Abstract
In many textbooks (Reif, 1965), the derivation of the shear viscosity of a gas by using elementary kinetic theory assumes the existence of a simple shear flow characterized by a linear velocity profile of a component of the flow velocity, say u x , along a normal direction, say the y-direction, while the density and the temperature remain spatially uniform (See Fig. 2.1). Implicit in those arguments and conditions is the assumption that the shear rate ∂u x /∂y is very small, and so the xy-element of the pressure tensor is just proportional to this shear rate.
Keywords
- Shear Rate
- Boltzmann Equation
- Direct Simulation Monte Carlo
- Velocity Distribution Function
- Pressure Tensor
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2003 Springer Science+Business Media Dordrecht
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Garzó, V., Santos, A. (2003). Solution of the Boltzmann Equation for Uniform Shear Flow. In: Kinetic Theory of Gases in Shear Flows. Fundamental Theories of Physics, vol 131. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0291-1_2
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DOI: https://doi.org/10.1007/978-94-017-0291-1_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6347-2
Online ISBN: 978-94-017-0291-1
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