Abstract:
Equations that describe dispersion of a substance in a non-one-dimensional incompressible liquid flow through a plane channel are derived. The model under consideration extends the traditional Taylor model to the case where sources of the substance are present in the flow and relaxation transfer processes are taken into account. Additional conditions for the dispersion equations are obtained. The relation between the proposed model and the Taylor model is analyzed. Based on the equations obtained, the mass transfer between circulation regions in the flow is calculated and a system of cellular-model equations for stagnant cavities is constructed.
Keywords:
dispersion of substance, diffusion (Taylor) model, wave model, heat and mass transfer, relaxation phenomena.
This publication is cited in the following 2 articles:
A. I. Moshinskij, “Description of stationary performance of flow biochemical reactor with diffusion model allowing for mass transfer relaxation”, Math. Models Comput. Simul., 14:1 (2022), 56–66
Andrey A. Moiseev, Andrey V. Savin, AIP Conference Proceedings, 1959, 2018, 050022