Finding the pressure in a pipe?

  • Thread starter Thread starter miamirulz29
  • Start date Start date
  • Tags Tags
    Pipe Pressure
Click For Summary
SUMMARY

The discussion focuses on calculating the pressure in a section of the Alaskan pipeline where the radius changes from 60 cm to 30 cm. Given the initial pressure of 190 kPa and the oil density of 800 kg/m³, the user attempts to derive the pressure using the equation Pi + [rho(q²)]/2pi² * (1/Ri⁴ * R⁴). The equation is evaluated for dimensional consistency to ensure it yields results in kPa.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically laminar flow.
  • Familiarity with pressure calculations in fluid systems.
  • Knowledge of the continuity equation in fluid mechanics.
  • Basic algebra for manipulating equations and units.
NEXT STEPS
  • Review the Bernoulli's equation for fluid flow in pipes.
  • Study the effects of pipe diameter changes on pressure using the continuity equation.
  • Learn about laminar vs. turbulent flow characteristics in fluid dynamics.
  • Explore unit conversion techniques for pressure measurements in kPa.
USEFUL FOR

Students in engineering or physics, particularly those studying fluid mechanics, as well as professionals involved in pipeline design and maintenance.

miamirulz29
Messages
62
Reaction score
0

Homework Statement


The 810 mile long alaskan pipeline has a capacity of 2.48e5 m^3/day of oil per day. Along most the pipeline the radius is 60cm. Find the pressure at a point where the pipe has a 30cm radius. Take the pressure in the section with radius 60cm to be 190kPa and the density of oil to be 800 kg/m^3. Assume laminar nonviscous flow. Answer in units kPa


Homework Equations


q= delta v/ delta t


The Attempt at a Solution


My final equation is Pi + [rho(q^2)]/2pi^2 * (1/Ri^4 * R^4).
Is that correct?
 
Physics news on Phys.org
A quick way that you can check your equation is with the units.

Does you equation produce a unit in kPa?

Thanks
Matt
 

Similar threads

Pressure at the bottom of a glass pipe?
  • · Replies 3 ·
Replies
3
Views
2K
What is the Pressure Change in a Pipe for Salt Water Transport?
  • · Replies 5 ·
Replies
5
Views
2K
Bernoulli's Equation, Find gauge pressure at 2nd point
  • · Replies 6 ·
Replies
6
Views
5K
Bernoulli equation / fluid flow / finding height
  • · Replies 6 ·
Replies
6
Views
3K
Writing Force equation in terms of pressure and area
  • · Replies 5 ·
Replies
5
Views
2K
Is pipe friction more important than velocity in determining pumping pressure?
  • · Replies 4 ·
Replies
4
Views
2K
Pressure just before the exit hole in a draining tank
  • · Replies 7 ·
Replies
7
Views
2K
Calculating water pressure in a horizontal pipe
  • · Replies 4 ·
Replies
4
Views
5K
Calculate the pressure difference between two points
  • · Replies 10 ·
Replies
10
Views
10K
How Does Bernoulli's Principle Apply to Varying Pipe Diameters and Water Flow?
  • · Replies 3 ·
Replies
3
Views
2K