Constant Pressure Filtration

CONSTANT PRESSURE FILTRATION.XLS Constant pressure filtration readings from vacuum or pressure test cake and cloth resistance follows from equation (2.23)

Filtrate time over volume, s/m^3.

INPUTS ********* ********* ********* Filter area: Liquid viscosity: Liquid density: Solids in slurry weight fraction: Mass of wet cake sample: Mass of dry cake sample: ********* Filtration Filtration Filtrate ********* time pressure Volume ********* ********* (s) (bar) (m^3) ********* 0 3 0 ******* 92 3 0.024 ********* 160 3 0.039 ********* 232 3 0.054 ********* 327 3 0.071 ********* 418 3 0.088 ********* 472 3 0.096 ********* 538 3 0.106 ********* Average: 3 bar

********* ********* 2.72 0.001 1000 0.1 1280 635 ********* ********* Time Pressure over forming volume cake (s/m^3) (Pa) 3833.3333 4102.5641 4296.2963 4605.6338 4750 4916.6667 5075.4717

50295 73977 93557 112013 127440 133856 141235

m^2 Pa s kg/m^3 g g ********* Fitted t/V (s/m^3) 3859.785231 4080.501486 4301.217742 4551.362832 4801.507922 4919.223258 5066.367429

0.12 Filtrate volume, m^3.

6000 5000 4000 3000 2000 1000 0 0

0.05

0.1

Filtrate volume, m^3.

0.15

0.1 0.08 0.06 0.04 0.02 0 0

200 Time, s.

CALCULATED VALUES: ********* ********* ********* Moisture ratio of cake: 2.015748 Dry cake per filtrate volume (equn 2.18): 125.24655 kg/m^3 Filtration pressure: 300000 Pa Cake specific resistance: 5.215E+11 m/kg Cloth resistance: 2.861E+12 m^-1 Cake forming pressure: 134176.96 Pa ********* ********* ********* ********* ********* ********* Regression Output: Constant 3506.6392 X Coefficient(s) 14714.417 R Squared 0.9943521

200

400 Time, s.

600