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Applied Mathematics and Mechanics

, Volume 37, Issue 5, pp 573–582 | Cite as

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

  • T. Hayat
  • M. ImtiazEmail author
  • A. Alsaedi
Article

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.

Key words

Oldroyd-B fluid homotopy analysis method (HAM) exponentially stretching sheet 

Chinese Library Classification

O357.4 

2010 Mathematics Subject Classification

76A05 76E06 76N20 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of MathematicsQuaid-i-Azam UniversityIslamabadPakistan
  2. 2.Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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