Pressure drop doesn't depend on pipe material (laminar flow)

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SUMMARY

The pressure drop in laminar flow is independent of the pipe material's surface roughness, as established by the fundamental equations governing laminar flow dynamics. Unlike turbulent flow, where surface roughness significantly impacts pressure drop, the laminar flow equations do not include parameters for material characteristics. This is due to the nature of the boundary layer, where the wall velocity is effectively zero, leading to a consistent pressure drop regardless of the pipe material.

PREREQUISITES
  • Understanding of laminar flow principles
  • Familiarity with the Navier-Stokes equations
  • Knowledge of boundary layer theory
  • Basic concepts of fluid dynamics
NEXT STEPS
  • Research the Navier-Stokes equations for laminar flow
  • Explore the differences between laminar and turbulent flow
  • Study boundary layer theory in fluid dynamics
  • Investigate the impact of surface roughness on turbulent flow
USEFUL FOR

Fluid dynamics students, engineers working with piping systems, and researchers focused on flow behavior in various materials.

Mohamed_Wael
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why does the pressure drop equation derived for the laminar flow has no parameter to indicate the surface roughness of the material of the pipe,unlike the turbulent flow !
 
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Zero equals zero.
 
what do u mean ?
 
The boundary layer velocity is zero.
 
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Bystander said:
The boundary layer velocity is zero.

I believe you mean the wall velocity is zero.
 
... barring "slip."
 
I have encountered a vertically oriented hydraulic cylinder that is designed to actuate and slice heavy cabling into sections with a blade. The cylinder is quite small (around 1.5 inches in diameter) and has an equally small stroke. The cylinder is single acting (i.e. it is pressurized from the bottom, and vented to atmosphere with a spring return, roughly 200lbs of force on the spring). The system operates at roughly 2500 psi. Interestingly, the cylinder has a pin that passes through its...

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