General equation of velocity along the pipe

AI Thread Summary
The discussion focuses on deriving the general expression for fluid velocity in a pipe that expands from a diameter of 0.5m to 1m over a length of 1m. It emphasizes that fluid velocity decreases as pipe diameter increases, suggesting the use of the continuity equation for calculations. Participants are encouraged to verify the dimensional correctness of their equations. There is a request for clarification regarding the visibility of the working diagram associated with the problem. The conversation highlights the importance of clear communication and accurate calculations in fluid dynamics.
foo9008
Messages
676
Reaction score
4

Homework Statement


A pipe diameter changes from 0.5m to 1m in a length of 1m in a pipe diffuser . If a discharge Q flows from 0.5m diameter towards 1m diamater , obtain the general expression for velocity at the pipe cross section .

Homework Equations

The Attempt at a Solution


since we know that the velocity of fluid in pipe decreases when the size of pipe increases , So , my working is Velocity at the entrance - (difference in velocity between entrance and exit / area of pipe ) , where the area of pipe has the diameter which increases from the entrance ) , i let is as x in my working . Is my working correct ?
 

Attachments

  • 0033.png
    0033.png
    46.5 KB · Views: 458
Physics news on Phys.org
You can simply use equation of continuity.
Check if your equation is dimensionally correct.
 
foo9008 said:

Homework Statement


A pipe diameter changes from 0.5m to 1m in a length of 1m in a pipe diffuser . If a discharge Q flows from 0.5m diameter towards 1m diamater , obtain the general expression for velocity at the pipe cross section .

Homework Equations

The Attempt at a Solution


since we know that the velocity of fluid in pipe decreases when the size of pipe increases , So , my working is Velocity at the entrance - (difference in velocity between entrance and exit / area of pipe ) , where the area of pipe has the diameter which increases from the entrance ) , i let is as x in my working . Is my working correct ?
I just see a diagram. If there is any working associated with it, it is not visible.
 
  • Like
Likes foo9008
SteamKing said:
I just see a diagram. If there is any working associated with it, it is not visible.
sorry , here is it
 

Attachments

  • DSC_0069.JPG
    DSC_0069.JPG
    34.3 KB · Views: 446
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top