When you talk about porosity and permeability then you must understand the difference between them.ideally both are different things a highly porous material may not at all permeable however a permeable solid is always porous.

Porous means that the structure have some vacant volumes it between the overall extent of the material. The ideal density of a material is always more than its porous sample.

A permeable sample have interconnected pores through which the liquid will flow.(for more information on flow through porous media you must refer Darcy law).the flow inside a permeable media depends on the pressure difference, density of fluid, Pore sizing and the surface tension between the fluid and the solid material ie Foam.

When you talk about porosity and permeability then you must understand the difference between them.ideally both are different things a highly porous material may not at all permeable however a permeable solid is always porous.

Porous means that the structure have some vacant volumes it between the overall extent of the material. The ideal density of a material is always more than its porous sample.

A permeable sample have interconnected pores through which the liquid will flow.(for more information on flow through porous media you must refer Darcy law).the flow inside a permeable media depends on the pressure difference, density of fluid, Pore sizing and the surface tension between the fluid and the solid material ie Foam.

Well, confirming the answer by Mr Vikash Kumar Singh Chauhan

V = [ C d2 ρ g /μ] dh/dl …….1 V = K dh/dl…….2 K =[ (Cd2 ρ g) /μ] ……3 k=Cd2 .....4 K=( k ρ g) /μ C; Constant of porous media k; specific or intrinsic permeability K; hydraulic conductivity μ; viscosity

ρ ; density of water g; gravity d ; grains radius

Sincerely

The best way to monitor those parameters would be performing an experiment. If you have a flow rate measurement apparatus, you can design / build a channel with a foam inside and attach to that apparatus. Since you know the flow rate in each test, you can obtain a relationship between pressure drop across the foam and velocity in the channel. This information can help you to monitor fluid flow characteristics across the foam. For heat transfer, you will have to perform an extensive experiments with heater and many thermocouples. Please look at the literature, there are many decent papers published on this topic.

Permeability generally depends on porosity in foams because the cell size generally depends on porosity ... It is indeed very common that the higher the porosity, the higher the cell size - this is the usual case for foams.