Calculate Overflow Rate w/ Interpolation: BOD Removal 80%

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To calculate the overflow rate for 80% BOD removal, interpolation is necessary since the provided table does not include this value. The existing data points indicate a trend, but the extrapolation beyond the highest percentage (37.5%) requires careful estimation. The user seeks guidance on how to perform interpolation effectively to derive the overflow rate corresponding to 80% BOD removal. Understanding the method of interpolation will be crucial for accurate calculations in this context. Accurate results are essential for determining the dimensions of the sedimentation tank needed for the treatment plant.
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Interpolation ?

A treatment plant consists of a primary sedimentation tank followed by a trickling filter that removes 80% of the influent BOD. The flow is then directed to a constructed marsh system that has an influent target BOD concentration of 30 mg/l before being discharged to a small stream.

Using the following table of % BOD removal to overflow rate and calculate the dimensions of a circular sedimentation tank suitable for the imposed flow with a detention time of 1.5 hours. Assume BOD and flow of wastewater entering the plant to be 214.245 mg/l and 848 kL/day.
BOD Removal % 22.0 31.5 33.5 35.5 36.5 37.5
Overflow rate m3/m2/day 100 50 40 30 25 20

How do I find the value of overflow rate when the BOD removal percentage is 80% from this table?
Do I use interpolation ? I'm not sure on how to use interpolation.

Thanks Stacy.
 
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hi stac
2 questions
- first, do you have any ideas how to do it?
- 2nd are you sure its 80% BOD removal? this is a very large extrapolation of the table... could it be calculate BOD rate by interpolating from a given overflow rate?
 


I know how to answer the question, just not how to find the overflow rate at 80% BOD.
The question is exactly what I have written so i have to find the overflow rate at 80% BOD.
Thanks Stacy
 

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