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

dc.creatorPantokratoras, Asterios
dc.date2007-03-02
dc.date.accessioned2026-07-07T07:49:55Z
dc.date.available2026-07-07T07:49:55Z
dc.descriptionIn 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.
dc.descriptionComment on S. Bechtel, M. Cai, F. Rooney and Q. Wang [Physics of Fluids, 2004, Vol. 16, pp. 3955-3974]
dc.identifierhttps://arxiv.org/abs/physics/0703017
dc.identifierhttp://arxiv.org/abs/physics/0703017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125000
dc.subjectFluid Dynamics
dc.titleComment on "Investigation of simplified thermal expansion models for compressible Newtonian fluids applied to nonisothernal plane Couette and Poiseuille flows" by S. Bechtel et al
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