I had a similar situation a while ago. It requires an iterative calculation, because the pressure profile is continuously changing in time. Consider the following:
- To control the flow, you will need a valve; for the calculation I assumed a 2" globe valve with Cv = 48
- As Littleinch has...
Your question: is the flow capacity of full open globe valve calculated above correct?
As a reference I used this CV sizing spreadsheet: https://sitepad1.wordpress.com/ -> select "Control Valve" (see the screenshot attached to this post)
Conclusion: yes, your calculation is correct, I arrived at...
You can use this spreadsheet which calculates average density in a two-phase flow: https://sitepad1.wordpress.com/ -> select "Pressure Loss of Two Phase Flow in Circular Rough Piping"