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Calculating flow through (heating water) coil given only pressure drop and coil measurements 1

Mark_B

Mechanical
Jan 21, 2024
17
I have a Titus DESV-06 with a single-row heating water coil and would like to be able to calculate flow rate in real time using information supplied by two Dwyer pressure transducers (one at inlet, one at outlet). I was not able to locate a manufacturer table. I will attempt to get the information from Titus, and remain hopeful someone here can supply it, but in the mean time would like to learn about the calculation.

I was reading through a thread here where I came across a specific method of calculation posted by user 25362:

"Professor Lydersen (Fluid flow and heat transfer-Wiley) states that you may use the usual friction drop formula with its [±]10-15% accuracy. He says that the friction factors can be obtained from Srinivasan, Nandapurkar and Holland: Friction factors for coils, Trans. Instn. Chem. Engrs., 48, T156-T161 (1970)."


This seems to be for a different type of coil, and not to apply to my Titus VAV coil, which I believe is single inlet but not helical. Is there a method of mathematical calculation for mine? Or do I need to cough up $500 for a flow meter, or fill a bunch of marked buckets at different rates and take notes?
 
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The best way, of course, is to get real flow data on your installation (coil, pipe, and fittings - entire system). Then, provide a calculation methodology or a Look-up table or something.

Crane TP410 has a calculation method for coils too. Coils come in all kinds of shapes and sizes. You'll have to look at TP410 and see if it's applicable to your coils.
 
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Or surf over to the manufacturer's website and look for data. Like this:


which shows tables of flow vs. pressure drop for various sizes of coils.

That was found at the page for your Titus DESV-06, under the "Performance" tab, where it lists "ESV Hot Water Coil Data":
 
Or surf over to the manufacturer's website and look for data. Like this:


which shows tables of flow vs. pressure drop for various sizes of coils.

That was found at the page for your Titus DESV-06, under the "Performance" tab, where it lists "ESV Hot Water Coil Data":
Doh! I looked right at it and didn't catch that. Thank you.

I am still interested in learning if there is some mathematical/geometrical method for the sake of learning. Will look into the Crane TP410 referenced above.
 
You can also get the relationship between flow and pressure drop using a temporary flow meter(ultrasonic will be convenient) and, of course, the pressure transducers you already have.
 
Do you have a sketch of the coil arrangement in this DESV- 06? - I dont see it on the DESV website
 
Hi,
Consider the document attached to support your work.
Use the Darcy Weisbach equation with the appropriate f factor for coil as described in the documents underneath.
Iterative calculation on Re number for example.
Note: agree with George about scale formation, very common at my place.
Good luck
Pierre
 

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How about a 5gal bucket and a stopwatch.
Record the time and the pressures.
It will give you real data point to use to adjust the mfg data.
 
My coil is 3/8" tube, but I am connecting with 1/2". To accurately measure pressure drop across the coil, I assume I will need to connect my transducer directly to 3/8" tube to get accurate pressure drop across the coil itself and not also be measuring the reducer etc?
 
My coil is 3/8" tube, but I am connecting with 1/2". To accurately measure pressure drop across the coil, I assume I will need to connect my transducer directly to 3/8" tube to get accurate pressure drop across the coil itself and not also be measuring the reducer etc?
Who cares, right? Once you get your system built with the transducers in place, get the system data and develop your flow correlation. Then, the details and intricacies of your system are baked into the data and your flow correlation.
 
Who cares, right? Once you get your system built with the transducers in place, get the system data and develop your flow correlation. Then, the details and intricacies of your system are baked into the data and your flow correlation.
I meant if I want to use the manufacturer Head loss vs GPM data (which was apparently in the table I was reading all along). Your point is taken, though.
 
Using a single diff press transmitter reading dp of the coil will give you better results than with 2 PTs'.
For drawn tubing, suggest the Blasius equation for smooth tubing - see Perry
 
Attached a set of correlations for friction factor applicable for coil, with calculations.
Check with your data.
Hope this is going to help you.
Of course, bucket + stopwatch will validate the model, more accurate result using delta P measurement Vs 2 Pressure gauges.
All instruments must be calibrated prior to use.
Good luck
Pierre
 

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Crane works, at least to build a model and correlate to changes from what you've tested. Even works for rocket engines and LOX. Every contraction/expansion makes a contribution too. I am a valve designer, and use the K value method all the time...with success, usually ;)

Bucket and stopwatch method: calibrate your bucket with a known beaker/gallon measure (edit: I've found some buckets that aren't quite 5 gallons to the brim, and ones that are more like 6 gallons to the brim). But yeah, even us valve manufacturers use a volumetric method as a sanity check, and leak rates are almost always done with volumetric methods.
 

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