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Stagnation‐Point Flow toward a Vertical, Nonlinearly Stretching Sheet with Prescribed Surface Heat Flux

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  • Sin Wei Wong
  • M. A. Omar Awang
  • Anuar Ishak

Abstract

An analysis is carried out to study the steady two‐dimensional stagnation‐point flow of an incompressible viscous fluid towards a stretching vertical sheet. It is assumed that the sheet is stretched nonlinearly, with prescribed surface heat flux. This problem is governed by three parameters: buoyancy, velocity exponent, and velocity ratio. Both assisting and opposing buoyant flows are considered. The governing partial differential equations are transformed into a system of ordinary differential equations and solved numerically by finite difference Keller‐box method. The flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Dual solutions are found in the opposing buoyant flows, while the solution is unique for the assisting buoyant flows.

Suggested Citation

  • Sin Wei Wong & M. A. Omar Awang & Anuar Ishak, 2013. "Stagnation‐Point Flow toward a Vertical, Nonlinearly Stretching Sheet with Prescribed Surface Heat Flux," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:528717
    DOI: 10.1155/2013/528717
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    References listed on IDEAS

    as
    1. Ishak, Anuar & Jafar, Khamisah & Nazar, Roslinda & Pop, Ioan, 2009. "MHD stagnation point flow towards a stretching sheet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3377-3383.
    2. Hayat, T. & Abbas, Z. & Sajid, M., 2009. "MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 840-848.
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