Eur. Phys. J. B 11, 287-292 (1999)
https://doi.org/10.1007/s100510050939

Shear-driven heat flow in absence of a temperature gradient

Department of Physics, University of the Witwatersrand, Johannesburg 2050, South Africa

Corresponding author: ^a kathie@physnet.phys.wits.ac.za

Received: 10 September 1998
Published online: 15 September 1999

Abstract

Jaynesian statistical inference is used to predict that steady, non-uniform Couette flow in a simple liquid will generate a heat flux proportional to the gradient of the square of the strain-rate when the temperature gradient is negligible. The heat flux is divided into phonon and self-diffusion components, with the latter coupling to the elastic strain and inelastic strain-rate. Operators for all these are substituted into the information-theoretic phase-space distribution. By taking moments of an exact equation for this distribution derived by Robertson, one obtains an evolution equation for the self-diffusion component of the heat flux which, in a steady state, predicts shear-driven heat flow.