A pseudosimilarity approach to a steady free convection flow

Abstract

In this communication we deal with the exact solutions called "pseudosimilarity" of a steady free convection problem studied by by Kumaran and Pop (2006). They showed that there is no similarity solution for the case of a wall temperature as Tw(x) x-1/2 (resp. a wall heat flux as qw(x) x-3/2, and a dimensionless heat transfer coefficient hw(x) x-1). We shall present some results about existence and asymptotic behaviour of new exact solutions of the resulting boundary value problem for each case.

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