A pseudosimilarity approach to a steady free convection flow

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 $T_w(x)\sim x^{-1\mathrm{/}2}$ (resp. a wall heat flux as $q_w(x)\sim x^{-3\mathrm{/}2},$ 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.