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I'm a university student doing some RA work which involves modelling the gas pressure in a tubular fixed bed plug reactor with an exothermic gas-solid reaction. I know the pressure will be influenced by three things: viscous drag, gas reacting with the solid and temperature increasing.

I'm not a chemical engineer, so I'm not really familiar with these types of calculations. I've done my best to Google, but I can only seem to find models for non-reacting species and no temperature change. I've found two main models: Darcy's Law (low Reynolds number, incompressible fluids) and Ergun equation.

My rough calculations put the Reynolds number approximately 1~2. Does anyone know where I can find a model which includes production/removal of gas as well as temperature changes?

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# Gas pressure calculation of reactive species in a fixed bed reactor

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