Orifice Coefficient of Disharge Cd & Head Loss Coefficient K Relationship

[Papabyrd]

Hi All,

Looking though some old calculations for valve sizing and performance for Jet Flow Valve orifice.

There's a formula relating both Coefficient of Discharge Cd and K without taking the Beta factor into account

K=Cd^-2 example (

https://neutrium.net/fluid_flow/discharge-coefficient-for-nozzles-and-orifices/)

According to Frank Whites Fluids book or (

https://eprints.nwisrl.ars.usda.gov/473/1/596.pdf)

The formula should look something more like

K=(1-B^4)/Cd^2

Any ideas?? Looked through all types of reference books and not finding a good reference (Rouse 1950 Eng Hydraulics may have this detail). The beta factor would be 0.80 so it would effect the head loss factor.

Thanks,

 

[Latexman]

Crane TP 410

C = C_d/(1-[Β]⁴)^1/2

K_orifice [≅] (1-[Β]²)/(C²[Β]⁴)

Good luck,
Latexman

To a ChE, the glass is always full - 1/2 air and 1/2 water.

 

[Papabyrd]

Latexman,

Perhaps I'm looking at the wrong TP-410 (1969) & TP-410M(1982). Page# perhaps for the (Korifice ≅ (1-Β2)/(C2Β4))...

Page 19 of this Tullis report says otherwise too!

https://www.osti.gov/servlets/purl/10155405

Thanks,

 

[PEDARRIN2]

My TP-410 is 1988 and the two formulas mentioned by Latexman are on page A-20 for "Flow Coefficient C for Square-Edge Orifices"

 

[Papabyrd]

Found the original book.

Still a bit confusing in chapter 4 what Cd and Cd1

https://kupdf.com/download/hydrauli...ients-0471832855_59f688afe2b6f5762637b14a_pdf

Page 88 and 91 in text