Existence of turning points for the response diagram of the Poiseuille flow with prescribed flow-rate

Cimatti, Giovanni

doi:10.1090/S0033-569X-07-01058-1

Author: Giovanni Cimatti
Journal: Quart. Appl. Math. 65 (2007), 523-528
MSC (2000): Primary 76D03, 76D05
DOI: https://doi.org/10.1090/S0033-569X-07-01058-1
Published electronically: June 6, 2007
MathSciNet review: 2354885
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Abstract: We study the stationary Poiseuille flow in a cylindrical channel of arbitrary cross-section with temperature dependent viscosity and internal dissipation. We assume the flow-rate $\Phi$ given and the axial pressure gradient $\mu$ unknown. This leads to a non-local problem. We show the existence in the response diagram, the plane $(\Phi ,\mu )$, of two turning points.

References

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