The temperature field of a hollow cylinder for small fourier number

An approximate solution is given for the problem of the temperature distribution in an infinite hollow cylinder at small Fourier numbers.     

Spatial fractionation of paramagnetic particles precipitating in a high-gradient magnetic field of a short magnetized cylinder

The motion of dia- and paramagnetic particles precipitating in a liquid near a vertical magnetized cylinder of finite length in a plane transverse to the direction of magnetization has been studied, the phenomenon of spatial separation of paramagnetic particles by the value of magnetic susceptibility is described, and a comparison of the efficiency of separation of paramagnetic particles in the fields of a short cylinder and a sphere has been carried out.     

Effect of axial heat flux on the temperature field of a hollow cylinder

Solutions are given for two-dimensional problems of heat conduction in a hollow cylinder with quasi-steady heating (constant heating rate) for a boundary condition of the second kind at the inner surface of the cylinder, and boundary conditions of the third or first kind at the outer surface. The effect of axial heat flux on the temperature field of the hollow cylinder is estimated.     

Temperature field in a hollow finite-length cylinder with an arbitrarily moving heat source

An analytical solution is obtained to the problem of heating a hollow cylinder from an arbitrary heat source. The asymptotic of the characteristic equation is derived and the eigen-values of the corresponding Sturm-Liouville equation are tabulated.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 22, No. 3, pp.537–543, March, 1972.     

The temperature field in a hollow cylinder due to a source moving along a helix

We solve the problem of the temperature distribution in a hollow cylinder due to a source moving along a helix on the outer surface with boundary conditions of the second kind. The solution can be used to calculate temperature fields on a computer for various forms of processing materials.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 20, No. 1, pp. 154–156, January, 1971.     

Mathematical simulation of temperature field in a hollow rotating cylinder with nonlinear boundary conditions

An analytical solution is obtained of the nonlinear problem on heat conduction in a hollow infinite cylinder in view of the temperature dependence of its thermophysical characteristics. Results are given of calculations of temperature field for the roll of machine for continuous casting of slabs.     

Flexural vibration of a pyrocomposite hollow cylinder

Flexural vibration of an infinite pyrocomposite circular hollow cylinder composed of an inner and outer pyroelectric layer of class 6 bonded together by a linear elastic material with voids (LEMV) is studied. The exact frequency equation is obtained for traction-free surfaces with continuity conditions at the interfaces. Numerical results in the form of data and dispersion curves for the first and second modes of the flexural vibration of the cylinder ceramic-1/Adhesive/ceramic-2 by taking the adherents as BaTio₃ and the adhesive as an existing carbon fibre-reinforced polymer (CFRP) or as a hypothetical LEMV layer with and without voids are compared with that of a single-layered pyroelectric hollow cylinder. The damping is analyzed through the imaginary parts of the complex frequencies.     

Natural frequencies of a poroelastic hollow cylinder

Summary Employing Biot's theory for wave propagation in a porous solid, the frequency equation for radial vibrations of a poroelastic cylinder is obtained. The frequency equation has been derived in the form of a determinant involving Bessel functions. The roots of the frequency equation give the values of the characteristic circular frequency parameters of the first four modes for various geometries. These roots, which correspond to various modes, are numerically calculated and presented graphically. The results indicate that the effects of porosity are very pronounced.     

Dia- and paramagnetophoresis of microparticles near a short magnetized cylinder

The motion of dia- and paramagnetic microparticles near a short magnetized cylinder and the conditions of registration and of spatial separation of diamagnetic particles by the value of magnetic susceptibility have been studied.     

Temperature distribution in a rotating hollow cylinder

The temperature distribution in a hollow cylinder rotating with a given angular velocity is found for steady-state boundary conditions of the first kind.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 37, No. 4, pp. 705–711, October, 1979.     

Dynamic problem of thermoelasticity for a hollow cylinder

We consider a dynamic problem of thermoelasticity for a hollow cylinder in which we assume the heat propagation speed to be finite.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol.21, No. 1, pp. 145–151, July, 1971.     

Edge cracks in a transversely isotropic hollow cylinder

The analytical solution for the linear elastic, axisymmetric problem of inner and outer edge cracks in a transversely isotropic infinitely long hollow cylinder is considered. The z = 0 plane on which the crack lies is a plane of symmetry. The loading is uniform crack surface pressure. The mixed boundary value problem is reduced to a singular integral equation where the unknown is the derivative of the crack surface displacement. An asymptotic analysis is done to derive the generalized Cauchy kernel associated with edge cracks. It is shown that the stress intensity factor is a function of three material parameters. The singular integral equation is solved numerically. Stress intensity factors are presented for various values of material and geometric parameters.     

Acoustical multipole source in a hollow fluid-filled cylinder

The propagation of elastic waves generated by an impulse multipole source in a hollow fluid-filled cylinder was studied. The general solution of the problem is illustrated by calculations for monopole and dipole sources applied in geophysical and geoecological measurement practice. The analysis of the outer boundary influence on the waveforms registered by receivers located in the fluid was performed. The estimation has been carried out to determine a cylinder wall thickness under which its influence on cinematic parameters of the waveforms can be neglected.     

Penetration of circular vortices into a superconducting hollow cylinder

The Gibbs free energy circular vortices for an ideal type II superconducting hollow cylinder with a cylindrically symmetric applied field is calculated in the London approximation. The physical analysis of the results indicates the presence of a special kind of Bean-Livingstone barriers, as well as other features related to the symmetry of the system.     

Magnetoelastodynamic stress and perturbation of magnetic field vector in an orthotropic laminated hollow cylinder

An analytical method is presented to solve magneto-elastic wave propagation and perturbation of the magnetic field vector in an orthotropic laminated hollow cylinder with arbitrary thickness. The magnetoelastodynamic equation for each separate orthotropic hollow cylinder is solved by making use of finite Hankel transforms and Laplace transforms. The unknown constants involved in the solution for each separate layer are determined by using the interface continuity conditions between layers and the boundary conditions at the internal and external boundaries of the laminated hollow cylinders. Thus, an exact solution for magnetoelastodynamic stresses and perturbation response of an axial magnetic field vector in laminated hollow cylinder is obtained. From sample numerical calculations, it is seen that the present method is suitable to solve magnetoelastodynamic problems of laminated hollow cylinders subjected to a radial shock load and an axial magnetic field.     

A plane dynamic axisymmetric problem for a hollow cylinder

A dynamic problem for an elastic hollow cylinder whose surfaces are subjected to the action of arbitrary forces is solved by a new method based on the use of finite differences only with respect to time [12]. The numerical analyses of the time dependences of stress concentration are carried out for hollow cylinders of different thickness under impact loading. The proposed method is tested by solving a problem of circular hole in an infinite body subjected to the action of impact loads over the entire surface. __________ Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 44, No. 1, pp. 7–13, January–February, 2008.