KINETIC ENERGY OF INCOMPRESSIBLE MICROSTRETCH FLUID IN A DOMAIN BOUNDED BY RIGID WALLS

Abstract

e T(t) s T(tJ exp [-o(t-to)] basic physical quantities of microstretch flow are the velocity vector (q), the microrotation vector (4 and the microstretch (u). the last quantity being a scalar field signifying the stretch or contraction experienced by the local fluid element. The kinetic energy T of the flow over a domain has contributions T,, T,, Ts one from each of the above three quantities 4, ir, and v. It is shown that Sgn (dT/dt) = -1 and that for 0 c to c t. The (positive) number (+ depends on the material constants of the flow and also on the geometry of the domain.