The Vorticity Equation for Steady Inviscid Flow in Two Dimensions

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Year:
2018
Type of Publication:
Article
Keywords:
Equation, Flow, Inviscid, Steady, Vorticity
Authors:
Steve Anglin
Journal:
IJISM
Volume:
6
Number:
2
Pages:
75
Month:
March
ISSN:
2347-9051
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
Full text: IJISM_735_FINAL.pdf

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