Numerical studies of slow viscous rotating flow past a sphere. II. (English) Zbl 0685.76015
Summary: [For part I see: ibid. 7, 307-317 (1987; Zbl 0616.76042).]
The Navier-Stokes equations, which are the governing equations for a steady, viscous, incompressible fluid rotating about the z-axis with angular velocity \(\omega\), are linearized using the Oseen approximation. Two parameters, namely the Reynolds number \(Re=Ua/v\) and \(Re_{\omega}=2\omega a^ 2/v\) (the Reynolds number w.r.t. rotation), enter the linearized equations. These equations are solved by the Peaceman-Rachford ADI method and the resulting algebraic equations are solved by the SOR method. Streamlines are plotted and compared with the Oseen solution for the non-rotating case. The magnitude of the vorticity vector with increasing \(\theta\) is also plotted.
The Navier-Stokes equations, which are the governing equations for a steady, viscous, incompressible fluid rotating about the z-axis with angular velocity \(\omega\), are linearized using the Oseen approximation. Two parameters, namely the Reynolds number \(Re=Ua/v\) and \(Re_{\omega}=2\omega a^ 2/v\) (the Reynolds number w.r.t. rotation), enter the linearized equations. These equations are solved by the Peaceman-Rachford ADI method and the resulting algebraic equations are solved by the SOR method. Streamlines are plotted and compared with the Oseen solution for the non-rotating case. The magnitude of the vorticity vector with increasing \(\theta\) is also plotted.
MSC:
| 76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |
| 76U05 | General theory of rotating fluids |
| 76D07 | Stokes and related (Oseen, etc.) flows |
Keywords:
Navier-Stokes equations; steady, viscous, incompressible fluid; Oseen approximation; Peaceman-Rachford ADI method; SOR methodReferences:
| [1] | Raghavarao, Int. j. numer. methods fluids 7 pp 307– (1987) |
| [2] | Slow Viscous Flow, The Macmillan Company, New York, 1964, pp. 144-145. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
