Investigating Orifice Problem: Pipe Head Differences & Theoretical Head

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SUMMARY

The discussion focuses on calculating the theoretical difference in head pressure before and after an orifice in a pipe system. Given parameters include a pipe diameter of 255mm before the orifice and 230mm after, with flow rates calculated as u1 = 0.188 m/s and u2 = 0.475 m/s. The experimental difference in pressure head is 25mm, while the theoretical difference calculated using the equation P1-P2/p x g = u2^2/2g - u1^2/2g results in 9.7mm. The participant questions the validity of the theoretical result, suggesting it should be higher due to unaccounted local and frictional losses.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically orifice flow.
  • Familiarity with the Bernoulli equation and its applications.
  • Knowledge of flow rate calculations and cross-sectional area determination.
  • Basic grasp of pressure head and its significance in fluid systems.
NEXT STEPS
  • Study the Bernoulli equation in detail, focusing on its application to orifice flow.
  • Learn about local and frictional losses in fluid systems and how to calculate them.
  • Explore the impact of pipe diameter changes on flow rates and pressure head.
  • Investigate experimental methods for measuring pressure head differences in fluid dynamics.
USEFUL FOR

Fluid mechanics students, engineers involved in hydraulic design, and professionals analyzing orifice flow in piping systems will benefit from this discussion.

matthew_hanco
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Orifice problem I've been given a list of quantities

Pipe before orifice head = 255mm
Diameter = 31.75mm

Pipe after orifice head = 230mm
Diameter= 20mm

Time for 10litres to fill in collection tank 67.09seconds
Assuming g= 9.81 and density = 1000

from the experiment difference in pressure head = 25mm
They wanted to know the theorectical.

Calling everything before head 1 and after head 2

u1= Q/ A where Q= 0.149 x 10^-3 m^3/s and A = 0.791x10^-3 m^2

u1 = 0.188

u2= Q/ A where Q= 0.149 x 10^-3 m^3/s and A =0.314x 10^-3 m^2

u2= 0.475

putting into equaton

P1-P2/p x g = u2^2/2g - u1^2/2g where p=density

gives the difference in theoretical head = 9.7mm

Im not sure if that is right as its a third of the experiment, if it is right how can it be because surely the theory should be higher as you don't take into account the local or frictional losses.

Hope someone can help.
 
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Diagram or complete staement of the problem?
 
The problem was find the theoretical difference in head pressure before and after orifice. Then compare with experimental difference in head pressure. No diagram wasnt given one to begin with. sorry
 

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