Radial flow through a porous medium (Fig 4C 4), a fluid flows through a porous cylindrical shell with inner and outer radii R 1 and R 2 , respectively At these surfaces, the pressures are known to be P 1 and P 2 , respectively The length of the cylindrical shell is h (a) Find the pressure distribut...

Radial flow through a porous medium a For the radial flow in cylindrical coo ...

Radial flow through a porous medium (Fig. 4C.4), a fluid flows through a porous cylindrical shell with

Question:

Radial flow through a porous medium (Fig. 4C.4), a fluid flows through a porous cylindrical shell with inner and outer radii R₁ and R₂, respectively. At these surfaces, the pressures are known to be P₁ and P₂, respectively. The length of the cylindrical shell is h.

(a) Find the pressure distribution, radial flow velocity, and mass rate of flow for an incompressible fluid.

(b) Rework (a) for a compressible liquid and for an ideal gas.

Porous medium Fluid R1 w = mass rate of flow Pressure p2 Pressure p1