Numerical solution of the Burgers equation associated with the phenomena of longitudinal dispersion depending on time
Calvia Yonti Madie,
Fulbert Kamga Togue,
Paul Woafo
Affiliations
Calvia Yonti Madie
Laboratory for Environmental Modeling and Atmospheric Physics, University of Yaounde 1, P.O. Box 812, Yaounde, Cameroon
Fulbert Kamga Togue
Laboratory for Environmental Modeling and Atmospheric Physics, University of Yaounde 1, P.O. Box 812, Yaounde, Cameroon; Institute of Fisheries and Aquatic Sciences at Yabassi, University of Douala, Box 2701 Douala, Cameroon; Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Department of Physics, Faculty of Science, P.O. Box 812, Yaounde, Cameroon; Corresponding author at: Institute of Fisheries and Aquatic Sciences at Yabassi, University of Douala, Box 2701 Douala, Cameroon.
Paul Woafo
Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Department of Physics, Faculty of Science, P.O. Box 812, Yaounde, Cameroon
In this study, the Burgers equation governing the time-dependent dispersion phenomena is solved numerically using the finite difference scheme and the Runge-Kutta 4 algorithm with appropriate initial and boundary conditions. Two time-dependent dispersion functions have been implemented to analyze the spatio-temporal variation in the domain. For the values of KL and KA < 1.2 years, a significant retention of the mass of solute is observed when the dispersion function is asymptotic. The results obtained show that the concentration profiles are similar when the values of KL and KA ≥ 1.2 years. These results demonstrate the importance of the nature of the dispersion function on the retention capacity of solutes in the porous medium.
