The paper deals with a steady coupled dissipative layer, called Marangoni mixed convection boundary layer, which can be formed along the interface of two immiscible fluids, in surface driven flows. The mixed convection boundary layer is generated besides the Marangoni convection effects induced flow over the surface due to an imposed temperature gradient, there are also buoyancy effects due to gravity and external pressure gradient effects. We shall use a model proposed by Chamkha wherein the Marangoni coupling condition has been included into the boundary conditions at the interface. The similarity equations are first determined, and the approximate analytical solutions are obtained by an efficient transformation, asymptotic expansion and Pade´ approximant technique. The features of the flow and temperature fields as well as the interface velocity and heat transfer at the interface are discussed for some values of the governing parameters. The associated fluid mechanics was analyzed in detail.
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2010 14th International Heat Transfer Conference
August 8–13, 2010
Washington, DC, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-4937-8
PROCEEDINGS PAPER
Approximate Analytical Solutions for Marangoni Mixed Convection Boundary Layer
Yan Zhang,
Yan Zhang
Beijing Institute of Civil Engineering and Architecture; University of Science and Technology Beijing, Beijing, China
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Liancun Zheng,
Liancun Zheng
University of Science and Technology Beijing, Beijing, China
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Jiemin Liu
Jiemin Liu
University of Science and Technology Beijing, Beijing, China
Search for other works by this author on:
Yan Zhang
Beijing Institute of Civil Engineering and Architecture; University of Science and Technology Beijing, Beijing, China
Liancun Zheng
University of Science and Technology Beijing, Beijing, China
Jiemin Liu
University of Science and Technology Beijing, Beijing, China
Paper No:
IHTC14-22330, pp. 413-417; 5 pages
Published Online:
March 1, 2011
Citation
Zhang, Y, Zheng, L, & Liu, J. "Approximate Analytical Solutions for Marangoni Mixed Convection Boundary Layer." Proceedings of the 2010 14th International Heat Transfer Conference. 2010 14th International Heat Transfer Conference, Volume 2. Washington, DC, USA. August 8–13, 2010. pp. 413-417. ASME. https://doi.org/10.1115/IHTC14-22330
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