Heat transport by laminar boundary layer flow with polymers

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 equ...

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Bibliographic Details
Published in:Journal of fluid mechanics 2012-04, Vol.696, p.330-344
Main Authors: Benzi, Roberto, Ching, Emily S. C., Chu, Vivien W. S.
Format: Article
Language:English
Subjects:
Boundary layers
Computational fluid dynamics
Convection and heat transfer
Equivalence
Exact sciences and technology
Fluid dynamics
Forced convection
Fundamental areas of phenomenology (including applications)
Heat transport
Laminar boundary layer
Laminar boundary layers
Laminar flows
Mathematical analysis
Non-newtonian fluid flows
Physics
Polymers
Transport
Turbulent flows, convection, and heat transfer
Viscosity
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Summary: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.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2012.46