Newtonian fluid: Difference between revisions
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[[Category:Fluid dynamics]] |
[[Category:Fluid dynamics]] |
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A '''Newtonian fluid''' is a [[fluid]] in which [[shear stress]] is proportional to the [[velocity]] [[gradient]], [[perpendicular]] to the plane of shear. The constant of proportionality is known as the [[viscosity]]. If the fluid is [[compressible flow|incompressible]], |
A '''Newtonian fluid''' is a [[fluid]] in which [[shear stress]] is proportional to the [[velocity]] [[gradient]], [[perpendicular]] to the plane of shear. The constant of proportionality is known as the [[viscosity]]. If the fluid is [[compressible flow|incompressible]] and viscosity is constant across the fluid, |
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:<math>\tau = \mu \frac {\partial u} {\partial y}. </math> |
:<math>\tau = \mu \frac {\partial u} {\partial y}. </math> |
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Revision as of 13:03, 10 September 2004
A Newtonian fluid is a fluid in which shear stress is proportional to the velocity gradient, perpendicular to the plane of shear. The constant of proportionality is known as the viscosity. If the fluid is incompressible and viscosity is constant across the fluid,
The motion of Newtonian fluids is described by the Navier-Stokes equations.
See also: Non-Newtonian fluid | Poiseuille's law | Viscosity