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Continuum mechanics
Laws Conservation of mass Conservation of momentum Conservation of energy Entropy inequality
Solid mechanics Solids Stress · Deformation Compatibility Finite strain · Infinitesimal strain Elasticity (linear) · Plasticity Bending · Hooke's law Failure theory Fracture mechanics Frictionless/Frictional Contact mechanics
Fluid mechanics Fluids Fluid statics · Fluid dynamics Surface tension Navier–Stokes equations Viscosity: Newtonian, Non-Newtonian
Rheology Viscoelasticity Smart fluids: Magnetorheological Electrorheological Ferrofluids Rheometry · Rheometer
Scientists Bernoulli · Cauchy · Hooke Navier · Newton · Stokes
v t e

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.

In common usage, "fluid" is often used as a synonym for "liquid", with no implication that gas could also be present. For example, "brake fluid" is hydraulic oil and will not perform its required function if there is gas in it. This colloquial usage of the term is also common in medicine and in nutrition ("take plenty of fluids").

Liquids form a free surface (that is, a surface not created by the container) while gases do not. The distinction between solids and fluid is not entirely obvious. The distinction is made by evaluating the viscosity of the substance. Silly Putty can be considered to behave like a solid or a fluid, depending on the time period over which it is observed. It is best described as a viscoelastic fluid. There are many examples of substances proving difficult to classify. A particularly interesting one is pitch, as demonstrated in the pitch drop experiment currently running at the University of Queensland.

Physics[link]

Fluids display properties such as:

• not resisting deformation, or resisting it only lightly (viscosity), and
• the ability to flow (also described as the ability to take on the shape of the container).This also means that all fluids have the property of fluidity.

These properties are typically a function of their inability to support a shear stress in static equilibrium.

Solids can be subjected to shear stresses, and to normal stresses—both compressive and tensile. In contrast, ideal fluids can only be subjected to normal, compressive stress which is called pressure. Real fluids display viscosity and so are capable of being subjected to low levels of shear stress.

Modelling[link]

In a solid, shear stress is a function of strain, but in a fluid, shear stress is a function of strain rate. A consequence of this behavior is Pascal's law which describes the role of pressure in characterizing a fluid's state.

Depending on the relationship between shear stress, and the rate of strain and its derivatives, fluids can be characterized as one of the following:

• Newtonian fluids : where stress is directly proportional to rate of strain

• Non-Newtonian fluids : where stress is not proportional to rate of strain, its higher powers and derivatives.

The behavior of fluids can be described by the Navier–Stokes equations—a set of partial differential equations which are based on:

• continuity (conservation of mass),
• conservation of linear momentum,
• conservation of angular momentum,
• conservation of energy.

The study of fluids is fluid mechanics, which is subdivided into fluid dynamics and fluid statics depending on whether the fluid is in motion.

See also[link]

• Matter
• Liquid
• Gas

References[link]

• Bird, Byron; Stewart, Warren & Lightfoot, Edward (2007). Transport Phenomena. New York: Wiley, Second Edition. pp. 912. ISBN 0-471-41077-2. 

This biographical article needs additional citations for verification. Please help by adding reliable sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately, especially if potentially libelous or harmful. (September 2010)

Donaldson Toussaint L'Ouverture Byrd II, (born December 9, 1932) is an American jazz and rhythm and blues trumpeter. A sideman for many other jazz musicians of his generation, Byrd is best known as one of the only bebop jazz musicians who successfully pioneered the funk and soul genres while simultaneously remaining a pop artist.

In 1973, he created The Blackbyrds, a fusion group consisting of his best students. They scored several major hits including "Happy Music" (#3 R&B, #19 pop), "Walking In Rhythm" (#4 R&B, #6 pop) and "Rock Creek Park".

Biography[link]

Byrd attended Cass Technical High School. He performed with Lionel Hampton before finishing high school. After playing in a military band during a term in the United States Air Force, he obtained a bachelor's degree in music from Wayne State University and a master's degree from Manhattan School of Music.

While still at the Manhattan School, he joined Art Blakey's Jazz Messengers, as replacement for Clifford Brown. In 1955, he recorded with Jackie McLean and Mal Waldron. After leaving the Jazz Messengers in 1956, he performed with many leading jazz musicians of the day, including John Coltrane, Sonny Rollins, Thelonious Monk, and later Herbie Hancock.

