Approximate analytical solutions for a mathematical model of a tubular packed-bed catalytic reactor using an Adomian decomposition method

In this paper, a mathematical model of a tubular packed-bed catalytic reactor, which is modeled by a system of strongly nonlinear second-order partial differential equations with incompatible boundary conditions, will be solved. By properly using the boundary conditions and correctly choosing the solution search direction, approximate analytic solutions for the model can be obtained by the Adomian decomposition method. When the values of the dimensionless parameters in the system are assigned within a suitable range, the solutions describe objectively the distributions of the temperature and key reactant concentration in the reactor.