find the mass flux of between 2 regions diffusing into eachother in matlab

To find the mass flux between two regions diffusing into each other using MATLAB, you can follow these steps:

Define the concentration profiles of the two regions over time. Let's assume you have concentration profiles stored in arrays C1 and C2 for region 1 and region 2, respectively.
Calculate the concentration gradient between the two regions at each time point. The concentration gradient is calculated as the difference in concentrations divided by the distance between the two regions. Let's assume the distance between the two regions is stored in a variable d.
```
main.m
gradient = (C2 - C1) / d;
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Define the diffusion coefficient, which determines the rate of diffusion between the two regions. Let's assume the diffusion coefficient is stored in a variable D.
Calculate the mass flux using Fick's Law of diffusion, which states that the mass flux is proportional to the concentration gradient and the diffusion coefficient.
```
main.m
mass_flux = -D * gradient;
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The negative sign in the equation accounts for the flux being directed from region 1 to region 2.

By following these steps, you can calculate the mass flux between two regions diffusing into each other using MATLAB.