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STABILITY OF THE TWIRLED FLOW IN THE CYLINDRICAL CHANNEL
Aktershev S.P., Kuybin P.A.
Institute of Thermophysics SB RAS, Novosibirsk, Russia
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Citation:
Aktershev, S.P. and Kuybin, P.A., (2012) Stability of the twirled flow in the cylindrical channel, Modern Science: Researches, Ideas, Results, Technologies, Iss. #2(10), PP. 79 - 84.
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Keywords:twirled flow; stability; method of solving |
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Abstracts:
The new method of the solution of a problem of stability of the twirled flow of viscous incompressible liquid is developed. The method based on decomposition of functions abreast on extents of the radial coordinate, allows to avoid the difficulties connected with a numerical integration of system of the differential equations with singular point. As example the stability of Poiseuille flow in a rotating pipe is studied |
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References:
Akhmetov V.K., Shkadov V.Ya. Numerical modeling of viscous vortex flows for technical applications. - M.: Publ. House of the Association of Civil Engineering High Schools, 2009. - 176 p. Pedley T.J. On the instability of rapidly rotating shear flows to non-axisymmetric disturbances // J. Fluid Mech. - 1968. - Vol. 31. - P. 603 - 607. Pedley T.J. On the instability of viscous flow in a rapidly rotating pipe // J. Fluid Mech. -1969. - Vol. 35. - P. 97 - 115. Maslowe S.A. Instability of rigidly rotating flows to non-axisymmetric disturbances // J. Fluid Mech. -1974. - Vol. 64. - P. 307-317. Mackrodt P.A. Stability of Hagen-Poiseuille flow with superimposed rigid rotation // J. Fluid Mech. - 1976. - Vol. 73 - No. 1. - P. 153-164. Fernandez-Feria R., Pino С. The onset of absolute instability of rotating HagenPoiseuille flow: A spatial stability analysis // Phys. Fluids. -2002. - Vol. 14. - P. 3087-3097.
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