Rear Separation in a Rotating Fluid at Moderate Taylor Numbers
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.
[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.
[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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:63249", author = "S. Damodaran and T. V. S.Sekhar", title = "Rear Separation in a Rotating Fluid at Moderate Taylor Numbers", 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.", volume = "6", number = "8", pages = "1208-4", }