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MHD Carreau Fluid Flow Past a Melting Surface with Cattaneo-Christov Heat Flux

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Abstract

In this article, we presented simultaneous solutions for magnetohydrodynamic Cattaneo-Christov flow of Carreau fluid over a variable thickness melting surface. Firstly, proper transformations are considered to convert the basic flow equations as ODE. The solution of these ODEs is obtained by the consecutive application of shooting and R.K. fourth-order methods. Graphs are plotted with the assistance of MATLAB package to emphasize the impact of various physical parameters on the flow fields. Further, the rate of heat transfer and friction factor are also intended and depicted with the help of a table. Results indicate that fluid velocity has inverse relationship with melting and magnetic field parameters. Also the nonuniform heat source/sink parameters play a key role in heat transfer performance.

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Correspondence to V. Sugunamma .

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Anantha Kumar, K., Ramana Reddy, J.V., Sugunamma, V., Sandeep, N. (2019). MHD Carreau Fluid Flow Past a Melting Surface with Cattaneo-Christov Heat Flux. In: Rushi Kumar, B., Sivaraj, R., Prasad, B., Nalliah, M., Reddy, A. (eds) Applied Mathematics and Scientific Computing. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01123-9_32

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