I want to do 2D colormap plot with a temperature gradient.

The node size of the plate sets the length of one side to a square of 0.2. The number of nodes is set to 60 x 30. Divide the plate into six pieces. The values of the intermediate node in the six-division zone are as follows. [97.4, 99.7, 99.6; 103, 102, 102.5] This value means the temperature of Celsius. I want to check the process of changing this temperature through the node.

[Image Analyst]

Do you have a 2-D matrix of numbers that you want to display? If so, attach it in a .mat file.

Answer 1

[Ayush]

Hey,

I understand that you want to know that how the specified intermediate temperature values, distributed across a 60x30 node grid divided into six pieces, evolve through the nodes of the plate.

To simulate and visualize the temperature distribution across a plate divided into six pieces in MATLAB, you can follow this approach.

Note: This example assumes an equal division along the longer side (60 nodes) for simplicity, but you can adjust the logic for other division schemes.

% Dimensions of the plate
numNodesX = 60; % X-direction
numNodesY = 30; % Y-direction

% Initialize the plate with a baseline temperature, for example, 20°C
plateTemperature = 20 * ones(numNodesY, numNodesX);

% Given intermediate node temperatures
intermediateTemps = [97.4, 99.7, 99.6; 103, 102, 102.5];

% Assuming the division is along the 60 node side into 6 pieces,
% and these temperatures are centrally located, we need to find the
% appropriate indices. This is a simplified assumption.
% For a more accurate placement, you would need exact locations.

% Calculate the width of one piece
pieceWidth = numNodesX / 6; % 60/6 = 10 nodes

% Assuming the temperatures are in the middle of each piece,
% and centrally located in the Y direction as well,
% we calculate the starting index for these nodes
startX = round(pieceWidth/2) - 1; % Adjust based on your indexing preference
startY = round((numNodesY - size(intermediateTemps, 1)) / 2);

% Insert the given temperatures into the plate matrix
for i = 1:size(intermediateTemps, 2)
    offsetX = (i-1) * pieceWidth;
    for j = 1:size(intermediateTemps, 1)
        plateTemperature(startY+j, startX+offsetX+1:startX+offsetX+3) = intermediateTemps(j, i);
    end
end

For a 2D colormap plot of the temperature distribution across the plate in MATLAB, you can refine the visualization aspect using the "colormap" function along with "imagesc" in the following way:

% Assuming the initial setup and temperature insertion has been completed

% Visualize the temperature distribution with colormap
figure;
imagesc(plateTemperature);
colorbar; % To show the temperature scale
colormap('jet'); % Use the 'jet' colormap for better visualization
title('2D Colormap of Temperature Distribution Across the Plate');
xlabel('Node Position in X-direction');
ylabel('Node Position in Y-direction');

% Enhance the plot with grid lines to delineate the divisions
xticks([0:10:numNodesX]); % Adjust the tick positions based on your divisions
yticks([0:5:numNodesY]);
grid on; % Enable grid
axis equal tight; % Adjust axis scaling and limits

For more information on 'colormap' function, refer to the following MathWorks documentation link: https://in.mathworks.com/help/matlab/ref/colormap.html

I hope this helps!