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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

Author

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  • Uddin, Md. Jashim
  • Bég, O. Anwar
  • Uddin, Md. Nazir

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 Maple 17 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.

Suggested Citation

  • Uddin, Md. Jashim & Bég, O. Anwar & Uddin, Md. Nazir, 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, Elsevier, vol. 115(P1), pages 1119-1129.
    • Handle: RePEc:eee:energy:v:115:y:2016:i:p1:p:1119-1129
    DOI: 10.1016/j.energy.2016.05.063
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    References listed on IDEAS

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    1. Jang, Jiin-Yuh & Tsai, Ying-Chi & Wu, Chan-Wei, 2013. "A study of 3-D numerical simulation and comparison with experimental results on turbulent flow of venting flue gas using thermoelectric generator modules and plate fin heat sink," Energy, Elsevier, vol. 53(C), pages 270-281.
    2. Sertkaya, Ahmet Ali & Bilir, Şefik & Kargıcı, Suna, 2011. "Experimental investigation of the effects of orientation angle on heat transfer performance of pin-finned surfaces in natural convection," Energy, Elsevier, vol. 36(3), pages 1513-1517.
    3. Torabi, Mohsen & Aziz, Abdul & Zhang, Kaili, 2013. "A comparative study of longitudinal fins of rectangular, trapezoidal and concave parabolic profiles with multiple nonlinearities," Energy, Elsevier, vol. 51(C), pages 243-256.
    4. Hsiao, Kai-Long, 2013. "Energy conversion conjugate conduction–convection and radiation over non-linearly extrusion stretching sheet with physical multimedia effects," Energy, Elsevier, vol. 59(C), pages 494-502.
    5. Elshafei, E.A.M., 2010. "Natural convection heat transfer from a heat sink with hollow/perforated circular pin fins," Energy, Elsevier, vol. 35(7), pages 2870-2877.
    6. Mohammed J Uddin & Waqar A Khan & Ahmad Izani Md Ismail, 2015. "G-Jitter Induced Magnetohydrodynamics Flow of Nanofluid with Constant Convective Thermal and Solutal Boundary Conditions," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-15, May.
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