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Mathematical Model of a Tiny Fluid in Porous Media
Research article
  

Mathematical Model of a Tiny Fluid in Porous Media. Spilled Oil as a Case Study


Adeyinka S. Yusuff and Bashiru A. Yusuf

1. Department of Chemical and Petroleum Engineering, Afe Babalola University, Ado-Ekiti Nigeria.
2. Department of Chemical Engineering, University of Lagos, Akoka Lagos Nigeria.


Corresponding author :

Adeyinka S. Yusuff
Department of Chemical and Petroleum Engineering,
Afe Babalola University, Ado-Ekiti Nigeria,
Email:

Received: January 15, 2014,   Accepted: February 15, 2014,   Published: February 17, 2014..


Abstract:

A dynamic model for the movement of spilled oil through a porous medium was developed. The equation being non-linear partial differential equation and parabolic forms, was thus solved numerically with the adoption of the Crank Nicholson finite difference scheme. A mathematical algorithm to solve this system of equation was developed and implemented into simulation program. The graph of the concentration against axial distance (height), concentration against radial distance at different time were plotted from simulation results obtained which shows decrease in the concentration of solute (contaminant) through the media.


Keywords: Concentration; contaminants; distance; mathematical model; porous media.


Citation:

Adeyinka S. Yusuff(2014) Mathematical Model of a Tiny Fluid in Porous Media. Spilled Oil as a Case Study . J. of Bioprocessing and Chemical Engineering. V1I1. DOI: 10.15297/JBCE.V1I1.06


Copyright:

© 2014 Adeyinka S. Yusuff, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


      
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      Journal of Bioprocessing and Chemical Engineering