Solving Gas Diffusion Equations with MATLAB/COMSOL - Mike

[mike64]

hi everybody!
I'm studing the gas diffusion in two cases:

1. first case: gas diffusion in 3D open space in a spheric simmetrical case

∆C(x,y,z,t)-(1/D)(∂C(x,y,z,t))/∂t=0
where:
x,y,z arbitraries
gas concentration =0 for big spheric dimensions lim┬(r→∞)⁡〖C(r,t)〗=0
concentration C is C=C(r,t)

2. second case: gas diffusion in a open orizontal cilinder with a length = ∞

∆C-(1/D)∂C/∂t=0
where:
cilinder length = ∞
cilider simmetrical axis is given by C=C(r,z) where C=Σ of C (gas concentration), Q (gas quantity) and z is -∞<z<+∞
for t=0 C=(r,z,0)=∂(r)/πr

I just have developed the analitic solutions but my problem now is to develop the numerical solutions with MATLAB and COMSOL and I'm not so close to the softwares.
there is anybody can help me or can indicate me a MATLAB/COMSOL model to modified?
thank you in advance
mike

 

[gtoguy97]

Hi Mike,MATLAB has a variety of tools for solving partial differential equations, including the partial differential equation toolbox. You can find more information here: https://www.mathworks.com/products/partial-differential-equation.html. COMSOL also has a variety of tools for solving PDEs, including the COMSOL Multiphysics software. You can find more information here: https://www.comsol.com/products/comsol-multiphysics/.I hope this helps! Good luck with your project.