Pressure drop through volumes of compressible fluid

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SUMMARY

The discussion focuses on calculating pressure drops in a compressible fluid system, specifically through an annulus and a pipe. The initial pressure drop (ΔP) is estimated at 2 kPa, with fluid velocities calculated as v1 = 57 m/s and v2 = 32 m/s. Friction losses in the exit pipe, with a length of 600 mm and an inner diameter of 8 mm, result in an additional pressure drop of 2.3 kPa. The user seeks guidance on calculating losses at the entry and exit of the pipe and understanding the volumes involved.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with pressure drop calculations
  • Knowledge of flow rate and velocity equations
  • Experience with friction loss calculations in piping systems
NEXT STEPS
  • Research the Darcy-Weisbach equation for pressure drop calculations
  • Learn about compressible flow dynamics in pipes
  • Study methods for calculating entry and exit losses in fluid systems
  • Explore software tools for simulating fluid flow, such as ANSYS Fluent
USEFUL FOR

Engineers, fluid dynamics specialists, and anyone involved in the design and analysis of piping systems for compressible fluids.

Natalinop
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Homework Statement
Pressure drop through volumes of compressible fluid
Relevant Equations
deltaP = 1/2 (density)velocity^2)
Thanks for your response.
I'm trying to estimate the pressure in the cavity, i.e. P2. I know the areas, A1 which in practicality is an annulus and A2 which is a 600m pipe with i/d 8mm.
I would like to initially understand how to calculate the pressure drop across the annulus.

At the moment I'm assuming the pressure drop which is not useful...
ΔP (P1-P2) = 2 kPa
v1 = SQRT(2000*2/1.2)= 57 m/s

Q1 (flowrate) = v1 * 26 = 1482 m2.mm/s

v2 = Q1/A2 = 1482/46 = 32 m/s

Friction losses at exit pipe
Fluid exits container at pipe length of 600mm length (L) and 8mm inner diameter (d)
L/d = 75
f = 0.05

ΔP (P2-P3) = 0.5*1.2*322*75*0.05= 2.3 kPa
NOt quiet sure how to calculate losses at entry and exit of pipe.
 

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What are the volumes involved?
 

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