Journal
MECCANICA
Volume 47, Issue 6, Pages 1313-1323Publisher
SPRINGER
DOI: 10.1007/s11012-011-9515-0
Keywords
Non-Newtonian fluid; Heat transfer; Homotopy analysis method
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The similarity transform for the steady free convection boundary layer flow of a non-Newtonian fluid (Casson model) with variable wall temperature on a horizontal plate gives a system of nonlinear ordinary differential equations which is solved analytically by applying a newly developed method namely the homotopy analysis method (HAM). The velocity and temperature profiles are obtained and the influence of Prandtl number and various physical parameters of the problem on these distributions are discussed in detail and are illustrated graphically through a set of graphs. The validity of our solutions is verified by the numerical results.
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