Derive the expression to calculate the volumetric flow rate from a porous media using Darcy Equation for radial and parallel flow system. Hence drive the expression to calculate the average permeability for following conditions

1) Radial flow, n parallel beds i.e. prove,

2) Radial now, n series beds i.e. prove,

3) Linear flow, n parallel beds i.e. prove,

4) Linear flow, n series beds i.e. prove,

', (=1 ht Kav Ln() Ln(; E1 5 VO K n 1 'hiki =1 ht LL _, ' 14/Kt