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In this paper we present a mathematical analysis for a steady-state laminar boundary layer flow, governed by the Ostwald-de Wael power-law model of an incompressible non-Newtonian fluid past a semi-infinite power-law stretched flat plate with uniform free stream velocity. A generalization of the usual Blasius similarity transformation is used to find… (More)
In this paper we consider the problem of a steady MHD flow of a non-Newtonian power-law and electrically conducting fluid in presence of an applied magnetic field. The boundary layer equations are solved in similarity form via the Lyapunov energy method, we show that this problem has an infinite number of positive global solutions.
In this paper we present approximate analytical solution of a time-fractional Zakharov-Kuznetsov equation via the fractional iteration method. The fractional derivatives are described in the Caputo sense. The approximate results show that the fractional iteration method is a very efficient technique to handle fractional partial differential equations.
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… (More)
Articles you may be interested in Modeling and numerical simulation of a harpsichord Modeling and numerical simulation of a piano. Sample path properties of fractional Riesz–Bessel field of variable order Abstract. This paper is concerned with the numerical solutions of a variable-order space-time fractional reaction-diffusion model. The space-time… (More)