The effective thermal conductivity and elongational viscosity of a nondilute suspension of aligned slender rods
- 1 July 1988
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 31 (7) , 1841-1844
- https://doi.org/10.1063/1.866681
Abstract
The effective thermal conductivity and elongational viscosity of a nondilute suspension of infinitely conducting perfectly aligned slender rods of slenderness ratio ε≪1 are determined using an effective medium theory together with a self‐consistent scheme. The expressions thereby obtained cover the range in particle concentration c from infinite dilution c/ε2≪1, to the semidilute regime, c/ε2≫1, but c≪1. In the latter case, the present results agree to leading order with a formula derived by Batchelor [J. Fluid Mech. 4 6, 813 (1971)] even though the analyses employ physical arguments that appear to be quite distinct.Keywords
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