naa a22 4500 510820212 CHVBK 20180411083527.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s11814-012-0188-8 doi (NATIONALLICENCE)springer-10.1007/s11814-012-0188-8 Applications of high-order approximate models for unsteady-state diffusion and reaction in a catalyst [Elektronische Daten] [Wonhui Cho, Jietae Lee] The partial differential equation for unsteady-state diffusion, adsorption and a first-order reaction in a catalyst is often approximated to ordinary differential equations for reduced computational loads. Very high-order models obtained by the continued fraction expansion method are accurate for a wide range of the Thiele modulus and the changing frequency of surface concentration. In addition, they are numerically well-conditioned. However, due to their high dimensionalities, they will not have merits over other low-order models. Here, high-order models based on the continued fraction expansion method are shown to be used to obtain various practical models. With the Taylor series obtained from high-order models, Pade approximations are easily obtained regardless of the Thiele modulus and the shape of catalyst. Low-order models by applying the balanced truncation method to a high-order model can also be obtained, providing better approximations than the well-known Pade models. Korean Institute of Chemical Engineers, Seoul, Korea, 2013 Adsorption Dynamics nationallicence Pore Diffusion Model nationallicence Fractional Order System nationallicence Linear Driving Force Model nationallicence Convolution nationallicence Cho Wonhui enGibbs, #A-503 Shin Young Gwell Estates, 93-10, Bansong-dong, Hwasung, 445-160, Gyeonggi, Korea aut Lee Jietae enGibbs, #A-503 Shin Young Gwell Estates, 93-10, Bansong-dong, Hwasung, 445-160, Gyeonggi, Korea aut Korean Journal of Chemical Engineering Springer US; http://www.springer-ny.com 30/3(2013-03-01), 580-586 0256-1115 30:3<580 2013 30 11814 https://doi.org/10.1007/s11814-012-0188-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11814-012-0188-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cho Wonhui enGibbs, #A-503 Shin Young Gwell Estates, 93-10, Bansong-dong, Hwasung, 445-160, Gyeonggi, Korea aut NATIONALLICENCE 700 1- Lee Jietae enGibbs, #A-503 Shin Young Gwell Estates, 93-10, Bansong-dong, Hwasung, 445-160, Gyeonggi, Korea aut NATIONALLICENCE 773 0- Korean Journal of Chemical Engineering Springer US; http://www.springer-ny.com 30/3(2013-03-01), 580-586 0256-1115 30:3<580 2013 30 11814 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer