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How to draw a streamline diagram in a circular area?

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Hi all, x and y are the coordinates of the circular region in the file, u and v are the velocity values in x and y directions in the corresponding coordinates, I can draw a vector diagram, but it 's hard to draw a streamline diagram, So I would like to know how to use the streamline function for a circular area.

Accepted Answer

Hassaan on 19 Apr 2024
Edited: Hassaan on 19 Apr 2024
% Parameters
radius = 2; % Radius of the circular area
x = linspace(-2.5, 2.5, 100);
y = linspace(-2.5, 2.5, 100);
[X, Y] = meshgrid(x, y);
% Define the velocity field
U = -Y;
V = X;
% Mask for the circular region
mask = (X.^2 + Y.^2) <= radius^2;
% Applying the mask to the velocity fields
U(~mask) = NaN; % Set velocities outside the circle to NaN
V(~mask) = NaN;
% Create the streamline plot
hold on;
streamslice(X, Y, U, V, 'arrows'); % 'noarrows' hides the arrows, remove if arrows are desired
axis equal;
xlim([-2.5 2.5]);
ylim([-2.5 2.5]);
title('Streamline Plot within a Circular Region');
viscircles([0 0], radius, 'Color', 'k', 'LineWidth', 1); % Draw circle boundary
hold off;
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It's important to note that the advice and code are based on limited information and meant for educational purposes. Users should verify and adapt the code to their specific needs, ensuring compatibility and adherence to ethical standards.
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