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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2021 Volume 33, Number 6, Pages 88–106 (Mi mm4297)

Description of stationary performance of flow biochemical reactor with diffusion model allowing for mass transfer relaxation

A. I. Moshinskij

Saint-Petersburg State Chemical Pharmaceutical University

Abstract: Non-linear boundary value problem describing performance of biochemical reactor allowing for mass transfer relaxation is considered. Logistical law is accepted as a source of substance. Non-trivial solutions under homogenous boundary conditions are found. Limiting form model for relaxation equations is taken as a basis for analysis. Change in reactor performance mode is analyzed upon availability of two solutions to the model equations.

Keywords: reactor, stability, logistical law, Peclet number, convective transfer.

Received: 30.10.2020
Revised: 30.10.2020
Accepted: 19.04.2021

DOI: 10.20948/mm-2021-06-07


 English version:
Mathematical Models and Computer Simulations, 2022, 14:1, 56–66


© Steklov Math. Inst. of RAS, 2026