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Magnetohydrodynamic boundary-layer flow for a non-Newtonian fluid past a wedge

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Abstract

The flow of a power law fluid past a symmetrical wedge is studied in the neighbourhood of the stagnation point when an external magnetic field is applied. The nonlinear equation of motion is transformed to a similarity differential equation which is solved using the method of successive approximations. The analytical solutions found by this method yield numerical values in good agreement with tabulated calculations obtained before via numerical methods for electrically nonconducting fluids. Analytical expressions are derived for both the velocity profile and the local non-dimensional skin friction coefficient. Also the three thicknesses of displacement, momentum and kinetic energy are given in closed forms.

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References

  • Ames, W. F.: 1972,Nonlinear Partial Differential Equation in Engineering, Academic Press, London, pp. 87–123.

    Google Scholar 

  • Cobble, M. H.: 1977,J. Eng. Math. 11, 249.

    Google Scholar 

  • Cobble, M. H.: 1980,J. Eng. Math. 14, 47.

    Google Scholar 

  • Hansen, A. G.: 1964,Similarity Analysis of Boundary Value Problems in Engineering, Prentice Hall Inc., Englewood Cliffs, New Jersey.

    Google Scholar 

  • Lykoudis, P. S.: 1959, inProceedings of the Heat Transfer and Fluid Mechanics Institute, pp. 176–184.

  • Roy, P. R.: 1980,Indian J. Pure Appl. Math. 11, 1540.

    Google Scholar 

  • Schlichting, H.: 1968,Boundary-Layer Theory, McGraw-Hill Inc., New York.

    Google Scholar 

  • Schowalter, R. W.: 1960,Am. Inst. Chem. Eng. J. 6, 24.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Banha University, Egypt

    S. S. Elghabaty & G. M. Abdel-Rahman

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  1. S. S. Elghabaty
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  2. G. M. Abdel-Rahman
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Elghabaty, S.S., Abdel-Rahman, G.M. Magnetohydrodynamic boundary-layer flow for a non-Newtonian fluid past a wedge. Astrophys Space Sci 141, 9–19 (1988). https://doi.org/10.1007/BF00641911

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  • DOI: https://doi.org/10.1007/BF00641911

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