Byrd's first regular group was a quintet that he co-led from 1958-61 with baritone saxophonist Pepper Adams, an ensemble whose hard driving performances are captured "live" on At the Half Note Cafe. In June 1964, Byrd jammed with jazz legend Eric Dolphy in Paris just two weeks before Dolphy's death from insulin shock.

In the 1970s, Byrd moved away from the hard-bop jazz idiom and began to record jazz fusion and rhythm and blues. He teamed up with the Mizell Brothers (producer-writers Larry and Fonce) for Black Byrd in 1972. It was highly successful and became Blue Note Records' highest-ever selling album. The title track climbed to #19 on Billboard's R&B chart and reached the Hot 100 pop chart, peaking at #88. The Mizell brothers' follow-up albums for Byrd, Street Lady, Places and Spaces and Steppin' Into Tomorrow were also big sellers, and have subsequently provided a rich source of samples for acid jazz artists such as Us3. Most of the material for the albums was written by Larry Mizell.

In 1994, Byrd appeared on the Red Hot Organization's compilation album, Stolen Moments: Red Hot + Cool. The album, meant to raise awareness and funds in support of the AIDS epidemic in relation to the African American community, was heralded as "Album of the Year" by Time Magazine.

He has taught music at Rutgers University, the Hampton Institute, New York University, Howard University, Queens College, Oberlin College, Cornell University and Delaware State University.

In addition to his master's from Manhattan School of Music, Byrd has two master's degrees from Columbia University. He received a law degree in 1976, and his doctorate from Columbia University Teachers College in 1982.

In September 2009, he was named an artist-in-residence at Delaware State University.^[1] Byrd lives in Teaneck, New Jersey.^[2]

Discography[link]

As leader[link]

• Byrd's Eye View (1955), Transitions
• Byrd Blows on Beacon Hill (1956), Transitions
• Off to the Races (1958), Blue Note
• Byrd in Hand (1959), Blue Note
• Fuego (1959), Blue Note
• Byrd in Flight (1960), Blue Note
• At the Half Note Cafe (1960), Blue Note
• Motor City Scene - with Pepper Adams (1960), Bethlehem
• Chant (1961), Blue Note
• The Cat Walk (1961), Blue Note
• Royal Flush (1961), Blue Note
• Free Form (1961), Blue Note
• A New Perspective (1963), Blue Note
• Up with Donald Byrd (1964), Verve
• I'm Tryin' to Get Home (1964), Blue Note
• Mustang! (1966), Blue Note
• Blackjack (1967), Blue Note
• Slow Drag (1967), Blue Note
• The Creeper (1967), Blue Note
• Fancy Free (1969) Blue Note
• Electric Byrd (1969–70), Blue Note
• Kofi (1969), Blue Note
• Ethiopian Knights (1971), Blue Note
• Black Byrd (1972), Blue Note
• Street Lady (1973), Blue Note
• Stepping into Tomorrow (1974), Blue Note
• Places and Spaces (1975), Blue Note
• Caricatures (1976), Blue Note
• Thank You... for F.U.M.L. (Funking Up My Life) (1978), Elektra
• Love Byrd (1981), Elektra
• Words, Sounds, Colors and Shapes (1983) Landmark
• Harlem Blues (1987), Landmark
• Getting Down to Business (1989), Landmark
• A City Called Heaven (1991), Landmark
• Touchstone (2000)
• The Transition Sessions (2002)

As sideman[link]

