For cake filtration, the instantaneous filtrate rate is directly proportional to which parameters and inversely proportional to which resistance/viscosity terms?
Chemical Engineering
Mechanical Operations
Difficulty: Easy
Choose an option
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AFiltering surface area S
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BInverse of specific cake resistance (1/R)
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CInverse of filtrate viscosity (1/μ)
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DAll of the above
Answer
Correct Answer: All of the above
Explanation
Introduction / Context:Filtration equations show how flow depends on driving force, medium/cake resistances, fluid viscosity, and area. Understanding proportionalities aids in debottlenecking and scale-up.
Concept / Approach:For a given pressure drop, superficial flux is proportional to area and inversely proportional to total hydraulic resistance and viscosity. Hence, higher S increases throughput, while higher R or μ reduces it.
Step-by-Step Solution:Identify variables: S, R, μ under constant ΔP.Rate ∝ S and ∝ 1/R and ∝ 1/μ.Therefore, all listed statements are correct.
Final Answer:All of the above