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MHD Three Dimensional Darcy-Forchheimer Flow of a Nanofluid with Nonlinear Thermal Radiation

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Applied Mathematics and Scientific Computing

Part of the book series: Trends in Mathematics ((TM))

Abstract

The numerical analysis of 3D magnetohydrodynamic Darcy-Forchheimer nanofluid flow with nonlinear thermal radiation is explored. Utilizing suitable similarity transformations, the governing PDEs are transformed into nonlinear ODEs. The resulting equations are then solved numerically by the most robust shooting technique with RK method of fourth order. The effect of various parameters like radiation, temperature ratio, Forchheimer and porosity parameters on θ(η) and ϕ(η), skin friction coefficient, and rate of heat transfer is discussed graphically. It is observed that the heat transfer rate reduces and skin friction coefficient increases for the rise of F r and λ.

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Correspondence to P. V. Satya Narayana .

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Tarakaramu, N., Satya Narayana, P.V., Venkateswarlu, B. (2019). MHD Three Dimensional Darcy-Forchheimer Flow of a Nanofluid with Nonlinear Thermal Radiation. 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_10

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