Parallel shear flows of fluids with a temperature dependent viscosity |
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Authors: | Michael Renardy |
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Affiliation: | (1) Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0123, USA |
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Abstract: | We investigate whether parallel shear flows of an incompressible Newtonian fluid with a viscosity which depends linearly on temperature is possible in situations where the temperature changes along the flow direction. It is shown that parallel flow is possible only in planar or axisymmetric geometries. These two situations are investigated further. For either a plane channel or a circular pipe, we show that the temperature variation in the flow direction must be exponential.Received: December 16, 2003; revised: October 11, 2004 |
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Keywords: | 76D99 |
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