Abstract
The effective thermal conductivity of a dilute suspension of slightly deformed droplets is calculated in the limit of small particle Peclet number for the undisturbed bulk shear, u = γy, and the linear bulk temperature distribution, T = αy. Two distinct cases of small deformation are considered; deformation dominated by interfacial tension forces, and deformation dominated by viscous forces in the drop. The results show that the presence of deformation can cause a fundamental change in form of the dominant, flow-induced contribution to the effective conductivity.
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