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Mathematical Problems in Engineering
Volume 2009, Article ID 232670, 15 pages
Research Article

Convection-Radiation Heat Transfer in a Nonlinear Fluid with Temperature-Dependent Viscosity

1U.S. Department of Energy, National Energy Technology Laboratory (NETL), P. O. Box 10940, Pittsburgh, PA 15236, USA
2Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, PA 15261, USA

Received 25 February 2009; Accepted 7 June 2009

Academic Editor: Kumbakonam R. Rajagopal

Copyright © 2009 Mehrdad Massoudi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We will study the fully developed flow of a generalized second-grade fluid down an inclined plane. The viscosity is not only a function of the shear rate (shear-thinning or shear-thickening) but also depends on the temperature in an exponential way. The effects of radiation boundary condition at the free surface are considered. The boundary value problem is solved numerically, and the velocity and temperature profiles are obtained for various dimensionless numbers.