Heat transport by laminar boundary layer flow with polymers

Details Heat transport by laminar boundary layer flow with polymers Heat transport by laminar boundary layer flow with polymers

2011-04-23

arxiv.org/abs/1104.4526v1

Nonlinear Sciences

Chaotic Dynamics

7 pages, 8 figures, 1 table

Scientific paper

Motivated by recent experimental observations, we consider a steady-state Prandtl-Blasius boundary layer flow with polymers above a slightly heated horizontal 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 an enhancement in the drag, which in turn leads to a reduction in heat transport.

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