Shear-driven heat flow in absence of a temperature gradient
Department of Physics, University of the Witwatersrand, Johannesburg 2050, South Africa
Corresponding author: a email@example.com
Published online: 15 September 1999
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.
PACS: 05.60.-k – Transport processes / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 66.60.+a – Thermal conduction in nonmetallic liquids
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999