Development of mathematical model of cellular suspension freezing process

Authors

DOI:

https://doi.org/10.15587/2313-8416.2017.98978

Keywords:

cell suspension, microbial mass, mathematical modeling, freeze drying, temperature, freezing rate

Abstract

Mathematical modeling of cellular suspension freezing process before freeze drying is considered in this article. Influence of the conditions of technological freezing operation can be evaluated by the distribution of temperatures of the microbial suspension during freezing.

The mathematical model makes it possible to determine the distribution of temperatures during freezing, as well as the freezing rate, depending on the properties of the frozen medium, the conditions for removing heat energy and the geometry of the region in which the process takes place

Author Biographies

Inessa Burtna, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute» Peremohy ave., 37, Kyiv, Ukraine, 03056

PhD, Associate professor

Department of biotechnology and engineering

Zhanna Ostapenko, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute» Peremohy ave., 37, Kyiv, Ukraine, 03056

Department of biotechnology and engineering

Lyudmila Ruzhinska, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute» Peremohy ave., 37, Kyiv, Ukraine, 03056

PhD, Associate professor

Department of biotechnology and engineering

References

Karpov, A. M., Ulumyev, A. A. (1982). Sushka produktov mikrobiologicheskogo sinteza. Moscow: Light and food industry, 216.

Bogdanov, S. N., Buchko, N. A., Guygo, E. I. et. al.; Guygo, E. I. (Ed.) (1986). Moscow: Agropromizdat, 320.

Gavrilov, V. P. (1977). Phisiko-himicheskie svoystva vnutri vnecletochnyh sred pri nizkih temperaturah. Biophizika, 22 (3), 544.

Androsov, V. V., Klyuchkina, T. V., Alekseev, N. G. (1982). Opredelenie evtekticheskih temperature sublimiruemuh materialov. Himiya i himicheskaya tehnologia, 5 (9), 1158–1159.

Wong, H. (1979). Osnovnye formuly i dannie po teploobmenu dlya inzhenerov. Moscow: Atomizdat, 216.

Kutaladze, S. S. (1990). Teploperedachya i gidrodynamycheskoe soprotyvlenye. Moscow: Energoizdat, 367.

Kutaladze, S. S. (1979). Osnovy teorii teploobmena. Moscow: Atomizdat, 367.

Leontyev, A. I. (Ed.) (1979). Teoriya teplomassoobmena. Moscow: Vyshaya shkola, 495.

Lykov, A. B. (1967). Teoriya teploprovodnosty. Moscow: Vyshaya shkola, 599.

Samarsky, A. A. (1977). Teoriya raznostnyh shem. Moscow: Nauka, 656.

Published

2017-04-21

Issue

Section

Technical Sciences