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

doi:10.1007/s10483-016-2072-8

Abstract

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

2010 MSC Number:

T. HAYAT, M. IMTIAZ, A. ALSAEDI. Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet. Applied Mathematics and Mechanics (English Edition), 2016, 37(5): 573-582.

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