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Final Period of Decay for a Viscoelastic Fluid in Isotropic Turbulence
Author(s) -
Chow P. L.,
Saibel E.
Publication year - 1969
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19690490702
Subject(s) - turbulence , isotropy , physics , newtonian fluid , viscoelasticity , mechanics , homogeneous isotropic turbulence , classical mechanics , non newtonian fluid , thermodynamics , direct numerical simulation , optics , reynolds number
The 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.