Shear motions of elastic fluids for a given tangential stress

Stationary and nonstationary modes of elastic fluid motion for a given constant strain rate =const were studied under simple shear conditions, theoretically in [1, 2] as compared with experiment; time dependences of the normal and tangential stresses were examined for the emergence into stationary flow and their relaxation from steady flow. These results permitted a study of the relaxation characteristics of elastic fluids. However, no less interesting are the lagging (retardation) effects in elastic fluids, which can be studied in modes giving the shear stress ₁₂(). In this paper, the two most widespread shear modes in practice are examined theoretically and experimentally for a given ₁₂: the mode of arrival at the stationary flow from the state of rest for ₁₂=const and the mode of retardation (elastic recovery) from stationary flow. Theoretical computations are performed on a model describing large elastic strains. The experiment was performed on a concentrated polymer solution. Quantitative correspondence between theory and experiment is obtained.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 9–13, July–August, 1976.