Nashrieh Shimi va Mohandesi Shimi Iran

Nashrieh Shimi va Mohandesi Shimi Iran

Investigation and Comparison of Complete Kinetics, Approximation of Linear and Equilibrium Driving Force in the Simulation of gas Adsorption Systems

Document Type : Research Article

Authors
Hossein Rahideh
Masoud Mofarahi
Amir Abbas Izadpanah
Department of Chemical Engineering, Faculty of Petroleum, Gas and Petrochemical Engineering, Persian Gulf University, Bushehr, I.R. IRAN
Abstract
In this study, the points of view of complete kinetics method, approximation of linear driving force and equilibrium method in the simulation of gas adsorption systems with the numerical calculation of differential quadrature element-increment method were investigated. So that, in the method of complete kinetics, all mechanisms including Knudsen diffusion, viscous flow, slip flow, molecular diffusion and surface diffusion are considered. In linear driving force approximation, mass transfer is expressed by a general mass transfer coefficient instead of all mass transfer resistances, and as a result, elapsed time of calculations is reduced. However, the approximation of the linear driving force is highly dependent on the average radius of the particle adsorbent, and increasing the particle radius causes more deviation from the complete kinetic point of view. In the equilibrium method, adsorption kinetics is not considered and concentration changes in the system are determined based on the equilibrium adsorption isotherm. The results show that with the increase in the radius of the adsorbent particles, the complete kinetic view will be a more appropriate method to describe the adsorption behavior. It was also observed that the overall mass transfer coefficient changes in the adsorption process, depending on the temperature and pressure conditions, so that an increase in temperature causes it to increase, and this dependence is more sensitive at low pressures. In addition, with increasing pressure, the overall mass transfer coefficient passes through a minimum value and then increases.
Keywords
Gas adsorption
Differential quadrature element-increment method
Complete kinetic method
Linear driving force approximation
Equilibrium method
[1] Vizhemehr A.K., Haghighat F., Modeling of Gas-Phase Filter Model for High-and Low-Challenge Gas Concentrations, Building and Environment, 80: 192-203 (2014).
[2] Siahpoosh M., Fatemi S., Vatani A., Mathematical Modeling of Single and Multi-Component Adsorption Fixed Beds to Rigorously Predict the Mass Transfer Zone and Breakthrough Curves, Iranian Journal of Chemistry and Chemical Engineering, 28(3): 25-44 (2009).
[3] Casas N., Schell J., Pini R., Mazzotti M., Fixed Bed Adsorption of Co2/H2 Mixtures on Activated Carbon: Experiments and Modeling, Adsorption, 18(2): 143-161 (2012).
[4] Marx D., Joss L., Casas N., Schell J., Mazzotti M., Prediction of Non-Isothermal Ternary Gas-Phase Breakthrough Experiments Based on Binary Data, Adsorption, 20(2-3): 493-510 (2014).
[5] Ma L., Ning P., Zhang Y., Wang X., Experimental and Modeling of Fixed-Bed Reactor for Yellow Phosphorous Tail Gas Purification over Impregnated Activated Carbon, Chemical Engineering Journal, 137(3): 471-479 (2008).
[6]  Rahideh H., Mofarahi M., Malekzadeh P., An Inverse Method to Estimate Adsorption Kinetics of Light Hydrocarbons on Activated Carbon, Computers & Chemical Engineering, 93: 197-211 (2016).
[7] Do D.D., Do H.D., Prasetyo I., Constant Molar Flow Semi-Batch Adsorber as a Tool to Study Adsorption Kinetics of Pure Gases and Vapours, Chemical engineering science, 55(9): 1717-1727 (2000).
[8] Rahideh H., Mofarahi M., Malekzadeh P., Golbahar Haghighi M.R., Application of Inverse Method to Estimation of Gas Adsorption Isotherms, Transport in Porous Media, 110(3): 613-626 (2015).
[9] Ruthven D.M., "Principles of Adsorption and Adsorption Processes", John Wiley & Sons, (1984).
[10] Do D.D., "Adsorption Analysis", World Scientific, (1998).
[11] Mulder J., "Basic Principles of Membrane Technology Second Edition", Kluwer Academic Pub, (1996).
[12] Eriksson T., Sylwan C., Measurement Method for Finding Gas Adsorption Equilibrium Isotherms by Employing a Gas Chromatograph and Using Its Integrator in a New Way, Review of scientific instruments, 76(4): 044102 (2005).
[13] Hashemifard S.A., Ismail A.F., Matsuura T., To What Extent the Conventional Gas Permeation Testing Method Is Reliable for Membrane Systems?, Separation and Purification Technology, 114: 90-98 (2013).
[14] Kast W., Hohenthanner C.R., Mass Transfer within the Gas-Phase of Porous Media, International Journal of Heat and Mass Transfer, 43(5): 807-823 (2000).
[15] Wakao N., Otani S., Smith J., Significance of Pressure Gradients in Porous Materials: Part I. Diffusion and Flow in Fine Capillaries, AIChE Journal, 11(3): 435-439 (1965).
[16] Hashemifard S.A., Ismail A.F., Matsuura T., Hilal N., Predicting the Structural Parameters of Integrally Skinned Porous Membranes, Journal of Membrane Science, 454: 451-462 (2014).
[17] Malekzadeh P., Rahideh H., IDQ Two-Dimensional Nonlinear Transient Heat Transfer Analysis of Variable Section Annular Fins, Energy conversion and management, 48(1): 269-276 (2007).
[18] Golbahar Haghighi M.R., Eghtesad M., Malekzadeh P., Necsulescu D., Two-Dimensional Inverse Heat Transfer Analysis of Functionally Graded Materials in Estimating Time-Dependent Surface Heat Flux, Numerical Heat Transfer, Part A: Applications, 54(7): 744-762 (2008).
[19] Malekzadeh P., Vosoughi A., DQM Large Amplitude Vibration of Composite Beams on Nonlinear Elastic Foundations with Restrained Edges, Communications in Nonlinear Science and Numerical Simulation, 14(3): 906-915 (2009).
[20] Malekzadeh P., Rahideh H., Karami G., Optimization of Convective–Radiative Fins by Using Differential Quadrature Element Method, Energy conver. manag., 47(11): 1505-1514 (2006).
[21] Rahideh H., Malekzadeh P., Golbahar Haghighi M.R., Non-Fourier Heat Conduction Analysis with Temperature-Dependent Thermal Conductivity, ISRN Mechanical Engineering, 2011: 321605 (2011).
[22] Bert C.W., Malik M., Differential Quadrature Method in Computational Mechanics: A Review, Applied Mechanics Reviews, 49(1): 1-28 (1996).
[23] Shu C., Richards B.E., Application of Generalized Differential Quadrature to Solve Two‐Dimensional Incompressible Navier‐Stokes Equations, International Journal for Numerical Methods in Fluids, 15(7): 791-798 (1992).
[24] Liaw C.H., Wang J.S.P., Greenkorn R.A., Chao K.C., Kinetics of Fixed‐Bed Adsorption: A New Solution, AIChE Journal, 25(2): 376-381 (1979).