Pressure in a pipe of varying size

  • Thread starter Thread starter 8cd03gro
  • Start date Start date
  • Tags Tags
    Pipe Pressure
Click For Summary
SUMMARY

The discussion centers on applying Bernoulli's principle to analyze pressure and velocity relationships in a pipe with varying sizes. The user attempts to determine the relationships between pressures (P1, P2, P4, P5) and velocities (v1, v2, v3, v4, v5) at different points in the pipe. The user concludes that P1 is greater than P2, P1 is greater than P4, P3 is less than P4, and v1 is greater than v2, among other comparisons. The user expresses urgency due to an impending deadline for their assignment.

PREREQUISITES
  • Understanding of Bernoulli's equation: P + 1/2pv² + pgh = Constant
  • Knowledge of fluid dynamics concepts, specifically non-viscous incompressible fluids
  • Familiarity with pressure and velocity relationships in fluid flow
  • Ability to interpret graphical representations of fluid systems
NEXT STEPS
  • Review Bernoulli's principle applications in fluid mechanics
  • Study the concept of continuity equation in fluid dynamics
  • Explore examples of pressure and velocity calculations in varying pipe sizes
  • Practice problems involving fluid flow and pressure changes in real-world scenarios
USEFUL FOR

Students studying fluid dynamics, physics educators, and anyone involved in engineering applications related to fluid flow and pressure analysis.

8cd03gro
Messages
2
Reaction score
0

Homework Statement



Use the picture as a guide. P is the pressure in the pipe, and vi is the speed of a non-viscous incompressible fluid at locations i = 1,2,3,4,5.(For each statement select correctly)

http://lon-capa.phy.cmich.edu/res/msu/physicslib/msuphysicslib/33_Fluids2_Bernoulli/graphics/prob07_Bernoulli.gif

Options are: Greater than, less than and Equal to
v1 is ... 2v3.
P1 is ... P2.
P1 is ... P4.
P3 is ... P4.
v4 is ... v5.
v1 is ... v2.
P4 is ... P5.

Homework Equations



Bernoulli's: P+1/2pv^2+pgh=Constant

The Attempt at a Solution



-Equal to
-Greater than
-Greater than
-Less than
-Greater than
-Greater than
-Greater than

This is my most recent attempt. I have 20 attempts and have used 5, but I still don't see where I am going wrong here. The assignment is due at midnight and this is my last question (current time is 10:15PM), so this is my last option.
 
Last edited by a moderator:
Physics news on Phys.org
Bump.
 

Similar threads

Fluid Flow in a Pipe: G-Greater, L-Less, E-Equal
  • · Replies 3 ·
Replies
3
Views
16K
What is the pressure of the fluid at a constriction in a vertical pipe?
  • · Replies 5 ·
Replies
5
Views
7K
How Does Water Pressure Change with Velocity and Elevation in a Tapered Pipe?
  • · Replies 3 ·
Replies
3
Views
12K
Solving Observation 4.2: Showing Every Integer Has Exactly One Binary Expansion
  • · Replies 4 ·
Replies
4
Views
4K
Pipe Design - One Inlet, 3 Outlets
  • · Replies 2 ·
Replies
2
Views
4K
Power Generation (Optimization) in a Car Engine
  • · Replies 2 ·
Replies
2
Views
2K
Continuity Equation and the Bernoulli's Equation
  • · Replies 1 ·
Replies
1
Views
26K