Hello, anyone can help me to make the code about volumetric integrated soot volume fraction ?

How to make a matlab code to find the volumetric integrated soot volume fraction with this equation

∭▒〖I_soot (r,θ,z)dV=2π∫_0^L▒∫_0^R▒〖I_soot (r,z)rdr dz〗〗

dV=rd drdz

thank you very much

[Torsten]

So you have a function I_soot(r,z) ? Then use "integral2" to solve the integral.

Answer 1

[Amish]

Hi Eka,

I can understand that you are trying to find a way to implement the integration of the given equation. Assuming that you already have the function “I_soot(r,z)” implemented. Then the given equation can be integrated easily using the integral2 method.

The documentation for the Integral2 method can be found at: https://www.mathworks.com/help/matlab/ref/integral2.html

You can also refer to the generic code sample below:

% Define the integration limits 
R = 1;    % Upper limit of r 
L = 2;    % Upper limit of z 
% Define the anonymous function to be integrated 
fun = @(r, z) r .* I_soot(r, z) 
% Perform the double integral using integral2 
result = 2 * pi * integral2(fun, 0, R, 0, L); 
% Display the result 
fprintf('Volumetric Integrated Soot Volume Fraction: %.4f\n', result); 

Regards

Amish