The Poiseuille Flow in a Pipe with Temperature Dependent Viscosity and Prescribed Flow Rate |
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| Authors: | Giovanni Cimatti |
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| Affiliation: | 1. Dipartimento di Matematica, Largo Bruno Pontecorvo 5, Pisa, Italy
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| Abstract: | This note studies the stationary Poiseuille flow in a cylindrical channel of arbitrary cross-section with temperature dependent viscosity and internal dissipation. We assume the flow-rate given and we treat the axial pressure gradient as an unknown. Theorems of existence and uniqueness are proved using a special transformation. |
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