Abstract
The aim of the present study is to investigate the combined effects of the thermal radiation, viscous dissipation, suction/injection and internal heat generation/absorption on the boundary layer flow of a non-Newtonian power law fluid over a semi infinite permeable flat plate moving in parallel or reversely to a free stream. The resulting system of partial differential equations (PDEs) is first transformed into a system of coupled nonlinear ordinary differential equations (ODEs) which are then solved numerically by using the shooting technique. It is found that the dual solutions exist when the flat plate and the free stream move in the opposite directions. Dimensionless boundary layer velocity and temperature distributions are plotted and discussed for various values of the emerging physical parameters. Finally, the tables of the relevant boundary derivatives are presented for some values of the governing physical parameters.
Highlights
IntroductionREThe pioneering work on the boundary layer flow of a viscous incompressible fluid over a stationary flat plate with uniform fluid velocity was due to Blasius [1] in 1908
Different from the Blasius flow problem, the problem of boundary layer flow and heat transfer over a continuous flat plate moving in parallel or reversely to the free stream was discussed by a number of researchers [7,8,9,10] and reported that the dual solutions exist in the case when the plate and the free stream move in the opposite directions
We first present a table for the skin friction coefficient [ f 00 (0)]n for the power law fluid for various values of the governing parameters and furnish a comparison table for the local Nusselt number −θ 0 (0) with the existing literature followed by the discussion on the graphs of the boundary layer velocity and temperature to highlight the effects of various emerging physical parameters
Summary
REThe pioneering work on the boundary layer flow of a viscous incompressible fluid over a stationary flat plate with uniform fluid velocity was due to Blasius [1] in 1908. Different from the Blasius flow problem, the problem of boundary layer flow and heat transfer over a continuous flat plate moving in parallel or reversely to the free stream was discussed by a number of researchers [7,8,9,10] and reported that the dual solutions exist in the case when the plate and the free stream move in the opposite directions. The mathematical analysis of the dual solutions of the boundary layer flow over the moving surfaces has a practical impact in the engineering scenario. Weidman et al [11] established that the upper branch or the first solution is stable and physically more meaningful than the lower branch or the second solution, which highlights some interesting mathematical features of the differential equations
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