Couette flow with frictional heating in a fluid with temperature and pressure dependent viscosity (Q632527)

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scientific article; zbMATH DE number 5870482
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Couette flow with frictional heating in a fluid with temperature and pressure dependent viscosity
scientific article; zbMATH DE number 5870482

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    Couette flow with frictional heating in a fluid with temperature and pressure dependent viscosity (English)
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    25 March 2011
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    The paper deals with the laminar flow in a horizontal channel. It concerns the fluid whose viscosity depends exponentially on the pressure and temperature. A perturbative approximation is proposed for the viscous dissipation term in the equation for the balance of energy. It is shown that this nonlinear term representing the frictional heating may lead to non-unique solutions.
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    viscous dissipation
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    temperature and pressure dependent viscosity
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    governing equations
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    perturbation procedure
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    laminar flow
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