Flow over an Axisymmetric Body in a Cylindrical Tunnel.
Abstract
The flow past an axisymmetric body in a cylindrical tunnel is of practical importance in the study of wind or water tunnel blockage effects and in the analysis of high speed tube transportation vehicles. The present study employs the Green's Function method to analyze the flow past arbitrary axisymmetric bodies in cylindrical tunnels. Towards this end, the appropriate fundamental solution to the Laplace's equation is developed. This solution automatically satisfies the boundary conditions at the tunnel wall and at the upstream and downstream infinities. The boundary condition at the body is formulated into an integral equation of the second kind. A numerical method is employed for the solution of the integral equation. It is shown further that the limiting case of the flow in a tunnel of infinite radius agrees very well with the previously known flow in an unbounded medium. The present method has been employed for the analysis of various body shapes of interest. The results show excellent agreement in cases when exact analytical solutions are available. The present method has also been found to be computationally efficient. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1979
- Accession Number
- ADA068610
Entities
People
- J. R. González Fernández
Organizations
- Pennsylvania State University