight (NASA - The National Aeronautics and Space Administration)
Edit noodls 09 Jun 2015
An onboard rocket motor then took the vehicle to 180,000 feet, where the first braking technology, the Supersonic Inflatable Aerodynamic Decelerator (SIAD), deployed at about Mach 3 at 11.37 a.m ... With a much greater appreciation for challenges involved with parachute inflations that are described with Mach numbers, the council offered up two major recommendations....
NASA to Hold Briefing to Discuss Status of ‘Flying Saucer’ Test (NASA - The National Aeronautics and Space Administration)
Edit noodls 09 Jun 2015
A small laptop was playing the first memory card pulled from their saucer-shaped LDSD test vehicle freshly fished from the ocean after its Mach 4 trip to the edge of space ... With a much greater appreciation for challenges involved with parachute inflations that are described with Mach numbers, the council offered up two major recommendations ... One of the keys to reducing the cost of rocket parts is minimizing the number of components....
The Supreme Council of Parachute Experts (Jet Propulsion Laboratory)
Edit noodls 28 May 2015
A small laptop was playing the first memory card pulled from their saucer-shaped LDSD test vehicle freshly fished from the ocean after its Mach 4 trip to the edge of space ... With a much greater appreciation for challenges involved with parachute inflations that are described with Mach numbers, the council offered up two major recommendations....
Orion Heat Shield Analysis Work Nears Conclusion at NASA's Marshall Center (Ames Research Center)
Edit noodls 28 May 2015
They were first put in the 11-by-11-foot transonic wind tunnel, with wind speeds ranging from Mach .7 to Mach 1.4. A Mach figure represents the ratio of the speed of an object to the speed of sound in the surrounding medium, like air ... "We tested a wide range of configurations, Mach numbers, angles and more than 4,000 data conditions -- each one with hundreds of transducer measurements."....
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