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Heat transport by laminar boundary layer flow with polymers

Published online by Cambridge University Press:  28 February 2012

Roberto Benzi ,
Emily S. C. Ching  and
Vivien W. S. Chu
Roberto Benzi
Affiliation:
Dipartimento di Fisica and INFN, Università ‘Tor Vergata’, Via della Ricerca Scientifica 1, I-00133 Roma, Italy
Emily S. C. Ching*
Affiliation:
Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong Institute of Theoretical Physics, The Chinese University of Hong Kong, Shatin, Hong Kong
Vivien W. S. Chu
Affiliation:
Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong
*
†Email address for correspondence: ching@phy.cuhk.edu.hk
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Abstract

Motivated by recent experimental observations, we consider a steady-state boundary layer flow with polymers in forced convection above a heated plate and study how the heat transport might be affected by the polymers. We discuss how a set of equations can be derived for the problem and how these equations can be solved numerically by an iterative scheme. By carrying out such a scheme, we find that the effect of the polymers is equivalent to producing a space-dependent effective viscosity that first increases from the zero-shear value at the plate then decreases rapidly back to the zero-shear value far from the plate. We further show that such an effective viscosity leads to a decrease in the streamwise velocity near the plate, which in turn leads to a reduction in heat transport.

JFM classification

Boundary Layers: Boundary Layers Non-Newtonian Flows: Polymers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 696 , 10 April 2012 , pp. 330 - 344
Copyright
Copyright © Cambridge University Press 2012

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