Abstract
This article presents the combined effects of melting heat transfer and linear stratification of not only the heat energy, but also stratified concentration on the motion of an electrically conducting fluid over an object with a non-uniform thickness. Owing to the melting heat transfer and stretching of fluid layers at the free stream, the case of mixed convection is considered to be more appropriate than neither free nor forced convection. Consequently, the energy and concentration equations which model the flow and satisfy the free stream conditions are presented. Suitable thermophoresis model and Boussinesq approximation for the case \(T_m(x)<T_\infty (x)\) and \(C_m(x)<C_\infty (x)\) were adopted. A suitable similarity transformation is applied to reduce the governing equations to coupled ordinary differential equations. These equations along with the boundary conditions were solved numerically using Runge–Kutta technique along with shooting technique. Maximum variations in the local skin friction coefficients \(Re_{x}^{1/2}C_{fx}\) with thermal stratification occur at larger values of temperature-dependent viscosity parameter. Temperature distribution, local skin friction coefficients \(Re_{x}^{1/2}C_{fx}\) and mass transfer rate \(S_{hx}Re_{x}^{-1/2}\) are decreasing properties of thermal stratification and thermophoresis parameter.
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Acknowledgements
The authors would like to appreciate the support of the Editor-in-Chief, all the reviewers of BMSE-D-17-01017, BMSE-D-17-01593, and BMSE-D-18-01535 for their valuable comments and useful suggestions. Also, the authors would like to express their gratitude to King Khalid University, Abha 61413, Saudi Arabia, for providing administrative and technical support.
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Animasaun, I.L., Makinde, O.D. & Saleem, S. Mixed convection flow of Newtonian fluids over an upper horizontal thermally stratified melting surface of a paraboloid of revolution. J Braz. Soc. Mech. Sci. Eng. 41, 197 (2019). https://doi.org/10.1007/s40430-019-1698-7
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DOI: https://doi.org/10.1007/s40430-019-1698-7