Ergun Equation gives us the pressure drop along the length of a packed bed reactor at a given fluid velocity.
From Ergun Equation we can understand that the pressure drop in a packed bed depends on the size of the packing material, length of the bed and the density of the fluid.
The Ergun equation is the sum of a viscous term, corresponding to the Kozeny-Carman equation (which was developed for lowly to moderately porous media), and an inertial term, corresponding to the Burke-Plummer equation (which was developed for highly porous media).
The pressure drop in the pipes can be expressed as follows:
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