Vibrations of a gas-filled spherical cavity in pseudoplastic and dilatant liquids

Questions of the dynamics of bubbles in a liquid are connected with problems of cavitation [1]. In connection with cavitation phenomena in non-Newtonian media, in particular in polymeric liquids [2, 3], a study is made of the pulsations of a bubble in a polymeric liquid with an exponential rheological law. The equation of the motion of the boundary of the gas cavity is integrated numerically; here, the cases of pseudo-plastic and dilatant liquids are discussed separately. The results obtained can be used in the analysis of acoustical cavitation in aqueous solutions of polymers.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 146–148, January–February, 1975.