A pseudosimilarity approach to a steady free convection flow

Zakia Hammouch (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

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 $T_{w}(x)\sim x^{-\frac{1}{2}}$ (resp. a wall heat flux as $q_{w}(x)\sim x^{-\frac{3}{2}},$ 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.

Mots clés: Boundary layer; Free convection; Integral equation method; Porous medium; Pseudosimilarity

Domaines: Mécanique des fluides [physics.class-ph]

Zakia Hammouch. A pseudosimilarity approach to a steady free convection flow. 2007. ⟨hal-00255722⟩