Law of the wall, the Glossary
In fluid dynamics, the law of the wall (also known as the logarithmic law of the wall) states that the average velocity of a turbulent flow at a certain point is proportional to the logarithm of the distance from that point to the "wall", or the boundary of the fluid region.[1]
Table of Contents
22 relations: Aerospace engineering, Barry Arthur Cipra, Density, Dimensionless quantity, Direct numerical simulation, Fluid, Fluid dynamics, Laminar sublayer, Lie group, Mathematician, Natural logarithm, Physicist, Reynolds number, Reynolds-averaged Navier–Stokes equations, Self-similarity, Shear stress, Shear velocity, Theodore von Kármán, Turbulence kinetic energy, Velocity, Viscosity, Von Kármán constant.
Aerospace engineering
Aerospace engineering is the primary field of engineering concerned with the development of aircraft and spacecraft.
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Barry Arthur Cipra
Barry Arthur Cipra, an American mathematician and freelance writer, regularly contributes to ''Science'' magazine and SIAM News, a monthly publication of the Society for Industrial and Applied Mathematics.
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Density
Density (volumetric mass density or specific mass) is a substance's mass per unit of volume.
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Dimensionless quantity
Dimensionless quantities, or quantities of dimension one, are quantities implicitly defined in a manner that prevents their aggregation into units of measurement.
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Direct numerical simulation
A direct numerical simulation (DNS) is a simulation in computational fluid dynamics (CFD) in which the Navier–Stokes equations are numerically solved without any turbulence model. Law of the wall and direct numerical simulation are fluid dynamics.
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Fluid
In physics, a fluid is a liquid, gas, or other material that may continuously move and deform (flow) under an applied shear stress, or external force. Law of the wall and fluid are fluid dynamics.
Fluid dynamics
In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases.
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Laminar sublayer
The laminar sublayer, also called the viscous sublayer, is the region of a mainly-turbulent flow that is near a no-slip boundary and in which viscous shear stresses are important.
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Lie group
In mathematics, a Lie group (pronounced) is a group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable.
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
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Natural logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to.
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Physicist
A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe.
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Reynolds number
In fluid dynamics, the Reynolds number is a dimensionless quantity that helps predict fluid flow patterns in different situations by measuring the ratio between inertial and viscous forces. Law of the wall and Reynolds number are fluid dynamics.
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Reynolds-averaged Navier–Stokes equations
The Reynolds-averaged Navier–Stokes equations (RANS equations) are time-averaged equations of motion for fluid flow. Law of the wall and Reynolds-averaged Navier–Stokes equations are fluid dynamics.
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Self-similarity
In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts).
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Shear stress
Shear stress (often denoted by, Greek: tau) is the component of stress coplanar with a material cross section.
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Shear velocity
Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.
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Theodore von Kármán
Theodore von Kármán (szőllőskislaki) Kármán Tódor, May 11, 1881May 6, 1963), was a Hungarian-American mathematician, aerospace engineer, and physicist who worked in aeronautics and astronautics.
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Turbulence kinetic energy
In fluid dynamics, turbulence kinetic energy (TKE) is the mean kinetic energy per unit mass associated with eddies in turbulent flow.
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Velocity
Velocity is the speed in combination with the direction of motion of an object.
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Viscosity
The viscosity of a fluid is a measure of its resistance to deformation at a given rate. Law of the wall and viscosity are fluid dynamics.
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Von Kármán constant
In fluid dynamics, the von Kármán constant (or Kármán's constant), named for Theodore von Kármán, is a dimensionless constant involved in the logarithmic law describing the distribution of the longitudinal velocity in the wall-normal direction of a turbulent fluid flow near a boundary with a no-slip condition.
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References
[1] https://en.wikipedia.org/wiki/Law_of_the_wall
Also known as Logarithmic law of the wall, Universal Logarithmic Wall Law, Wall Law.