droplet breakdown analysis inside porous media at different porosities, using lbm

In present research, the interaction between single liquid droplet with particles inside a porous media is investigated numerically in two dimensions. the he’s model is used to simulate two phase flow and multiple relaxation time collision operator is implemented to increase numerical stability. simulations have performed in three non-dimensional body forces of 0.000108, 0.000144, 0.000180, porosity values of 0.75, 0.8, 0.85 and ohnesorge range of 0.19-0.76. in the range of investigated non-dimensional parameters, two distinct physics of droplet trapping and break up have observed. the related results revels that for every values of investigated non-dimensional body forces and porosity, there is a critical ohnesorge number that droplet breaks up occurs for larger values. this critical value decreases as non-dimensional body force and porosity increases. based on these results, a droplet trapping or break up behavioral diagram is drown with respect to the investigated density ratio, ohnsorge, reynolds and capilary numbers.