There is a good information in Malavasi et al., "On the pressure losses through perforated plates", Flow Measurement and Instrumentation 28 (2012), DOI: 10.1016/j.flowmeasinst.2012.07.006
May be there is interesting information at this handbook: tp://www.qualityperf.com/media/ipa.pdf
I found the link below, that is an online calculator (I cannot guarantee that it runs ok!)
There is a good information in Malavasi et al., "On the pressure losses through perforated plates", Flow Measurement and Instrumentation 28 (2012), DOI: 10.1016/j.flowmeasinst.2012.07.006
May be there is interesting information at this handbook: tp://www.qualityperf.com/media/ipa.pdf
I found the link below, that is an online calculator (I cannot guarantee that it runs ok!)
I am not in this field but your question is interesting . I would suggest based on some other experience , if you want to develop a formula the following for consideration:
1. Specify the fluid esp compressible/ incompressible (if gas use gas law as approx)
2. Mach number ? above or below when shock waves occur
3.identify turbulent or smooth flow at each perforation (Reynolds number)
and then sum . If liquid perhaps there is an orifice effect and formulas are available for this. Actually modelling a single perforation properly would be enough .
4. Experimentation using Bernoulli may also be tried to obtain perhaps rough desin factors.
If you don't find an article on approproate measured data, you might think on estimating the pressure drop for a single hole, as it is done for orifice flows. Take correction numbers for flow contraction into account (you'll find hints in each proper book on aerodynamics of pipe flows etc., perhaps 0.6 to 0.7 for holes with sharp edges, 0.90 to 0.95 for smooth roundes hole ...). Finally, add the flow for all orifices and iterate the solution you are looking for.