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Exact solutions for thin film flow of a third grade fluid down an inclined plane

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  • Hayat, T.
  • Ellahi, R.
  • Mahomed, F.M.

Abstract

We present exact solutions of the thin film flow problem for a third grade fluid on an inclined plane. The velocity field satisfies a nonlinear second-order ordinary differential equation (ODE). This governing ODE was derived in Siddiqui et al. [Siddiqui AM, Mahmood A, Ghori QK. Homotopy perturbation for thin film flow of a third grade fluid down an inclined plane. Chaos, Solitons & Fractals; 2006 [on line]] wherein the velocity field was solved by perturbation and homotopy perturbation approaches. We compare our results with those of Siddiqui et al. (2006). Our solutions are valid for large values of the material parameter as well.

Suggested Citation

  • Hayat, T. & Ellahi, R. & Mahomed, F.M., 2008. "Exact solutions for thin film flow of a third grade fluid down an inclined plane," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1336-1341.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:5:p:1336-1341
    DOI: 10.1016/j.chaos.2008.03.006
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