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Applied Mathematics & Information Sciences

Author Country (or Countries)

Egypt

Abstract

In this paper, the heat transfer mechanism to the non-Newtonian micropolar slip fluid flow over a stretching sheet in the presence of the melting heat transfer with heat generation(absorption) have been studied. With appropriate dimensionless transformations, the boundary layer equations governing the physical problem are reduced to a system of non-linear ordinary differential equations valid in the melting regime. Solutions of the system are obtained by employing the Chebyshev spectral method. Numerical solutions are obtained for different values of the material parameter, slip parameter, heat generation(absorption) parameter, local Eckret number, melting parameter, microrotation parameter and thermal conductivity parameter. From this solutions we find that, the velocity increases with the increase of the material parameter, local Eckret number and melting parameter the opposite is true as slip parameter and heat generation(absorption) parameter. Also, the angular velocity increases with the increase of heat generation(absorption) parameter and microrotation parameter, while it decreases as the material parameter, slip parameter and local Eckret number. The temperature increases as the material parameter increases but it decreases as slip parameter, heat generation(absorption) parameter, local Eckret number, melting parameter and thermal conductivity parameter. Finally, the values of the surface shear stress, the wall couple stress and the local Nusselt number are introduced tabularly.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160104

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