New analytical solution of MHD fluid flow of fourth grade fluid through the channel with slip condition via collocation method
نویسنده
چکیده
In this study, an analysis has been performed to study the problem of fully developed flow of a fourth grade nonNewtonian fluid between two stationary parallel plates in the presence of an externally applied uniform vertical magnetic field. Slip conditions is taken into account at the wall of the channel. Employing the similarity variables, the governing partial differential equations including continuity and momentum have been reduced to ordinary ones and Collocation Method (CM) has been used to solve the non-linear ordinary differential equation with robin mixed boundary conditions. The influence of the some physical parameters such as the Slip parameter, Non newtonian parameter and magnetic field parameter on non-dimensional velocity profiles is considered. Also the results reveal that the CM can be used for solving nonlinear differential equations with Robin mixed condition easily. MSC: Code 1 • Code 2
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