How to 2D plot using the equation of fi and zi?
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Accepted Answer
Bruno Luong
on 5 Sep 2019
Edited: Bruno Luong
on 5 Sep 2019
The wikipedia page plots only the polar sector 2*pi/(2*n) of the stream lines / potential
The second plot is the full picture.
n = 3/2;
A = 1;
x=linspace(-1,1,21);
y=linspace(-1,1,21);
[X,Y]=ndgrid(x,y);
Z=X+1i*Y;
W = A*Z.^n;
phi = real(W);
psi = imag(W);
close all
subplot(2,1,1);
hold on
plot(phi,psi,'b');
plot(phi.',psi.','g');
axis equal
subplot(2,1,2);
hold on
contour(x,y,phi.',20,'b');
contour(x,y,psi.',20,'g');
axis equal
2 Comments
darova
on 5 Sep 2019
Use polar system of coordinates then:
n = -1.5;
A = 1;
r = linspace(0,2,30);
th = linspace(0,2*pi,100);
[R, TH] = meshgrid(r,th);
fi = A*R.^n.*cos(n*TH);
zi = A*R.^n.*sin(n*TH);
[X,Y] = pol2cart(TH,R);
contour(X,Y,fi,'g')
hold on
contour(X,Y,zi,'b')
hold off
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