Vorticity amplification in viscous flow around a body

A mathematical model of turbulence amplification in flow approaching the stagnation zone of a bluff body incorporating the viscous effects is advanced. The model examines the amplification and/or attenuation of steady and unsteady vortical disturbances as they are conveyed from a finite upwind distance to the stagnation point. In particular, the analysis focuses on the evolution of cross vorticity and streamwise perturbation velocity along the stagnation streamline. The linearized governing equations are solved simultaneously by dividing the flow into inner and outer regions for both the cross vorticity and streamwise perturbation velocity. Asymptotic solutions are put forward in the outer region while in the inner region the equations are solved numerically. An iterative numerical matching procedure was devised to achieve simultaneous matching for both perturbation variables.