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Unsteady unidirectional flows of second grade fluids in domains with heated boundaries. (English) Zbl 0837.76004

Summary: The thermal convection of a second grade fluid is studied within the context of unidirectional flows. Stokes’ first problem in finite and infinite domains as well as pulsating Poiseuille flow in a pipe are analyzed. Due to the special nature of the flow, both the balance of linear momentum and the energy equation can be solved exactly.

MSC:

76A05 Non-Newtonian fluids
80A20 Heat and mass transfer, heat flow (MSC2010)
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