What is happening in this fluid dynamics problem and how can we approach it?

[Anonymous____1]

Homework Statement

Problem:

https://imgur.com/a/ppDy6

Calculate the fluid speed at a certain point

Given fluid and sound speed before the point

Length of the conduct

2. Useful Equations:

Uniformly accelerated motion(my solution)

I have been studying this problem it for some time, have consulted the resources of the subject, teachers in and out of my university, asked friends, and none of them knew how to solve it or give me an starting point.

I know its related to shock waves but i don't know how to solve it with the little information given, i have tried to solve it on a different way by:

• Using the information given about the lineal evolution of the speed
• Guessing the acceleration is constant
• Writing the position and velocity equations of movement
• Making the derivative to obtain the instant velocity
• Calculate it for the intervals stated,

Both the problem and this solution doesn't fit within the course materials(dynamic fluids ampliation), so, i don't know if this is a valid approach. If you could give me some resources to learn and find the answer or some information about how i can approach it i will really appreciate it.

Thank you

 

[Nidum]

If we can understand the physics of this problem then probably getting the actual solution won't be too difficult . The scanty information and poor English of the problem statement doesn't help us much so we'll have to try to work things out for ourselves .

Let's hear from you first - What do you think is actually happening in that conduit ? What physical events are occurring ?