Author:
Adedire Oludare,J. N. Ndam
Abstract
In this research work, we investigate the concentration profiles in the single and the interconnected multiple-compartment systems with sieve partitions for the transport of chemical species with second order chemical reaction kinetics. With assumption of unidirectional transport of chemical species and constant physical properties with same equilibrium contant, the developed partial differential equations representing the two systems are spatially discretized using the Method of Lines (MOL) technique and the resulting semi-discrete system of ODEs are solved using MATLAB ode15s solver. The results show that the interconnected multiple-compartment system has lower concentration profile than the single-compartment system for different values of diffusivities.
Publisher
Nigerian Society of Physical Sciences
Reference15 articles.
1. Adedire, O., Ndam, J. N. (2019). Mathematical modeling of chlorine decay through water and intermediate pseudomonas aeruginosa in multiple-compartment isothermal reactor. Journal of Advanced Mathematical Models and Applications, 4(2), 167-178.
2. Chepurniy, N., Savage, S. B.(1975). Effect of diffusion on concentration profiles in a solar pond Journal of solar energy, 17, 203-205, doi: 10.1016/0038-092x(75)90061-4
3. Critelli, R.A.J., Bertotti, M., Torresi, R. M. (2018). Probe effects on concentration profiles in the diffusion layer: Computational modeling and near-surface pH measurements using microelec- trodes. Journal of electrochemical acta, 511-521, doi: 10.1016/j.electacta.2018.09.157
4. Gǎiseanu, F. (1983). On the diffusion profile of boron in silicon at high concentrations. Journal of physical state solid, 77, 51-61, doi: 10.1002/pssa.2210770164
5. Kreiss,H.,andLorenz,J.(1989).Initial-boundary valueproblems and the Navier-StokesEquation. San Diego: Academic Press, Inc.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献