Determining Pressure Needs Throughout A Rocket Engine?

[Pegabug]

This question has been bugging me for almost a month now and no matter how much I research or ask around (reddit, engineering forums) I can't find an answer that makes sense to me. This is a multi-part question so I will divide it into labeled sections to help with read-ability.

Section 1: Fluid behavior in a pipe

One of the biggest concepts I am struggling to grasp is how the fluid, namely fuel like liquid Methane, will flow in the plumbing of the rocket engine. I understand that it is critical for the turbopump impeller to not have vapor bubble formation, which an inducer helps reduce the chance along with designing it around the point where cavitation begins to occur in the liquid. Exiting, it will be pumped through valves, tubing, cooling channels, etc and end up at the injector manifold and end up in the thrust chamber. But what I don't understand is, will the pipe have a full flow? Or will it be like a partly filled pipe that sloshes around? How do you determine this? Furthermore, what happens if you have a valve to throttle the system at say before the turbopump or after it?

Section 2: Needed pressures/velocity

Building off the section 1's problems, I am confused on the pressure requirements throughout the rocket engine. Say you have a tank pressure of 0.4 MPa and a chamber pressure of 4.83 MPa, and a flow rate of fuel of 7 kg/s. In order to perform thermal analysis on cooling channels, you will need the pressure they will have. How do you determine this pressure? How does this relate to the pressure in the channel delivering the fuel to all the channels? What about the turbopump exit pressure? How does this relate to the turbopumps head?

Unfortunately I have been struggling to find answers to these questions and most example problems on rocket engine design in textbooks are quite lacking. I will admit my fluid dynamics is lacking since I have not taken a course in it yet and my knowledge is a bit scattered for it. Any help on understanding this complex topic is greatly appreciated!

[dondar]

Take course in fluid dynamics (and preferably good of Physics department. Engineering courses tend to have patches and big knowledge holes). Learn about one dimensional laminar flow.

[Jim]

But what I don't understand is, will the pipe have a full flow?

Always

[Jim]

This is ITAR information

[Asteroza]

This is ITAR information

Which means Jim and other americans can not help you answer your question specifically. ITAR restrictions include not only physical dual-use goods, but also information export.

Perhaps you should ask in the the Q&A section of this forum?
https://forum.nasaspaceflight.com/index.php?board=36.0