A pseudosimilarity approach to a steady free convection flow

2008/02/13 by Zakia Hammouch, Hammouch, Zakia
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Classical Physics (physics.class-ph) #FOS: Physical sciences #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #physics.class-ph

paper · pdf · doi:10.48550/arxiv.0802.1897

arxiv created 2008/02/13 · openalex publication_date 2008/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 T_w(x)∼ x^-1/2 (resp. a wall heat flux as q_w(x)∼ x^-3/2, and a dimensionless heat transfer coefficient h_w(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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