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∂T∂P ∂T∂T (εb+(1−εb)εP)CpgCT ∂t−∂t+((1−εb)ρPCpp)∂t+εbCpgCTv∂z+ n Cpg= (yCp) with ∑ i=1 j g,i n ∂T ∂q2 ∑ (1−ε)ρ bP ∂t∂tr i+ h(T−T)=0 (6) j=1 b,i Cp q +∆H a,jj i w w where Cpg,i and Cpa,j are the molar heat capacities of species i in the gas and adsorbed phase,respectively(typicallyassumedidentical),Cpp istheheatcapacityofthepellet,ΔHi is the heat of adsorption of species i, hw is the heat transfer coefficient at the inner side of the wall of the bed and ri is the internal radius of the bed and Tw is the wall temperature. The pressure drop along the bed is evaluated via Ergun’s equation, i.e. the momentum balance (E.B.) Eq. (7): 2 ∂P +1.5×10−1 μ 1−εb v+1.75×10−3C M 1−εb vv =0 (7) ∂z g 2r ε T pb pb g 2r ε where μg and Mg are the viscosity and the average molecular weight of the gas phase and rp is the effective radius of the pellet. At given boundaries the flow rate (F) whether it’s goes in or out of the bed is defined according to the valve equation (V.E.), which is defined according to Eq (8): F=C v 1 min 49.08|P -P 0.5, 41.63P (8) vsigng 2- 2+ - S T- where cv is the valve coefficient, Sg is the molecular weight of the gas relative to that of air, P- and P+ is the pressure upstream and downstream the valve, T- is the temperature upstream the valve. The equations described above constitute a complete mathematical model for multi- component pressure swing adsorption process once the initial and boundary conditions for particular steps are specified. For a system containing N components, there are a total of 2N+3 variables and equations that have to be solved at each node. The initial and boundary conditions depends on the PSA process cycle configuration used. The initial and boundary conditions for different steps are given in Table 2.1. 9PDF Image | Development of a Pressure Swing Adsorption (PSA) Cycle for CO2 Capture
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CO2 Organic Rankine Cycle Experimenter Platform The supercritical CO2 phase change system is both a heat pump and organic rankine cycle which can be used for those purposes and as a supercritical extractor for advanced subcritical and supercritical extraction technology. Uses include producing nanoparticles, precious metal CO2 extraction, lithium battery recycling, and other applications... More Info
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