International Journal of Engineering, Science and Mathematics
  • Year: 2019
  • Volume: 8
  • Issue: 5

“Mathematical modeling of adsorption kinetics using film-solid-diffusion model towards evaluation of mass transfer parameters in the context of waste water treatment and effluent treatment and advanced FBC systems for better supporting ecological dynamics”

  • Author:
  • Davidsantosh Christopher1,, G. Kalivarathan2, S. V. Vijayasundaram3, Mebratu Markos4
  • Total Page Count: 12
  • Page Number: 22 to 33

1Associate Professor, Mechanical Engineering, WolaitasodoUniversity, Ethiopia

2Associate Professor, Mechanical Engineering, Woliatasodo University, Ethiopia

3Assistant Professor, Electrical &Computer Engineering, Woliatasodo University, Ethiopia

4Head of the Depatrment, Mechanical Engineering, Woliatasodo University, Ethiopia

*Author correspondence: Dr. David Santosh Christopher, Associate Professor, Mechanical Engineering, WolaitaSodo University, Ethiopia

Online published on 3 December, 2019.

Abstract

The design of adsorption columns for industrial proposes has been based, over last few decays, upon emperial basis. Information gathering to be by a series of bench scale and pilot plant experiments. The data so obtained was emperial and valid for the particular system condition under experimentation, i.e, any deviation in any system variable would lead to widest prediction of the adsorber performance. This approach of obtaingadsorber performance data is tedious and slow as every change in system condition needs a new set of experiments. However, the massive growth of numbers, sizes and diversity of industrial effluents and waste water necessiates a more modern approach-one that has flexibility, speed and versatality to match the growing demands for high quality design.on the otherhand, a new approach must have a sound theoretical foundations that lays a firm background for their analysis and computer aided design, the latter being the main feature of modern industry adsorbtion modelling in the deiscription of the process in terms of mathematical equations. Based on the fundementals of mass transfer and conservation of matter, the partial equations developed are combined with initial and boundary system conditions such that they are solved;they yield a solution equations that has a physical significance. This makes mathematical modelling, a most appropriate approach to consider for providing design information. It is noticed that the information provided by mathematical modelling is only preliminary, yet it is vital design information. Modelling is done on batch processes as these yield accurate information that is “isolated” from the chromatographic and pseudo-equlibrium-effects encountered in column studies. Further to batch modelling, column modelling may be carried out to include the above mentioned effects. In this context, a modest attempt has been made to formulate mathematical modelling of adsorption kinetics using Film-Solid-Diffusion model towards evaluation of mass transfer parameters in the case of waste water treatments and effluent treatments for better ecological dynamics as a viable theoretical model.

Keywords

Adsorption kinetics, Mathematical modeling, Film-solid-diffusion-model, Mass transfer, Waste water-treatment, Ecological dynamics, Chromatographic effects, Psuedo-equibrium effects, Batch modelling, Column studies, FBC/Fludized Bed Combustion