Study of the pressure distribution along a concentric annular channel

A study of an isothermal rarefied gas flow through a long concentric annular channel is carried out. The solution is based on the linearized BGK model with diffuse boundary conditions and it is valid in the whole range of the rarefaction parameter. The pressure distribution along the channel is obtained and investigated depending on the values of the pressure maintained at the channel ends.

BENDING AND FREE OSCILLATIONS OF THE VISCOELASTIC TOROIDAL SHELL, T AL SHELL, TAKING IN AKING INTO ACCOUNT THE RHEOL T THE RHEOLOGICAL PROPERTIES OF THE MATERIAL

The bending of a viscoelastic toroidal shell with diffuse boundary conditions is considered in this work. The relationship between stress and strain is described by the Aviary equations. Based on the principle of calculus of variations, equations of the dynamics of the toroidal shell are obtained. It is assumed that the movement along the normal to the median surface, along the tangents to circular sections and along the shell is not previously imposed any restrictions. As result of the calculation, It was found that shell vibrations occur at higher frequencies than rod vibrations (m)