- published: 18 Aug 2015
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In continuum mechanics, a fluid is said to be in hydrostatic equilibrium or hydrostatic balance when it is at rest, or when the flow velocity at each point is constant over time. This occurs when external forces such as gravity are balanced by a pressure gradient force. For instance, the pressure-gradient force prevents gravity from collapsing Earth's atmosphere into a thin, dense shell, whereas gravity prevents the pressure gradient force from diffusing the atmosphere into space.
Hydrostatic equilibrium is the current distinguishing criterion between dwarf planets and small Solar System bodies, and has other roles in astrophysics and planetary geology. This qualification typically means that the object is symmetrically rounded into a spheroid or ellipsoid shape, where any irregular surface features are due to a relatively thin solid crust. There are 31 observationally confirmed such objects (apart from the Sun), sometimes called planemos, in the Solar System, seven more that are virtually certain, and a hundred or so more that are likely.
Equilibrium may refer to:
The Sun (in Greek: Helios, in Latin: Sol) is the star at the center of the Solar System and is by far the most important source of energy for life on Earth. It is a nearly perfect spherical ball of hot plasma, with internal convective motion that generates a magnetic field via a dynamo process. Its diameter is about 109 times that of Earth, and it has a mass about 330,000 times that of Earth, accounting for about 99.86% of the total mass of the Solar System.About three quarters of the Sun's mass consists of hydrogen; the rest is mostly helium, with much smaller quantities of heavier elements, including oxygen, carbon, neon and iron.
The Sun is a G-type main-sequence star (G2V) based on spectral class and it is informally referred to as a yellow dwarf. It formed approximately 4.567 billion years ago from the gravitational collapse of matter within a region of a large molecular cloud. Most of this matter gathered in the center, whereas the rest flattened into an orbiting disk that became the Solar System. The central mass became increasingly hot and dense, eventually initiating nuclear fusion in its core. It is thought that almost all stars form by this process.
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Demonstration of Hydrostatic Equilibrium using a balloon and liquid nitrogen. The response of the balloon to being chilled by liquid nitrogen is enhanced by the latex material becoming stiffer when it is chilled by the liquid nitrogen. Recorded 2015 April 23 by Prof. Richard Pogge, The Ohio State University, Department of Astronomy.
The deeper you go in a fluid (for example, deeper below the ocean, or lower in the atmosphere) the greater the pressure. The pressure is equal to the weight of all the fluid above you, per area. This is a derivation of the pressure as a function of depth, assuming that the fluid is incompressible, i.e. its density is constant.
http://www.teachastronomy.com/ Stars are stable. For most of their lives, fusion provides the energy source. Even though the Sun and other stars are fusing hydrogen into helium, it does not mean that they are bombs. The Sun will be stable for billions of years. Stars also do not cool off. Energy flows continuously from the core where fusion occurs to the outer cooler regions. At every point within a stable star there's an energy balance between two forces: the inward force of gravity and the outward pressure caused by energy release from nuclear reactions. This balance is called hydrostatic equilibrium.
This video demonstrates the increase of pressure with depth in a fluid of constant density and one with increasing density analogous to a star's material.
In continuum mechanics, a fluid is said to be in hydrostatic equilibrium or hydrostatic balance when it is at rest, or when the flow velocity at each point is constant over time. This occurs when external forces such as gravity are balanced by a pressure gradient force. For instance, the pressure-gradient force prevents gravity from collapsing Earth's atmosphere into a thin, dense shell, whereas gravity prevents the pressure gradient force from diffusing the atmosphere into space. Hydrostatic equilibrium is the current distinguishing criterion between dwarf planets and small Solar System bodies, and has other roles in astrophysics and planetary geology. This qualification typically means that the object is symmetrically rounded into a spheroid or ellipsoid shape, where any irregular surfac...
In this hydrodynamics problem we are asked what guage pressure must a machine produce in order to suck mud of a density 1800 kg/m3 up a tube by a height of 1.5 m?
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The Atmosphere, the Ocean and Environmental Change (GG 140) The hydrostatic law describes the weight of a fluid overlying a given area, or the pressure at a particular point. It can be used to calculate the approximate atmospheric mass over a particular area, or to calculate the change in pressure over a given change in altitude. A calculation of the pressure difference from the ground to the twelfth floor of Klein Biology Tower is found to agree well with measurements taken at both locations. The hydrostatic law also applies to pressure changes with depth in the ocean. 00:00 - Chapter 1. Recap of Planet Temperature 11:20 - Chapter 2. Hydrostatic Balance 19:15 - Chapter 3. Calculation of CO2 Mass in the Atmosphere 22:08 - Chapter 4. Derivation of the Differential Form of the Hy...
http://www.handwrittentutorials.com - This tutorial discusses the Forces of Filtration which occur in the Glomeruli of the kidneys. In particular, Starling's forces are discussed, namely Hydrostatic Pressure and Oncotic Pressure. To get the most out of this video, we suggest you watch the Renal Anatomy series before watching this tutorial. For more entirely FREE tutorials and their accompanying PDFs, visit http://www.handwrittentutorials.com