Vector field which is used to mathematically describe the motion of a continuum
In continuum mechanics the flow velocity in fluid dynamics, also macroscopic velocity[1][2] in statistical mechanics, or drift velocity in electromagnetism, is a vector field used to mathematically describe the motion of a continuum. The length of the flow velocity vector is scalar, the flow speed.
It is also called velocity field; when evaluated along a line, it is called a velocity profile (as in, e.g., law of the wall).
^Duderstadt, James J.; Martin, William R. (1979). "Chapter 4:The derivation of continuum description from transport equations". In Wiley-Interscience Publications (ed.). Transport theory. New York. p. 218. ISBN 978-0471044925.{{cite book}}: CS1 maint: location missing publisher (link)
^Freidberg, Jeffrey P. (2008). "Chapter 10:A self-consistent two-fluid model". In Cambridge University Press (ed.). Plasma Physics and Fusion Energy (1 ed.). Cambridge. p. 225. ISBN 978-0521733175.{{cite book}}: CS1 maint: location missing publisher (link)
continuum mechanics the flowvelocity in fluid dynamics, also macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism, is...
involves the calculation of various properties of the fluid, such as flowvelocity, pressure, density, and temperature, as functions of space and time...
in particular fluid dynamics, the volumetric flow rate (also known as volume flow rate, or volume velocity) is the volume of fluid which passes per unit...
turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flowvelocity. It is in contrast to a laminar flow, which occurs when...
flow. Flow may be measured by measuring the velocity of fluid over a known area. For very large flows, tracer methods may be used to deduce the flow rate...
at the Fermi velocity, resulting in an average velocity of zero. Applying an electric field adds to this random motion a small net flow in one direction;...
flow (isochoric flow) refers to a flow in which the material density of each fluid parcel — an infinitesimal volume that moves with the flowvelocity...
dimensionless quantity in fluid dynamics representing the ratio of flowvelocity past a boundary to the local speed of sound. It is named after the Czech...
V ˙ {\displaystyle {\dot {V}}} or Q = volume flow rate, ρ = mass density of the fluid, v = flowvelocity of the mass elements, A = cross-sectional vector...
Choked flow is a compressible flow effect. The parameter that becomes "choked" or "limited" is the fluid velocity. Choked flow is a fluid dynamic condition...
edge of the flat plate, and the flowvelocity is the freestream velocity of the fluid outside the boundary layer. For flow in a pipe of diameter D, experimental...
the flow. Potential flow describes the velocity field as the gradient of a scalar function: the velocity potential. As a result, a potential flow is characterized...
called choked flow. As the nozzle cross-sectional area increases, the gas begins to expand, and the flow increases to supersonic velocities, where a sound...
A supercritical flow is a flow whose velocity is larger than the wave velocity.[clarification needed] The analogous condition in gas dynamics is supersonic...
Vortices are a major component of turbulent flow. The distribution of velocity, vorticity (the curl of the flowvelocity), as well as the concept of circulation...
types of flow may occur depending on the velocity and viscosity of the fluid: laminar flow or turbulent flow. Laminar flow occurs at lower velocities, below...
Pulse wave velocity (PWV) is the velocity at which the blood pressure pulse propagates through the circulatory system, usually an artery or a combined...
(pressure, temperature, adiabatic index), and a moving gas by four (flowvelocity), a hot gas in chemical equilibrium also requires state equations for...
condition (zero velocity at the wall). The flowvelocity then monotonically increases above the surface until it returns to the bulk flowvelocity. The thin...
open channel flows, Belanger 1828 introduced first the ratio of the flowvelocity to the square root of the gravity acceleration times the flow depth. When...
{\displaystyle u} the flowvelocity and y {\displaystyle y} the distance from the wall. It is used, for example, in the description of arterial blood flow, in which...
A velocity potential is a scalar potential used in potential flow theory. It was introduced by Joseph-Louis Lagrange in 1788. It is used in continuum...
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