Drying Curve Equation and Drying Time of Wet Materials
https://doi.org/10.21122/2227-1031-2025-24-6-496-503
Abstract
Zonal methods for calculating drying time, based on graphical differentiation of the drying curve, are presented. An analysis of drying time calculation based on the drying rate curve is given using the methods of A. V. Lykov, V. V. Kras nikov, S. M. Smirnov, B. S. Sazhin, and P. S. Kuts. The methods for calculating the drying time based on the relative drying rate without using the drying rate curve are considered. A generalized dimensionless drying curve as a function of the genera lized drying time is given based on the method of generalized drying curves of G. K. Filonenko and V. V. Krasnikov. Possible methods for approximating the equation of a generalized drying curve by hyperbolic, power, and exponential dependencies are considered. The necessary conditions are given for determining the suitability of these dependencies for describing the equations of the drying curves and deriving the equations. Equations of the drying curve are obtained from these dependencies and formulas are given for calculating the drying time for the processes of drying ceramics, asbestos, and felt. Based on the dependence of the complex variable of the relative drying rate on the ratio of the current to the initial moisture content, for the processes of drying ceramics, asbestos, and felt, equations are given for calculating the drying time. The methods for expres sing the drying curve in the form of dependencies of relative moisture content on the generalized drying time are considered. Methods for calculating the drying time based on the relative drying rate are presented. Based on the dependence of the rela tive drying rate on the dimensionless moisture content, approximate methods for determining the critical moisture content of the material are given. The reliability of the obtained equations is checked and the calculated values are compared with the experiment. The calculation error is within the range of experimental accuracy.
About the Authors
A. I. Ol’shanskiiBelarus
Vitebsk
S. V. Zhernosek
Belarus
Address for correspondence:
Zhernosek Sergei V.
Vitebsk State Technological University
72, Moskovsky Ave.,
220035, Vitebsk,
Republic of Belarus
Tel.: +375 29 112-79-25
А. M. Gusarov
Belarus
Vitebsk
References
1. Lykov A. V. (1968) Drying Theory. Moscow, Energiya Publ. 472 (in Russian).
2. Akulich P. V. (2010) Calculations of Drying and Heat Exchange Installations. Minsk, Belorusskaya Nauka Publ. 443 (in Russian).
3. Krasnikov V. V. (1973) Conductive Drying. Moscow, Energiya Publ. 288 (in Russian).
4. Sazhin B. S., Sazhin V. B. (1997) Scientific Basics of Drying Technology. Moscow, Nauka Publ. 447 (in Russian).
5. Rudobashta S. P. (2015) Thermal Engineering. 2nd Ed. Moscow, Pero Publ. 672 (in Russian).
6. Kuts P. S., Ol’shanskii A. I. (1977) Some features of heat and moisture transfer and approximate methods of calcu lating the drying kinetics of moist materials. Journal of Engineering Physics, 32 (6), 650–656. https://doi.org/10.1007/bf00862568.
7. Vasiliev V. N. Kutsakova V. E., Frolov S. V. (2013) Dry ing Technology. Fundamentals of Heat and Mass Ttrans fer. St. Petersburg, GIORD Publ. 222 (in Russian).
8. Filonenko G. K., Lebedev P. D. (1952) Drying Plants. Moscow, Energoizdat Publ. 263 (in Russian).
9. Zhuchkov P. A. (1963) Special Course of Lectures on Calculation of Heat and Mass Transfer in Drying and Combustion Processes. Leningrad. 322 (in Russian).
10. Ol’shanskii A. I. (1977) Some Regularities of Drying Kinetics of Food Products. Izvestiya Vysshikh Uchebnykh Zavedeniy. Pishchevaya Tekhnologiya = Izvesyiya vuzov. Food Technology, (5), 97–107 (in Russian).
11. Ol’shanskii A. I., Golubev A. N. (2023) Investigation of the Kinetics of Heat and Moisture Exchange during Heat Treatment and Drying of Thin Wet Thermal Insulation Materials. Energetika. Izvestiya Vysshikh Uchebnykh Zavedenii i Energeticheskikh Ob’edinenii SNG = Energe tika. Proceedings of CIS Higher Education Institutions and Power Engineering Associations, 66 (1), 66–79. https://doi.org/10.21122/1029-7448-2023-66-1-66-79 (in Russian).
12. Ol’shanskii A. I., Golubev A. N. (2024) Generalized Complex Variables of Drying Kinetics in Calculations of Drying Duration of Flat Thin Wet Materials. Energetika. Izvestiya Vysshikh Uchebnykh Zavedenii i Energetiche skikh Ob’edinenii SNG = Energetika. Proceedings of CIS Higher Education Institutions and Power Engineering Associations, 67 (4), 363–376. https://doi.org/10.21122/1029-7448-2024-67-4-363-376 (in Russian).
13. Ol’shanskii A. I. (2016). Investigation of the Drying of Thin Materials with the use of Generalized Complex Variables. Journal of Engineering Physics and Thermophysics, 89 (4), 886–895. https://doi.org/10.1007/s10891-016-1450-4.
14. Demidovich B. P., Shuvalova E. Z. (1967) Numerical Methods of Analysis: Approximation of Functions, Dif ferential and Integral Equations. 3rd Ed. Moscow, Nauka Publ. 368 (in Russian).
15. Lykov A. V. (1956) Heat and Mass Transfer in Drying Pro cesses. Moscow, Gosenergoizdat Publ. 462 (in Russian).
16. Ol’shanskii, A. I., & Golubev, A. N. (2024). Kinetics of Moisture Exchange During Convection Drying of thin Flat Wet Materials. Vestsi Natsyyanal’nai akademii navuk Belarusi. Seryya fizika-tekhnichnykh navuk = Proceedings of the National Academy of Sciences of Belarus. Physical Technical Series, 69(3), 206–214. https://doi.org/10.29235/1561-8358-2024-69-3-206-214 (in Russian).
17. Mikheeva N. S. (1956) Study of the Drying Mechanism of Wet Materials. Teplo i massoobmen v pishchevykh produktakh: sb. st. Trudy MTIPP, Vyp. 6. [Teplo i mas soobmen v pishchevykh produktakh: sb. st. Trudy Mos cow Institute of Food Science and Technology, Iss. 6. Moscow: Pishchepromizdat Publ., 64–77 (in Russian).
Review
For citations:
Ol’shanskii A.I., Zhernosek S.V., Gusarov А.M. Drying Curve Equation and Drying Time of Wet Materials. Science & Technique. 2025;24(6):496-503. (In Russ.) https://doi.org/10.21122/2227-1031-2025-24-6-496-503
JATS XML




























