How to draw a streamline diagram in a circular area？

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.

Answer 1

[Hassaan]

% 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
figure;
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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[Mar]

This is very helpful to me, thank you!