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Zbl 1102.76003
Hayat, T.; Ellahi, R.; Asghar, S.
The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: an analytical solution. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 12, No. 3, 300-313 (2007). ISSN 1007-5704

Summary: An analytical solution for the flow of a third-grade fluid in a pipe is obtained using homotopy analysis method. The fluid considered is with variable space-dependent viscosity. The temperature of the pipe is taken to be higher than the temperature of the fluid. Expressions for velocity and temperature profiles are constructed analytically and explained with the help of graphs.

MSC 2000:: *76A05 Non-Newtonian fluids
76M45 Asymptotic methods, singular perturbations
80A20 Heat and mass transfer

Keywords: velocity profile; temperature profile; homotopy analysis method

Cited in: Zbl 1221.76015

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Zentralblatt MATH Berlin [Germany]