A Solution of One-dimensional Advection-diffusion equation for Concentration Distribution in fluid flow through Porous Media by Homotopy Analysis Method
نویسندگان
چکیده
The governing equation of longitudinal dispersion phenomenon of one-dimensional concentration distribution in fluid flow through porous media has been obtained in term of one-dimensional non-linear advection-diffusion equation. This equation has been converted in term of dimensionless non-linear Burger's equation with its derivative, and it is multiplied by small parameter 0,1 . This equation has been solved using Homotopy analysis method with appropriate initial and boundary condition and it is concluded that the concentration distribution of miscible fluids (i.e. contaminated or salt water with fresh water) decreases for given value of X and T > 0. the graphical and numerical presentation is derived using Maple coding.
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