Mechanics

Stability of rotating circular cylindrical shell subject to an axial and rotational fluid flow

S. A. Bochkarev, V. P. Matveenko

Institute of Mechanics of Continua of Ural Branch of the Russian Academy of Sciences, Perm, 614013, Russian Federation

Abstract: This paper is concerned with the stability analysis of rotating cylindrical shells conveying a corotating fluid. The problem is solved by the finite element method for shells subjected to different boundary conditions. It has been found that the loss of stability for a rotating shell under the action of the fluid having both axial and circumferential velocity components depends on the type of boundary conditions imposed on the shell ends. The results of numerical calculations have shown that for different variants of boundary conditions a simultaneous rotation of shell and the fluid causes an increase or decrease in the critical velocity of axial fluid flow.

Keywords: classical theory of shells, rotating shell, compressible potential fluid with axial and circumferential flow, finite element method, stability.

UDC: 539.3+534.1

Received: 18.01.2012
Revised: 19.01.2012