You are filtering a beer which contains two species, bacterial
cells of 7x10-4
cm in dia and spore of 0.3x10-4
cm in dia . you have
measured the specific cake resistance of each species:
µαρ ( bacteria) = 1.3x109 kg/sec.m3
; µαρ ( spores) = 2.6x109
kg/sec.m3
; Other experiments shows that for a mixed culture µαρ
= (∑ Фi √ µαρ)2
. where Ф is the fraction of solute i in all solutes.
Your present beer contains half the concentration of bacteria as
spore. How long will it take to filter 850 litres of combined beer
in a filter of negligible medium resistance, pressure drop of 105
N/ m2
and 4.0 m2
area.
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