Lecture 18: The coupled partial differential equations

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wave solutions, boundary conditions
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Respected sir,

I am trying to modeling Fixed bed adsorption process which consists of Activated alumina and molecular sieve for removal of Moisture, CO2 and some hydrocarbon from air. The process is not isothermal also involves pressure drop.
It is involved some coupled PDE. Sir, can you kindly suggest which technique I can use to solve those coupled PDEs ? I am interested in breakthrough characteristics of bed.

bitanchowdhury