Parallel Pipeline: Pressure Flow Direction?

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In a parallel pipeline system, water will flow from the main pipe at 100 psi toward the three branching pipes, each at 50 psi. The pressure difference indicates that water will accelerate from the higher pressure in the main pipe to the lower pressure in the branches. Since the three pipes do not reconnect, the flow direction remains consistent toward the branches. The principle of fluid dynamics confirms that water moves from high to low pressure in horizontal pipes. Therefore, the water will flow into the three additional pipes.
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If we have a main pipe and it branches to 3 new pipes, but those 3 pipes don't connect back. Let's say that the pressure in the main pipe is 100psi (water wants to move to the right through 3 additional pipes) and the pressure at the end of each of three other pipes is 50 psi (water wants to go to the left toward the main pipe). Can we know which way the water will flow?
 
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In horizontal pipes (i.e. ignoring gravity), water will accelerate from a high pressure region toward a low pressure region.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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