How to make matlab code in radial integrated soot in the matlab

How to make matlab code to find the radial integrated soot of soot volume fraction ?

The equations is :∬▒〖I_soot (r,θ,z)dA=2π 〗 ∫_0^R▒〖I_soot (r,z)rdr〗

Thank you very much

[Walter Roberson]

I am nto clear as to what the difference is compared to https://www.mathworks.com/matlabcentral/answers/1779220-hello-anyone-can-help-me-to-make-the-code-about-volumetric-integrated-soot-volume-fraction?s_tid=srchtitle?

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