The stream function for the two-dimensional unsteady Taylor-Green vortex (TGV) flow is given by = cos(x)...
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The stream function for the two-dimensional unsteady Taylor-Green vortex (TGV) flow is given by = cos(x) cos(y) e-2vt ay a Derive the velocity components (u, v) for this stream function where u = and v= Here, x [0, 2] and y [0, 27]. Answer the following questions: 1. Plot contours of stream function at t = 1 with v=0.01. 2. Consider a particle located at (,) at t = 0. Draw its pathline till t=5. Following conditions apply for the particle position: o For x > 2, x' = x - 2 and set x to be x' o For x < 0, x' = x + 2 and set x to be x' o For y > 2n, y'= y 2n, and set y to be y' o For y < 0, y'= y + 2, and set y to be y' ax The stream function for the two-dimensional unsteady Taylor-Green vortex (TGV) flow is given by = cos(x) cos(y) e-2vt ay a Derive the velocity components (u, v) for this stream function where u = and v= Here, x [0, 2] and y [0, 27]. Answer the following questions: 1. Plot contours of stream function at t = 1 with v=0.01. 2. Consider a particle located at (,) at t = 0. Draw its pathline till t=5. Following conditions apply for the particle position: o For x > 2, x' = x - 2 and set x to be x' o For x < 0, x' = x + 2 and set x to be x' o For y > 2n, y'= y 2n, and set y to be y' o For y < 0, y'= y + 2, and set y to be y' ax
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To derive the velocity components u v for the given stream function psi cosx cosy e2vt we need to take the partial derivatives with respect to x and y ... View the full answer
Related Book For
Fundamentals Of Momentum Heat And Mass Transfer
ISBN: 9781118947463
6th Edition
Authors: James Welty, Gregory L. Rorrer, David G. Foster
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