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Three-dimensional rotating flow induced by a shrinking sheet for suction

Author

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  • Hayat, T.
  • Abbas, Z.
  • Javed, T.
  • Sajid, M.

Abstract

Series solution of magnetohydrodynamic (MHD) and rotating flow over a porous shrinking sheet is obtained by a homotopy analysis method (HAM). The viscous fluid is electrically conducting in the presence of a uniform applied magnetic field and the induced magnetic field is neglected for small magnetic Reynolds number. Similarity solutions of coupled non-linear ordinary differential equations resulting from the momentum equation are obtained. Convergence of the obtained solutions is ensured by the proper choice of auxiliary parameter. Graphs are sketched and discussed for various emerging parameters on the velocity field. The variations of the wall shear stress f″(0) and −g′(0) are also tabulated and analyzed.

Suggested Citation

  • Hayat, T. & Abbas, Z. & Javed, T. & Sajid, M., 2009. "Three-dimensional rotating flow induced by a shrinking sheet for suction," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1615-1626.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1615-1626
    DOI: 10.1016/j.chaos.2007.06.045
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    References listed on IDEAS

    as
    1. Abbasbandy, S., 2009. "Solitary wave solutions to the modified form of Camassa–Holm equation by means of the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 428-435.
    2. Sajid, M. & Hayat, T., 2009. "The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1317-1323.
    3. 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.
    4. Wu, Wan & Liao, Shi-Jun, 2005. "Solving solitary waves with discontinuity by means of the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 177-185.
    5. Tan, Yue & Xu, Hang & Liao, Shi-Jun, 2007. "Explicit series solution of travelling waves with a front of Fisher equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 462-472.
    6. Hayat, T. & Abbas, Z., 2008. "Heat transfer analysis on the MHD flow of a second grade fluid in a channel with porous medium," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 556-567.
    7. Liu, Yinping & Li, Zhibin, 2009. "The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 1-8.
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