The flow of a variable viscosity fluid between parallel plates with shear heating |
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| Authors: | TG Myers JPF CharpinMS Tshehla |
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| Institution: | Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa |
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| Abstract: | A model for the flow of a fluid through a channel with parallel plates is investigated. The channel is narrow, so that the lubrication approximation may be applied. The channel walls are maintained at a constant temperature. Shear heating effects are included and the fluid viscosity decreases exponentially with temperature. When the flow is driven solely by shear stress or imposed velocity at the top, analytical progress is possible. When pressure gradient also drives the flow the problem is solved numerically. |
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| Keywords: | Lubrication theory Non-Newtonian flow Temperature dependent viscosity Shear heating |
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