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MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface

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

Abstract

The present analysis comprises the steady two-dimensional magnetohydrodynamic flow of an upper-convected Maxwell fluid near a stagnation-point over a stretching surface. The governing non-linear partial differential equation for the flow are reduced to an ordinary differential equation by using similarity transformations. The analytic solution of nonlinear system is constructed in the series form using Homotopy analysis method. Convergence of the obtained series is discussed explicitly. The effects of the sundry parameters on the velocity profile is shown through graphs. The values of skin-friction coefficient for different parameters is tabulated.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:840-848
    DOI: 10.1016/j.chaos.2007.01.067
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    References listed on IDEAS

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    1. Song-Ping Zhu, 2006. "An exact and explicit solution for the valuation of American put options," Quantitative Finance, Taylor & Francis Journals, vol. 6(3), pages 229-242.
    2. 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.
    3. 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.
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    Cited by:

    1. 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.
    2. Syed M. Hussain & Rohit Sharma & Manas R. Mishra & Sattam S. Alrashidy, 2020. "Hydromagnetic Dissipative and Radiative Graphene Maxwell Nanofluid Flow Past a Stretched Sheet-Numerical and Statistical Analysis," Mathematics, MDPI, vol. 8(11), pages 1-16, November.
    3. Waqas, M. & Khan, M. Ijaz & Hayat, T. & Gulzar, M. Mudassar & Alsaedi, A., 2020. "Transportation of radiative energy in viscoelastic nanofluid considering buoyancy forces and convective conditions," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

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