Three-dimensional viscous flow solutions with a vorticity-stream function formulation

A three-dimensional dual potential procedure for rotational flows

“…Figure 21 show comparisons of the pressure p -%(!-ùj) where is the velocity at the edge of the boundary layer, with the results of Veldman (1981) who studied the same configuration using a quasi-simultaneous viscous-inviscid interaction procedure. The present results are compared with those of Veldman because Davis et al (1986) did not present values of the pressure in their report. The figure shows good agreement between the present boundary-layer results and that of Veldman.…”

“…Related methods have been presented by Davis et al (1986) who used the decom position of the velocity field into two stream functions and applied it to compute the incompressible viscous flow over three-dimensional troughs and bumps. An excellent review of the techniques used for solving the Navier-Stokes equations in two dimensions with the vorticity/stream-function method is given by Roache (1972).…”

A dual-potential formulation of the Navier-Stokes equations

“…External viscous flows have been computed by Davis et al (1989). No attempts have been reported on the use of this method to solve three-dimensional unsteady compressible viscous flows.…”

“…Some viscous external flow solutions were obtained by Rao (1987) and Davis et al (1986) for flow over two-and three-dimensional troughs. Rao (1987) used interacting boundary layer theory to supply the vorticity to a dual potential code for the inviscid rotational part of the flow.…”

“…Rao (1987) used interacting boundary layer theory to supply the vorticity to a dual potential code for the inviscid rotational part of the flow. Davis et al (1986Davis et al ( , 1989) use a viscous dual potential method for the entire flow field. Matching between the outer inviscid flow and the inner viscous region is automatic in their case.…”