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Flow through porous media -I
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     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 :

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨bold¨»R«/mi»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«mo».«/mo»«mn»33«/mn»«mo»§nbsp;«/mo»«mi mathvariant=¨bold¨»A«/mi»«mo»§nbsp;«/mo»«mi mathvariant=¨bold¨»V«/mi»«mo»§nbsp;«/mo»«mi mathvariant=¨bold¨»Y«/mi»«/mrow»«mi mathvariant=¨bold¨»B«/mi»«/mfrac»«/math»

 = 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

 

 

 

 

 

 

 

 

 

 

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