THE DILATANCY CAUSED BY SHEARING MOTION

The disruption of molecular packing caused by shear motion in a fluid depends not only on the velocity gradient in the pertinent region but also on how fast the molecules in the given material respond to any change in this gradient. So the author has replaced this gradient with the dilatancy, introducing it into the formula for dE, where E is the specific internal energy. Then combining the known relationship between the rate at which the shearing can relax, the author has derived a relationship between the dilatancy and the corresponding steady state rate of shear. Measurements of the dilatancy in a fluid undergoing a known rate of shear can then yield a value for the relaxation time. A similar treatment of heat flow yields a relationship between the dilatancy and the corresponding steady-state temperature gradient.