TY - JOUR
T1 - Numerical study of secondary flows and roll-cell instabilities in rotating channel flow
AU - Speziale, Charles G.
AU - Thangam, Sivagnanam
PY - 1983/5
Y1 - 1983/5
N2 - A numerical study is conducted on the pressure-driven laminar flow of an incompressible viscous fluid through a rectangular channel subjected to a spanwise rotation. The full nonlinear time-dependent Navier-Stokes equations are solved by a finite-difference technique for various rotation rates and Reynolds numbers in the laminar regime. At weak rotation rates, a double-vortex secondary flow appears in the transverse planes of the channel. For more rapid rotation rates, an instability occurs in the form of longitudinal roll cells in the interior of the channel. Further increases in the rotation rate leads to a restabilization of the flow to a Taylor—Proudman regime. It is found that the roll-cell and Taylor—Proudman regimes lead to a substantial distortion of the axial-velocity profiles. The specific numerical results obtained are shown to be in excellent agreement with previously obtained experimental measurements and theoretical predictions.
AB - A numerical study is conducted on the pressure-driven laminar flow of an incompressible viscous fluid through a rectangular channel subjected to a spanwise rotation. The full nonlinear time-dependent Navier-Stokes equations are solved by a finite-difference technique for various rotation rates and Reynolds numbers in the laminar regime. At weak rotation rates, a double-vortex secondary flow appears in the transverse planes of the channel. For more rapid rotation rates, an instability occurs in the form of longitudinal roll cells in the interior of the channel. Further increases in the rotation rate leads to a restabilization of the flow to a Taylor—Proudman regime. It is found that the roll-cell and Taylor—Proudman regimes lead to a substantial distortion of the axial-velocity profiles. The specific numerical results obtained are shown to be in excellent agreement with previously obtained experimental measurements and theoretical predictions.
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U2 - 10.1017/S0022112083001135
DO - 10.1017/S0022112083001135
M3 - Article
AN - SCOPUS:0020749559
SN - 0022-1120
VL - 130
SP - 377
EP - 395
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -