Hi,
To plot isotherm plots in MATLAB for a fluid flow problem, begin by preparing your data. Ensure you have the necessary temperature field data (theta) and velocity field data (v) that vary with your dimensionless parameters. This data is essential for accurately representing the thermal and flow characteristics of your system.
Next, create a grid using the "meshgrid" function. This step is important for organizing your data points systematically, which will aid in plotting and visualization.
For plotting the isotherms, use the "contourf" function. These functions will help you visualize lines of constant temperature, providing a clear picture of the thermal distribution within your fluid flow.
To depict the fluid flow, employ the "streamline" function to plot streamlines. These lines illustrate the direction and path of the fluid, giving a dynamic view of the flow characteristics.
Please refer to the following example code with assumed data:
% Example data
x = linspace(0, 10, 100); % X-axis
y = linspace(0, 10, 100); % Y-axis
[X, Y] = meshgrid(x, y);
% Example temperature field (theta) and velocity field (v)
theta = sin(X) .* cos(Y); % Replace with your actual data
u = cos(X); % X-component of velocity
v = sin(Y); % Y-component of velocity
% Plot isotherms
figure;
contourf(X, Y, theta, 20); % 20 contour levels
colorbar;
xlabel('X');
ylabel('Y');
title('Isotherm Plot');
% Hold the plot to overlay streamlines
hold on;
% Plot streamlines
startX = linspace(0, 10, 10); % Starting points for streamlines
startY = zeros(size(startX));
streamline(X, Y, u, v, startX, startY);
hold off;
Kindly refer to the following MathWorks documentation to know more about the functions discussed above:
- meshgrid: https://www.mathworks.com/help/matlab/ref/meshgrid.html
- contourf: https://www.mathworks.com/help/matlab/ref/contourf.html
- streamline:https://www.mathworks.com/help/matlab/ref/streamline.html
I hope the solution provided above is helpful.
