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A. Derivation of The Energy Balance Equation Next, mass balance equation Eq. 3.3 is multiplied with individual Cp and summed over Ncomp ( Ncomp ) Ncomp Ncomp ∂∑∂∑∂∑∂∑ CiCpi +(1−εb)ρs ∂t Combining equations A.15 and A.16, and neglecting the mass dispersion term εt ∂t CiCpi +∂z U i=1 i=1 i=1 QiCpi = εbDz ∂z Cyi i=1 in the Eq. A.15 gives the final form of energy balance as [ Ncomp ] ∑ ∂T εt CiCvi +(1−εb)ρsCps ∂t [ i=1 ] ∑ ∂T + =λ∂2T ∂z2 i=1 ∂t ∂z +εtRT ∂t −(1−εb)ρs (A.16) Ncomp ρs(1 − εb) QiCpi + DR2 ρwCpw [ Ncomp ] ∑ ∂T ∂C Ncomp ∑ ∂Qi − U CiCpi i=1 i=1 (−∆Hi) ∂t 203 (A.15)PDF Image | Operation and Control of Pressure Swing Adsorption Systems
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