The spin-up flow in a cylinder of homogeneous fluid has been examined both experimentally and numerically by previous authors.
The primary objective of this work is to study the effects of the Rossby number for intertidal oscillations, when the Rossby number is not small.
A pseudospectral techniques are employed to solve the unsteady Navier-Stokes equations. The calculations covered a r range of the Ekman numbers, $1.65×10^{-3} ≤ E ≤ 4.1×110^{-4}$ and the Rossby numbers, 0.01 ≤ ε ≤ 1.5. A representive time history of the velocities at the several locations in the flow field is shown. Inertial oscillations are observed in the interior region. Numerical results are closely agreed with the experimental data.
As the Rossby number increases, the amplitude of inertial oscillation divided by the Rossby number becomes smaller but its frequency increases.
