Abstract

AbstractThe final period of decay of homogeneous isotropic turbulence of an Oldroyd type fluid is studied. Expressions are derived for the double correlation function and the decay of turbulent energy. In comparing the results with those of Batchelor and Townsend for a Newtonian fluid, it is found that the difference from the Newtonian counterpart is the presence of two additional terms involving speed and acceleration of evolution of turbulent energy at the initial instant. As in the Newtonian case the two point velocity correlation function is in normal form. The energy decays according to the (− 5/2) power laws but modified by elasticity effects.

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