Journal of Advanced Research in Fluid Mechanics and Thermal Sciences

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences

	Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
	Journal homepage: https://semarakilmu.com.my/journals/index.php/fluid_mechanics_thermal_sciences/index ISSN: 2289-7879

Solute Transport With Non-Equilibrium Adsorption In A Non-Homogeneous Porous Medium

B. Kh. Khuzhayorov¹, T. O. Dzhiyanov^2,1 , M.Zokirov³

1. 
   ¹Professor, Department of Mathematical modelling, Samarkand State University, Samarkand, Uzbekistan
   
2. 
   ²PhD, Department of Mathematical modelling, Samarkand State University, Samarkand, Uzbekistan
   
3. 
   ³Assitant, Department of Mathematical modelling, Samarkand State University, Samarkand, Uzbekistan
   

ARTICLE INFO

ABSTRACT

Keywords Adsorption, approximation, fractional derivative, porous media, retardation factor, transit zone.

In the paper a solute transport problem with non-equilibrium adsorption in a non-homogeneous porous medium consisting of two zones, one with high permeability (transit zone) and another one with low permeable (immobile liquid zone) is considered. Each zones reprezents. In the transit zone there are two sites in both of which adsorption of solute with reversible kinetics ocurs. The presence of the second zone is modelled through a source (sink) term in the fractional derivative form with respect to concentration in the first zone. Comparision of results with results of known, traditional approaches is made. By relevant choose of the sink term parameters close results to that of know bi-continual models can be obtained.