• 1955 Kenny Clarke - Bohemia After Dark
• 1955 Cannonball Adderley - Discoveries
• 1955 Oscar Pettiford - Another One
• 1955 Hank Jones - Quartet-Quintet
• 1955 Hank Jones - Bluebird - one track only
• 1955 Ernie Wilkins - Top Brass
• 1956 George Wallington - Jazz for the Carriage Trade
• 1956 Jackie McLean - Lights Out!
• 1956 Hank Mobley - The Jazz Message of Hank Mobley
• 1956 Kenny Clarke - Klook's Clique
• 1956 Art Blakey - The Jazz Messengers
• 1956 Rita Reys - The Cool Voice of Rita Reys
• 1956 Elmo Hope - Informal Jazz
• 1956 Phil Woods - Pairing Off
• 1956 Jackie McLean - 4, 5 and 6
• 1956 Gene Ammons - Jammin' with Gene
• 1956 Horace Silver - Silver's Blue
• 1956 Hank Mobley - Mobley's Message
• 1956 Hank Mobley - Jazz Message #2
• 1956 Art Farmer - 2 Trumpets
• 1956 Paul Chambers - Whims of Chambers
• 1956 Phil Woods/Donald Byrd - The Young Bloods
• 1956 Horace Silver - 6 Pieces of Silver
• 1956 Hank Mobley - Hank Mobley Sextet
• 1956 Doug Watkins - Watkins at Large
• 1956 Sonny Rollins - Sonny Rollins, Vol. 1
• 1956 Kenny Burrell - All Night Long
• 1957 Kenny Burrell - All Day Long
• 1957 Gigi Gryce/Donald Byrd - Jazz Lab
• 1957 Art Farmer/Donald Byrd/Idrees Sulieman - Three Trumpets
• 1957 Lou Donaldson - Wailing with Lou
• 1957 Jimmy Smith - A Date with Jimmy Smith Volume One
• 1957 Art Taylor - Taylor Wailer's
• 1957 Gigi Gryce - Gigi Gryce and The Jazz Lab Quintet
• 1957 George Wallington - The New York Scene
• 1957 Various Artists - American Jazzmen Play Andre Hodeir's Essais
• 1957 Kenny Burrell/Jimmy Raney - 2 Guitars
• 1957 Kenny Drew - This is New
• 1957 Hank Mobley - Hank
• 1957 Paul Chambers - Paul Chambers Quintet
• 1957 The Gigi Gryce/Donald Byrd Jazz Lab - At Newport - One side of LP which also features Cecil Taylor
• 1957 Gigi Gryce/Donald Byrd - New Formulas from the Jazz Lab
• 1957 Gigi Gryce/Donald Byrd - Modern Jazz Perspective
• 1957 Sonny Clark - Sonny's Crib
• 1957 John Jenkins - Star Eyes
• 1957 Oscar Pettiford - Winner's Circle
• 1957 George Wallington - Jazz at Hotchkiss
• 1957 Red Garland - All Mornin' Long
• 1957 Red Garland - Soul Junction
• 1957 Red Garland - High Pressure
• 1957 Lou Donaldson - Lou Takes Off
• 1958 John Coltrane - Lush Life - one track only
• 1958 John Coltrane - The Believer - two tracks
• 1958 John Coltrane - The Last Trane - two tracks
• 1958 Johnny Griffin - Johnny Griffin Sextet
• 1958 Pepper Adams - 10 to 4 at the 5 Spot
• 1958 John Coltrane - Black Pearls
• 1958 Michel Legrand - Legrand Jazz
• 1958 Dizzy Reece - Blues in Trinity
• 1958 Art Blakey - Holiday for Skins
• 1958 Jim Timmens - Gilbert and Sullivan Revisited
• 1959 Jackie McLean - Jackie's Bag
• 1959 Thelonious Monk - The Thelonious Monk Orchestra at Town Hall
• 1959 Chris Connor - Ballads of the Sad Cafe
• 1959 Sonny Clark - My Conception
• 1959 Manny Albam/Teo Macero - Something New, Something Blue
• 1959 Jackie McLean - Vertigo
• 1959 Jackie McLean - New Soil
• 1959 Walter Davis Jr. - Davis Cup
• 1961 Pepper Adams - Out of This World
• 1962 Duke Pearson - Hush!
• 1963 Hank Mobley - No Room for Squares
• 1963 Hank Mobley - Straight No Filter - released 1986
• 1963 Hank Mobley - The Turnaround
• 1963 Jimmy Heath - Swamp Seed
• 1963 Herbie Hancock - My Point of View
• 1964 Dexter Gordon - One Flight Up
• 1964 Cal Tjader - Soul Sauce
• 1964 Solomon Ilori - African High Life
• 1964 Duke Pearson - Wahoo!
• 1965 Dexter Gordon - Ladybird
• 1965 Wes Montgomery - Goin' Out of My Head
• 1967 Stanley Turrentine - A Bluish Bag
• 1967 Sam Rivers - Dimensions & Extensions
• 1967 Hank Mobley - Far Away Lands
• 1977 Gene Harris - Tone Tantrum
• 1978 Sonny Rollins - Don't Stop the Carnival
• 1993 Guru - Jazzmatazz, Vol. 1
• 1995 Guru - Guru's Jazzmatazz, Vol. 2: The New Reality
• 1995 Ahmad Jamal - Big Byrd: The Essence Part 2

References[link]

External links[link]

• Donald Byrd at Allmusic
• Donald Byrd Discogs entry
• Donald Byrd discography at jazzdisco.org