Stream Function and Velocity Potential, Incompressible and Potential Flow 0.0 / 5 ? EngineeringStream Function and Velocity Potential, Incompressible and Potential FlowUniversityAll boards Created by: 12345Created on: 24-12-17 16:33 Continuity Equation du/dx + dv/dy = 0 1 of 7 If there is a function ω = ω (x,y) such that : u= dω/ dy v= - dω/dx 2 of 7 Definition of Stream Function ω in symbols ω = ω (x,y) 3 of 7 N.B: N.B: Stream function has a constant value on a streamline or streamline has constant value for its stream function 4 of 7 Circulation When there is rotational motion of the fluid, a measure of swirl 5 of 7 Equation of Circulation Γ = ∮ Vt dS 6 of 7 For a 2D flow field Vt = tangential dS= length of element which fluid is tangential 7 of 7
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