Theoretical equation of gas desorption of particle coal under the non-uniform pressure condition and its analytical solution

Based on the second Fick’s law, the theoretical equation of gas desorption of particle coal under the non-uniform pressure condition was developed in this paper. The analytical solution of the theoretical equation and the method of gas desorption quantity of particle coal under non-uniform pressure condition were obtained.

► The theoretical equation of gas desorption of particle coal under the non-uniform pressure condition was developed.
► The solution of the theoretical equation and the gas desorption of particle coal under non-uniform pressure were obtained.
► The desorption rate related to the initial concentration, diffusion coefficient, dimensions and external pressure variation.