| Abstract: | A study is made of the periodic (in time) auto-oscillatory regime (cycle) of azimuthal wave type which branches from a stationary nonisothermal Couette flow between rotating cylinders. Yudovich's method 1, 2] is used. It is shown that the cycle is unique (up to a shift along the axis z of the cylinders and rotation through any angle ) and stable against spatially periodic three-dimensional perturbations. The results are given of a numerical calculation of the first two terms in the expansion of the cycle in Lyapunov-Schmidt series. The torque acting on the surface of the inner cylinder is calculated.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 25–32, May–June, 1981.I thank V. I. Yudovich for constant interest in the work. |
