# 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.

## Key words

Oldroyd-B fluid homotopy analysis method (HAM) exponentially stretching sheet## Chinese Library Classification

O357.4## 2010 Mathematics Subject Classification

76A05 76E06 76N20## Preview

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