EXPERIMENTAL CALCULATIONS :

Permeation data of air

P1 = inlet pressure

P2 = outlet pressure

P = P1-P2 = pressure gauge reading

Viscocity of air at 298K(Pa.s)(Y) = 1.86e-05

Ceramic Membrane Diameter(m) = 0.038

Ceramic Membrane Thickness(m)(T) = 0.004

Ceramic Membrane Area(m2)(S) = .00113354

Temperature=298K

Mean Velocity of air at 298K(m/s)(V) = 467.851

Rotameter correction factor = 1

Membrane support data

 

Pressure (Pas)

Flow rate (m^3/s) (Q)

Q/(A*P)

Permeabilty factor (K) = Q/(A*P)*101325

82737.12 96526.64 110316.16 124105.68 137895.2 151684.72 165474.24 179263.76 193053.28 206842.8 220632.32 234421.84 248211.36 262000.88 275790.4 289579.92 303369.44 317158.96 330948.48 344738 358527.52 372317.04 386106.56 399896.08 413685.6

3.98954E-05 4.65621E-05 5.48954E-05 6.32288E-05 7.15621E-05 8.32288E-05 9.48954E-05 0.000104895 0.000113229 0.000126562 0.000138229 0.000151562 0.000164895 0.000176562 0.000186562 0.000198229 0.000209895 0.000221562 0.000234895 0.000251562 0.000268229 0.000284895 0.000301562 0.000318229 0.000334895

4.24164E-07 4.24499E-07 4.38077E-07 4.48639E-07 4.57088E-07 4.83387E-07 5.05303E-07 5.15646E-07 5.16895E-07 5.39302E-07 5.52245E-07 5.69937E-07 5.85663E-07 5.94122E-07 5.96403E-07 6.03545E-07 6.10038E-07 6.15966E-07 6.25842E-07 6.43459E-07 6.59721E-07 6.74778E-07 6.88759E-07 7.01776E-07 7.13926E-07

0.042978458 0.043012319 0.044388198 0.045458326 0.046314429 0.048979216 0.051199873 0.052247823 0.05237436 0.0546448 0.055956194 0.057748827 0.059342279 0.060199375 0.060430567 0.061154211 0.061812069 0.062412722 0.063413482 0.065198491 0.066846192 0.06837184 0.069788514 0.071107486 0.072338527

 

Now ploting a graph between pressure and permeability factor we have the slope(A) as 1.84e-07

and the intercept (B) as 1.55e-02.

Then average pore radius (R) is calculated using :

 

 = 1.38 E -07 m

And effective porosity is calculated using :

 = 4.62 E -01

Where T is the ceramic membrane thickness =0.004 m