Abstract

An inviscid tornadolike vortex is analytically modeled using a free narrow jet solution combined with a modified Rankine vortex. An empirical and simplified solution to existing models is defined for flows similar to the ones simulated in Ward-type vortex chambers. Velocity profiles are calculated for a particular swirl ratio Sr=0.28. The model shows reasonable agreement with existing experimental measurements by Baker (1981, “Boundary Layers in Laminar Vortex Flows,” Ph.D. thesis, Purdue University, West Lafayette, IN) and the numerical simulation by Wilson and Rotunno (1986, “Numerical Simulation of a Laminar End-Wall Vortex and Boundary Layer,” Phys. Fluids, 29(12), pp. 3993–4005).

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