Reflections on Brennerâ??s Bivelocity Fluid Mechanics

J.D. Goddard

Department of Mechanical and Aerospace Engineering

University of California, San Diego

Abstract

This is a brief review of the relation of Howard Brennerâ??s seminal and volu- minous work on bivelocity fluid mechanics to the general field of non-locality in strongly inhomogenous media. The main ideas are elaborated upon in a previous work [1], which acknowledges Brennerâ??s important contribution and shows how his theory may be viewed as part of a more general description of stress and heat flux in a weakly non-local fluid model.

[1] J. D. Goddard. On material velocities and non-locality in the thermo-mechanics of continua. Int. J. Eng. Sci. 48:1279-1288, 2010.