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Energy conversion under conjugate conduction, magneto-convection, diffusion and nonlinear radiation over a non-linearly stretching sheet with slip and multiple convective boundary conditions

Uddin, MJ; Beg, A; Uddin, MN

Energy conversion under conjugate conduction, magneto-convection, diffusion and nonlinear radiation over a non-linearly stretching sheet with slip and multiple convective boundary conditions Thumbnail


Authors

MJ Uddin

MN Uddin



Abstract

Energy conversion under conduction, convection, diffusion and radiation has been studied for MHD free convection heat transfer of a steady laminar boundary-layer flow past a moving permeable non-linearly extrusion stretching sheet. The nonlinear Rosseland thermal radiation flux model, velocity slip, thermal and mass convective boundary conditions are considered to obtain a model with fundamental applications to real world energy systems. The Navier slip, thermal and mass convective boundary conditions are taken into account. Similarity differential equations with corresponding boundary conditions for the flow problem, are derived, using a scaling group of transformation. The transformed model is shown to be controlled by magnetic field, conduction-convection, convection-diffusion, suction/injection, radiation-conduction, temperature ratio, Prandtl number, Lewis number, buoyancy ratio and velocity slip parameters. The transformed non-dimensional boundary value problem comprises a system of nonlinear ordinary differential equations and physically realistic boundary conditions, and is solved numerically using the efficient Runge-Kutta-Fehlberg fourth fifth order numerical method, available in Maple17 symbolic software. Validation of results is achieved with previous simulations available in the published literature. The obtained results are displayed both in graphical and tabular form to exhibit the effect of the controlling parameters on the dimensionless velocity, temperature and concentration distributions. The current study has applications in high temperature materials processing utilizing magnetohydrodynamics, improved performance of MHD energy generator wall flows and also magnetic-microscale fluid devices.

Citation

Uddin, M., Beg, A., & Uddin, M. (2016). Energy conversion under conjugate conduction, magneto-convection, diffusion and nonlinear radiation over a non-linearly stretching sheet with slip and multiple convective boundary conditions. Energy, 115(Part 1), 1119-1129. https://doi.org/10.1016/j.energy.2016.05.063

Journal Article Type Article
Acceptance Date May 17, 2016
Online Publication Date Nov 8, 2016
Publication Date Nov 1, 2016
Deposit Date Jun 6, 2016
Publicly Available Date Nov 8, 2017
Journal Energy
Print ISSN 0360-5442
Publisher Elsevier
Volume 115
Issue Part 1
Pages 1119-1129
DOI https://doi.org/10.1016/j.energy.2016.05.063
Publisher URL http://dx.doi.org/10.1016/j.energy.2016.05.063
Related Public URLs http://www.journals.elsevier.com/energy/

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