THERMAL SCIENCE
International Scientific Journal
EASY WAY TO CALCULATE THE ANZELIUS — SCHUMANN J FUNCTION
ABSTRACT
The paper deals with the computational aspects of the so called Anzelius function. This special function is the fundamental one for describing the kinetics of a fixed-bed adsorber and is widely used on the theory of :
breakthrough curves not only in adsorption and ion exchange, but in the other operations with isomorphous mathematical models as well. Instead of the use of graphical and tabular presentations of the numerical
values of this function (what is common practice in chemical engineering literature) the paper proposes a simple algorithm as an alternative for its evaluation. The algorithm is very efficient and extremely accurate
for entire range of parameters of interest.
PUBLISHED ONLINE: 2020-09-27
THERMAL SCIENCE YEAR
1997, VOLUME
1, ISSUE
Issue 1, PAGES [109 - 116]
- Anzelius, A., Über Erwärmung vermittels durchströmender Medien, Z. angew. Math. Mech., 6 (1926), pp. 291-294
- Schumann, T. E. W., Heat Transfer: A Liquid Flowing through a Porous Prism, J. Franklin Institute, 208 1929, pp. 405-416,
- Vermeulen, T., Klein, G., Heister, N. K., Section 16 in Chemical Engineers' Handbook (Ed. J. H. Perry). McGraw-Hill, New York, 1973
- Sherwood, T. K., Pigford, R. L., Wilke, C. R., Mass Transfer, McGraw -Hill, New York, 1975
- Liaw, C. H., Wang, J. S. P., Greenkorn, R. A., Chao, K. C., Kinetics of Fixed-Bed Adsorption: A New Solution, AIChE J., 25 (1979), pp. 376-381
- Goldstein, S.,On the Mathematics of Exchange Processes in Fixed Columns: I. Mathematical Solutions and Asymptotic Expansions, Proc. Royal Society, A 219, London, 1953, pp. 151-185
- Klinkerberg, A., Heat Transfer in Cross-Flow Heat Exchangers and Packed Beds, Ind. Eng. Chem., 46 (1954), pp. 2285-2289
- Korol'kov, B. P., Special Functions for Investigation of Transient Heat Transfer, (in Russian), Nauka, Moscow, 1976
- Parl, S., A New Method for Calculating the Generalized Q Function, JEEE Trans. Inform. Theory IT-26, 1980, pp. 121-124
- Rosen, J. B., Kinetics of a Fixed-Bed System for Solid Diffusion into Spherical Particles, J. Chem. Phys., 20 (1952), p. 387 |
- Camp, D. T., Letter to the Editor, AIChE J. 26 (1980), p. 333
- Rice, R. G., Letter to the Editor, AIChE J. 26 (1980), p. 334
- Tien, C., Letter to the Editor, AIChE J. 26 (1980), p. 334
- Heister, N. K., Vermeulen, T., Saturation Performance of lon-Exchange and Adsorption Columns, Chem. Eng. Progress, 48 (1952), pp. 505-516
- Vermeulen, T., Heister, N. K., lon-Exchange Chromatography of Trace Components, Ind. Eng. Chem., 44 (1952), pp. 636-651
- Hougen, O. A., Marshall, Jr., W. R., Adsorption from a Fluid Stream Flowing through a Stationary Granular Bed, Chem. Eng. Progress, 43 (1947), pp. 197-208
- Kast, W., Adsorption aus der Gasphase - Grundlagen und Verfahren, Chem.-Ing.-Tech. 53 (1981), pp. 160-172
- Cooney, D. O., Column Configuration and Performance in Fixed-Bed Ion Exchange Systems, Ind. Eng. Chem. Fundam.., 6 (1967), 1959
- Bird, R. B., Stewart, W. E., Lightfoot, E. N., Transport Phenomena, Wiley, New York, 1960, pp. 702—705
- Thomas, H.C., Chromatography: A Problem in Kinetics, Annals New York Academy of Sciences, 49 (1948), pp. 161-182
- Kyte, W.S., Non-linear Adsorption in Fixed Beds: The Freundlich Isotherm, Chem. Engng Sci., 28 ( 1973), pp. 1853-1856
- Thomas, H. C., Heterogeneous Ion Exchange in Flowing System, J. Amer. Chem. Soc., 66 (1944), pp. 1664-1666
- Carslaw H. S., Jaeger, J. C., Conduction of Heat in Solids, 2nd Edition, Oxford University Press, London, 1959
- Romie, F. E., Periodic Thermal Storage: The Regenerator, Trans. ASME, Journal of Heat Transfer, 101 (1979), pp. 726-731
- Romie, F. E., Transient Response of Gas-to-Gas Crossflow Heat Exchangers with Neither Gas Mixed, Trans. ASME, Journal of Heat Transfer, 105 (1983), pp. 563-570