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Numerical Solutions for the Lévêque Problem of Boundary Layer  Mass or Heat Flux

E. Holzbecher
Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany
Published in 2008

The Lévêque problem is an idealized simple situation concerning the influence of the boundary on the distribution of temperature or mass in Hagen-Poiseuille flow.

Here, the performance of numerical solutions is examined for a range of Péclet numbers, spanning 11 orders of magnitude. We examine the Sherwood, resp. Nusselt numbers and confirm the cubic square rule for high flow velocities. Moreover, we report on the effect of grid refinement and stabilization schemes.

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