Rear Separation in a Rotating Fluid at Moderate Taylor Numbers

Authors: S. Damodaran, T. V. S.Sekhar

Abstract:

The motion of a sphere moving along the axis of a rotating viscous fluid is studied at high Reynolds numbers and moderate values of Taylor number. The Higher Order Compact Scheme is used to solve the governing Navier-Stokes equations. The equations are written in the form of Stream function, Vorticity function and angular velocity which are highly non-linear, coupled and elliptic partial differential equations. The flow is governed by two parameters Reynolds number (Re) and Taylor number (T). For very low values of Re and T, the results agree with the available experimental and theoretical results in the literature. The results are obtained at higher values of Re and moderate values of T and compared with the experimental results. The results are fourth order accurate.

Keywords: Navier_Stokes equations, Taylor number, Reynolds number, Higher order compact scheme, Rotating Fluid.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335020

References:

[1] Briley WR, 1971 Journal of Fluid Mechanics;47;713-36.
[2] Childress, W.S. 1964 Journal of Fluid Mechanics ;20;305.
[3] Dennis S.C.R .,Ingham D.B & Singh S.N 1982 Journal of Fluid Mechanics117;251-267.
[4] Maxworthy T. 1965 Journal of Fluid Mechanics;23;373.
[5] Maxworthy T. 1970 Journal of Fluid Mechanics;40;453.
[6] Proudman J. 1916 Proc. R.Soc Lond. A 92,408.
[7] Taylor G.I. 1921 Proc. R.Soc Lond. A 100,114.
[8] Weisenborn A.J.(1985) Journal of Fluid Mechanics;153;215-227.