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MHD (magneto-hydrodynamic) flow and radiative nonlinear heat transfer of a viscoelastic fluid over a stretching sheet with heat generation/absorption

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  • Cortell, Rafael

Abstract

The steady, laminar boundary layer flow and heat transfer with radiation effects using the nonlinear Rosseland approximation induced in a quiescent, electrically conducting, visco-elastic fluid by a permeable surface stretched with velocity uw(x) = ax + cx2 in the presence of a transverse magnetic field with heat source/sink are investigated. The problem only admits local-similarity results for a nonlinear stretched boundary surface with constant temperature (i.e., T = Twaty = 0 (Tw constant)). Two classes of visco-elastic fluid are considered, namely, the second-grade and Walters' liquid B fluids. A previously developed analytical solution for this flow, first used in Ref. [49], has been extended to analyze radiative nonlinear heat transfer. The effects of a transverse magnetic field, visco-elasticity, internal heat generation/absorption, suction/injection at the sheet, Prandtl number, power-law sheet velocity and thermal radiation onto heat transfer characteristics are widely analyzed. The results for the velocity and temperature field are presented through tables and graphs and discussed.

Suggested Citation

  • Cortell, Rafael, 2014. "MHD (magneto-hydrodynamic) flow and radiative nonlinear heat transfer of a viscoelastic fluid over a stretching sheet with heat generation/absorption," Energy, Elsevier, vol. 74(C), pages 896-905.
    • Handle: RePEc:eee:energy:v:74:y:2014:i:c:p:896-905
    DOI: 10.1016/j.energy.2014.07.069
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    Cited by:

    1. Pal, Dulal & Mandal, Gopinath & Vajravalu, Kuppalapalle, 2016. "Soret and Dufour effects on MHD convective–radiative heat and mass transfer of nanofluids over a vertical non-linear stretching/shrinking sheet," Applied Mathematics and Computation, Elsevier, vol. 287, pages 184-200.
    2. Salahuddin, T. & Siddique, Nazim & Arshad, Maryam, 2020. "Insight into the dynamics of the Non-Newtonian Casson fluid on a horizontal object with variable thickness," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 211-231.
    3. Hsiao, Kai-Long, 2017. "To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method," Energy, Elsevier, vol. 130(C), pages 486-499.

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