Abstract
A steady-state plane channel flow of viscous incompressible fluid with no-slip and heat transfer boundary conditions is considered. The flow is induced by a fixed pressure difference and the fluid viscosity depends on the temperature in accordance with a power law. It is shown numerically that the dependence of the Peclet number on the nondimensional pressure difference is not single-valued. An investigation of the solution’s dependence on the Biot number shows that for Biot numbers greater than unity the velocity profile has a point of inflection.
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Additional information
Perm’. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 75–80, March–April, 2000.
The work received financial support from the Russian Foundation for Basic Research (project N97-01-00063).
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Aristov, S.N., Zelenina, V.G. Effect of heat transfer on the plane-channel poiseuille flow of a thermo-viscous fluid. Fluid Dyn 35, 217–221 (2000). https://doi.org/10.1007/BF02831429
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DOI: https://doi.org/10.1007/BF02831429