Journal
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 37, Issue 5, Pages 573-582Publisher
SHANGHAI UNIV
DOI: 10.1007/s10483-016-2072-8
Keywords
Oldroyd-B fluid; homotopy analysis method (HAM); exponentially stretching sheet
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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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