The Vorticity Equation for Steady Inviscid Flow in Two Dimensions
Journal Title: International Journal of Innovation in Science and Mathematics - Year 2018, Vol 6, Issue 2
Abstract
The vorticity equation of steady inviscid flow in two dimensions is covered where the vorticity is (0,0, omega). We can write this equation in terms of the stream function Psi(x,y) and we show that this implies that omega equals omega as a function of psi. The Stuart vortex is one such flow and the stream function is given to verify that in this flow omega equals a negative exponential function of -2psi or exp[-2 psi], where the constant C has values 1 or greater on the lower bound and upwards to positive infinity. We show that for C = 1, the flow is a unidirectional flow with simply u = tanh(y) and v = 0.
Authors and Affiliations
Steve Anglin
Keywords
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