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Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet

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Abstract

The present paper investigates the steady flow of an Oldroyd-B fluid. The fluid flow is induced by an exponentially stretched surface. Suitable transformations reduce a system of nonlinear partial differential equations to a system of ordinary differential equations. Convergence of series solution is discussed explicitly by a homotopy analysis method (HAM). Velocity, temperature and heat transfer rates are examined for different involved parameters through graphs. It is revealed that for a larger retardation time constant, the velocity is enhanced and the temperature is lowered. It is noted that relaxation time constant and the Prandtl number enhance the heat transfer rate.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    T. Hayat & M. Imtiaz

  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

Authors
  1. T. Hayat
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  2. M. Imtiaz
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  3. A. Alsaedi
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Correspondence to M. Imtiaz.

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Hayat, T., Imtiaz, M. & Alsaedi, A. Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet. Appl. Math. Mech.-Engl. Ed. 37, 573–582 (2016). https://doi.org/10.1007/s10483-016-2072-8

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  • DOI: https://doi.org/10.1007/s10483-016-2072-8

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Chinese Library Classification

2010 Mathematics Subject Classification

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