An exact solution is given for the steady flow of a Newtonian fluid occupying the halfspace past the plane z=0 uniformly rotating about a fixed normal axis (≡Oz). This solution is obtained in a velocity field of the form considered by Berker [2] and can be deduced as a limiting case, as h→+∞, of the solution to the problem relative to the strip 0≤z≤h imposing at z=h either the adherence boundary conditions or the free surface conditions. Furthermore, the stability of this flow, subject to periodic disturbances of finite amplitude, is studied using the energy method and the result is compared with those corresponding to stability of flows in the strip 0≤z≤h. © 1991 Kluwer Academic Publishers.
On flow and stability of a Newtonian fluid past a rotating plane
PATRIA, Maria Cristina
1991
Abstract
An exact solution is given for the steady flow of a Newtonian fluid occupying the halfspace past the plane z=0 uniformly rotating about a fixed normal axis (≡Oz). This solution is obtained in a velocity field of the form considered by Berker [2] and can be deduced as a limiting case, as h→+∞, of the solution to the problem relative to the strip 0≤z≤h imposing at z=h either the adherence boundary conditions or the free surface conditions. Furthermore, the stability of this flow, subject to periodic disturbances of finite amplitude, is studied using the energy method and the result is compared with those corresponding to stability of flows in the strip 0≤z≤h. © 1991 Kluwer Academic Publishers.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
