Solute transport with nonlinear adsorption occurs in many situations involving inorganic chemical and metal contamination in soil and groundwater systems. The resulting isotherms can be highly nonlinear, and numerical solutions of the transport equation can encounter severe convergence difficulties. An analytical solution is developed for simulating one-dimensional transport in the layered soil...

In this paper a new analytical method for solving the truly (pure) non-linear differential equation with slow-time variable parameter is developed. The method is based on the solution of the corresponding differential equation with a constant parameter, where the exact frequency of vibration is introduced. The approximate solution of the differential equation with time variable parameter is ass...

This paper tries to achieve a solution for problems that concern condensation around a flat plate, circular and elliptical tube in by numerical and analytical methods. Also, it calculates entropy production rates. At first, a problem was solved with mesh dynamic and rational assumptions; next it was compared with the numerical solution that the result had acceptable errors. An additional suppor...