NUMERICAL SOLUTION OF THE INCOMPRESSIBLE TIME-DEPENDENT VISCOUS FLOW PAST A THIN OBLATE SPHEROID.
Abstract
The objective of the work is to obtain numerical solutions of the transient flow around a thin disk normal to the flow. The transition takes place between a potential field and a fully developed viscous field. The fluid is incompressible and homogeneous, and its flow is governed by the Navier-Stokes equations. The purpose of the study is twofold: (1) to investigate the effects of a very large curvature of the body on the numerical procedure for the solution of the flow field and (2) to investigate the fundamental fluid dynamical phenomena of separation, of a recirculatory wake, and of vorticity shedding under the constraint of axial symmetry. The solutions are obtained by constructing a finite-difference approximation to the Navier-Stokes equations on an oblate spheroidal grid system, and then advancing the solution with respect to time. The vorticity and the stream function are the dependent variables. The results show that no vorticity shedding occurs for axisymmetric flow in the Reynolds-number range studied. In addition, some new interesting fluid-dynamical features are revealed. These include a different behavior of the pressure distribution at low and high Reynolds numbers and a local maximum of vorticity inside the wake at the higher Reynolds numbers studied. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1969
- Accession Number
- AD0684086
Entities
People
- Yermiyahu Rimon