Question

3. For the following two-dimensional flow, plot the velocity vectors and contours of the divergence of the velocity on the same graph. Use "meshgrid" with a spacing of "0.5". Last Name A-M:V-I V = -XY in the region -4<x<4,-4<y<4 VX+ Last Name N-Z:V,= in the region -6<x<6,-6<y<6 V.X 4. For the two-dimensional flows from problem 3, plot 15 contours the angular velocity using the MATLAB command "cavacurl(x, yvx, Wy)". Use "meshgrid" with a spacing of "0.2"
have 3 need help with #4

Answer 1

The MATLAB code for #4 is;

x=-4:0.2:4;
y=-4:0.2:4;   
[X,Y]=meshgrid(x,y);

for i=1:length(x)
for j=1:length(y)
vx(i,j)=1/sqrt(X(i).^2+Y(j).^2);
vy(i,j)=-(X(i)*Y(j))./sqrt(X(i).^2+Y(j).^2);
end;
end;

cav=curl(X,Y,vx,vy);
contour(X,Y,cav)
xlabel('x');
ylabel('y');