0
2013
Impact Factor

    Evolution of three-dimensional picture of disturbances imposed on a rotational-axial flow in a cylindrical clearance

    2014, Vol. 10, No. 3, pp.  345-354

    Author(s): Georgievsky D. V.

    This work deals with stability relative to three-dimensional disturbances of a compound rotationalaxial shear flow of Newtonian viscous fluid inside a cylindrical clearance. The corresponding linearized problem on stability is stated with the sticking conditions. On the basis of the integral relation method permitting to obtain sufficient estimates of stability as well as lower estimates for critical Reynolds numbers, the general upper estimate of real part of a spectral parameter (responding to stability) is derived. This estimate is defined more exactly for cases of both threedimensional axially symmetric disturbances and two-dimensional non-axially symmetric ones.
    Keywords: Newtonian fluid, cylindrical clearance, shear flow, rotation, the integral relation method, quadratic functional, variational inequality, stability, critical Reynolds number
    Citation: Georgievsky D. V., Evolution of three-dimensional picture of disturbances imposed on a rotational-axial flow in a cylindrical clearance, Rus. J. Nonlin. Dyn., 2014, Vol. 10, No. 3, pp.  345-354
    DOI:10.20537/nd1403008


    Download File
    PDF, 328.66 Kb




    Creative Commons License
    This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License