Journal
JOURNAL OF FLUID MECHANICS
Volume 696, Issue -, Pages 330-344Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2012.46
Keywords
boundary layers; polymers
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Funding
- Hong Kong Research Grants Council [CUHK-400708]
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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.
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