Design and Operation of Pressure Swing Adsorption Processes

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Design and Operation of Pressure Swing Adsorption Processes ( design-and-operation-pressure-swing-adsorption-processes )

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∂tr∂r ∂r ∂qi =ki(qi∗ −qi) ∂t while the mass transfer coefficient is given by ki = 60Dp,i d2p Chapter 2. Pressure Swing Adsorption i=1,...,Nc i = 1,...,Nc (2.6) (2.7) 16 2.3 PSA Modeling either micropores don’t exist or this resistance is negligible, i.e., adsorption occurs in the micropores instantaneously. Depending on the mathematical complexity desired, mass transfer phenomena in an adsorption process can be described using either of the three models below. • Instantaneous equilibrium model This model is applicable when all the mass transfer resistances between the gas and the solid phases are negligible. As a result, equilibrium is attained instantaneously in the system with no mass transfer losses. It can be characterized as ∂ q i ∂ q i∗ ∂t = ∂t i=1,...,Nc (2.4) • Pore diffusion model In the pore diffusion model, following detailed diffusion equation within the spherical adsorbent particle is solved to obtain the local rate of change of solid loading [207]. ∂q 1∂􏱲 ∂q􏱳 i = 2 Dp,ir2 i , ∀r ∈ (0,dp/2), i = 1,...,Nc (2.5) Boundary condition is obtained by comparing internal flux with the external flux at the boundary of the pellet. • Linear driving force model (LDF) The LDF model [84] is obtained by assuming a parabolic solution profile for the pore diffusion model and then using an average solid loading for the entire adsorbent particle. It is expressed as

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