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Question marks ) a . Starting with the Carmen - Kozeny equation: u o = 1 A d V d t = 1 K '
Question marks
a Starting with the CarmenKozeny equation:
Equation
derive the basic filtration equation:
Equation
Explain why the Carmen Kozeny equation is an appropriate starting point and what assumptions
are made by using it Define all the symbols used.
b You need to specify filtration equipment for the dewatering of a slurry. You have been requested
to do some test work in the laboratory to characterise its suspension and cake characteristics first.
The equipment that you have available runs as a deadend filter ie the cake builds up through
the process with a constant pressure applied across it The filtration area has a diameter of
You find it operates well when you apply a pressure difference of kPa across it
The solids density is and the density of the liquid phase suspending it is
The viscosity was measured as mPa The suspension has a solids concentration of
Your colleague, who has done similar tests previously, suggested that the voidage of the cake is
and the resistance of the filter medium may equate to of cake thickness.
Table : You collect the following data:
i Determine the volume of cake formed per volume of filtrate,
ii Determine the specific resistance,
iii. How would you confirm that the voidage you are using is an appropriate value?
iv Do you have confidence in the L value given? Justify your answer.
v When designing your large scale filtration equipment, the cake depth used is an
important consideration. Discuss the impact of cake depth on the size and operating
variables.
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