# hw7 - Consider two velocity potentials, x and x/r^2 where r...

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AAE333 Fall 2011 Homework 7 Due: Mon Oct 17 1) Determine if the velocity potential φ = x^2-y^2 corresponds to an incompressible flow. 2) Determine the x, y velocity components corresponding to the velocity potential φ = x^2-y^2 3) φ Draw lines of constant = x^2-y^2 in the square region 0<x<1, 0<y<1. Draw velocity vectors on this domain. (this is best done in Matlab using the functions CONTOUR and QUIVER, as demo’d in class) 4) Consider the 2D velocity field u=0, v=2 x i. Is this flow incompressible? ii. Is this flow irrotational? iii. Is there a velocity potential describing this flow? 5)
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Unformatted text preview: Consider two velocity potentials, x and x/r^2 where r = sqrt(x^2+y^2), Find a linear combination of the two for which the velocity at large distances (r big) is 3 in the x direction and there is a stagnation point at x=-1, y=0. i. Find the x,y velocity components (u,v) ii. Plot the velocity vectors over a domain from x=-2 to x=+2 and y=-2 to +2. iii. Draw streamlines coming from the left boundary of the box (x=-2) iv. Examine the velocity on the circle r=1. What is it’s maximum value, and where? v. Find the pressure coefficient on the circle r=1. Plot it vs x...
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## This document was uploaded on 01/22/2012.

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