A pseudosimilarity approach to a steady free convection flow

Details A pseudosimilarity approach to a steady free convection flow A pseudosimilarity approach to a steady free convection flow

2008-02-13

arxiv.org/abs/0802.1897v1

Physics

Classical Physics

Scientific paper

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 $T_{w}(x)\sim x^{-{1/2}}$ (resp. a wall heat flux as $q_{w}(x)\sim x^{-{3/2}},$ and a dimensionless heat transfer coefficient $h_{w}(x)\sim x^{-1}$). 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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