Flow Through Pipe in Accelerated Body

If the device that is supplying the flow is travelling with the pipe, then there will be negligible effect unless the pipe is approaching the speed of light.

If the device supplying the flow is not travelling with the pipe, then one has a non-real-world device.

Assuming that you know how to do all the calculations for a given force (F_old) in a non accelerating pipe, then:

F_new = F_old - ma

Where m is the mass of the liquid in the pipe.

Indeed, you now have a situation not unlike pumping water from a low tank to a higher tank only the acceleration and resulting force is in the horizontal direction.

OP, do you need to take into account that gravity is still working on your system?

Sir,

I'l explain bit more.

I've two tanks in aircraft and transferring fuel from Tank 1 at higher pressure to tank 2 at atmospheric pressure. If my aircraft accelerate as shown in figure, then my flow rate will decrease for the same air pressure in tank 1.

Please, if not come across the situation, don't think that it is not possible and don't give unnecessary comments which spoils the discussion.

If the pipe remains connected and the planes and the pipe accelerate at the same rate, there will be no change in fluid flow.

If one of the planes accelerates at a different rate to the other, then the pipe will break, at which point there will be increased flow from the plane pumping the fuel and no flow at the plane receiving fuel, assuming both planes survive the experience. What happens in the pipe depends on where it breaks.

Er ... how many aircraft are involved?

What does your instructor say?

Common! This is for the new Kingdom of Michigan Airforce Airial Refueling system and therefore a highly sophisticated military research. It is by no means homework.

What you say?

It looks like homework to me. Think instead of a level pipe with ball bearings sitting inside it, at rest, when it accelerates. Now consider the case where the ball bearings are in forward motion. The result for both is given by Randall's equation in #5, above.

If there were air bubbles in the line, which way would they travel?

Oversimplified scheme:

Express the acceleration in g's, add vectorially to the vertical acceleration from gravity to get a combined static head, add/subtract pressure differential to get a total head, and finally use pipe flow data to get a flow rate.

Sir,

Thank you for your reply. I also got some material on this which i've attached below.

If any doubt, i'l come back to you sir.

Could you please tell from which book did you get this material from ?

Thank you.