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Non-similarity Solution of Micropolar Fluid Flow over a Truncated Cone with Soret and Viscous Dissipation Effects Using Spectral Quasilinearization Method

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Abstract

This paper is an investigation of viscous dissipation and Soret effects on laminar natural convection flow over a truncated cone immersed in a micropolar fluid with convective boundary condition. For this complex fluid flow problem, the similarity solution does not exist and hence the non-similarity transformations are used to convert the governing fluid flow equations along with associated boundary conditions into a set of non-dimensional form. Due to several advantages of spectral methods over the finite difference and finite element methods, the spectral quasi-linearization method is employed to solve the system of non-similar, coupled, partial differential equations. The numerical results point out that, in the presence and absence of Soret number, the Nusselt number, wall couple stress and Sherwood number decrease, but the temperature, concentration and skin friction increase with an increase of coupling parameter. As the Boit number enhances, the skin friction, Nusselt number and Sherwood number enhance but the wall couple stress reduces in the presence of viscous dissipation parameter.

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  1. Department of Mathematics, National Institute of Technology, Warangal, 506004, India

    Ch. RamReddy & T. Pradeepa

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  1. Ch. RamReddy
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  2. T. Pradeepa
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RamReddy, C., Pradeepa, T. Non-similarity Solution of Micropolar Fluid Flow over a Truncated Cone with Soret and Viscous Dissipation Effects Using Spectral Quasilinearization Method. Int. J. Appl. Comput. Math 3, 1763–1777 (2017). https://doi.org/10.1007/s40819-016-0227-y

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