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Thermophysics and Aeromechanics

2013 year, number 3

Stability of axisymmetric swirl flows of viscous incompressible fluid

S.P. Aktershev and P.A. Kuibin
Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia
Keywords: incompressible fluid, axisymmetric swirl flow, stability, method of solution
Pages: 317–326

Abstract

A new method of solution to the problem of stability of the swirl flow of viscous incompressi-ble fluid is developed. The method based on expansion of the required function into power series of radial coordinate allows an avoidance of difficulties related to numerical integration of the system of differential equations with a singular point. Stability of the Poiseuille flow in a rotating pipe is considered as an example.