Flow of a dual-temperature plasma in the channel of a disk-magnetohydrodynamic generator,taking account of nonequilibrium ionization and recombination reactions

The establishment of a supersonic one-dimensional flow of a dual-temperature, partially ionized plasma is investigated in the channel of a disk-MHD generator, taking account of nonequilibrium ionization and recombination reactions. A detailed formulation of the problem is given in [1]; flows are considered in the absence of ionization and recombination reactions and in the case of equilibrium reactions.Moscow. Translated from Izvestiya Akademii Nauk SSSR. Mekhanika Zhidkosti i Gaza, No. 6, pp. 135–142, November–December, 1972.     

Fountain viscous fluid flow during filling a channel when taking dissipative warming into account

Fountain viscous fluid flow arising during filling a plane channel is investigated. A finite-difference method is used to solve the problem of time-dependent nonisothermal flow taking mechanical energy dissipation, temperature dependence of the viscosity, and the presence of a free boundary into account. The results of parametric investigations of kinematic flow characteristics as functions of dimensionless constitutive criteria are given.     

Interaction of a transient cylindrical acoustic wave with a multimode cylindrical piezoelectric transducer

The interaction between a transient cylindrical acoustic wave and a cylindrical piezoelectric transducer with sectioned electrodes is considered. The solution is obtained using the integral Laplace transform with respect to time (in the form of natural-mode series). In going to the space of originals, the problem is reduced to integral Volterra equations. The results of calculation are presented for various angular dimensions of the electrode sections and various distances from the wave source to the piezoelectric transducer. Translated from Prikladnaya Mekhanika, Vol. 35, No. 10, pp. 37–45, October, 1999.     

Nonsteady deformation of a cylindrical shell with a hole under a transient load

Institute of Mechanics, Ukrainian Academy of Sciences, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 29, No. 9, pp. 84–91, September, 1993.     

Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia

The vibration problem of a viscoelastic cylindrical shell is studied in a geometrically nonlinear formulation using the refined Timoshenko theory. The problem is solved by the Bubnov–Galerkin procedure combined with a numerical method based on quadrature formulas. The choice of relaxation kernels is substantiated for solving dynamic problems of viscoelastic systems. The numerical convergence of the Bubnov–Galerkin procedure is examined. The effect of viscoelastic properties of the material on the response of the cylindrical shell is discussed. The results obtained by various theories are compared.