Comment on "Investigation of simplified thermal expansion models for compressible Newtonian fluids applied to nonisothernal plane Couette and Poiseuille flows" by S. Bechtel et al

Details Comment on "Investigation of simplified thermal expansion models for compressible Newtonian fluids applied to nonisothernal plane Couette and Poiseuille flows" by S. Bechtel et al Comment on "Investigation of simplified thermal expansion models for compressible Newtonian fluids applied to nonisothernal plane Couette and Poiseuille flows" by S. Bechtel et al

2007-03-02

arxiv.org/abs/physics/0703017v1

Physics

Fluid Dynamics

Comment on S. Bechtel, M. Cai, F. Rooney and Q. Wang [Physics of Fluids, 2004, Vol. 16, pp. 3955-3974]

Scientific paper

In the above paper by Bechtel, Cai, Rooney and Wang, Physics of Fluids, 2004, 16, 3955-3974 six different theories of a Newtonian viscous fluid are investigated and compared, namely, the theory of a compressible Newtonian fluid, and five constitutive limits of this theory: the incompressible theory, the limit where density changes only due to changes in temperature, the limit where density changes only with changes in entropy, the limit where pressure is a function only of temperature, and the limit of pressure a function only of entropy. The six theories are compared through their ability to model two test problems: (i) steady flow between moving parallel isothermal planes separated by a fixed distance with no pressure gradient in the flow direction (Couette flow), and (ii) steady flow between stationary isothermal parallel planes with a pressure gradient (Poiseuille flow). The authors found, among other, that the incompressible theory admits solutions to these problems of the plane Couette/Poiseuille flow form: a single nonzero velocity component in a direction parallel to the bounding planes, and velocity and temperature varying only in the direction perpendicular to the planes.

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