Relationship of discharge and minor loss coefficient

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SUMMARY

The relationship between the discharge coefficient (Cd) and the minor loss coefficient (k) is critical in fluid dynamics, particularly in analyzing head loss (hl) and pressure drop (Δp) in piping systems. The equations governing these coefficients are well-documented, as referenced in Neutrium and Wikipedia. When k is less than or equal to 1, the implications on flow behavior and efficiency require further exploration to fully understand the impact on air velocity (u) and mass flow (m).

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with minor head loss calculations
  • Knowledge of discharge coefficient applications
  • Basic grasp of pressure drop concepts in piping systems
NEXT STEPS
  • Research the impact of minor loss coefficients on flow efficiency
  • Study the derivation of equations for discharge and minor loss coefficients
  • Explore advanced fluid dynamics simulations using software like ANSYS Fluent
  • Investigate case studies involving k values less than or equal to 1 in practical applications
USEFUL FOR

Engineers, fluid dynamics researchers, and students studying hydraulic systems will benefit from this discussion, particularly those focusing on the efficiency of fluid flow in piping networks.

mg-eng
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What is relationship between discharge coefficient and minor loss coefficient. Am I right with that equations?
Mechanika_p_yn_w.png

hl – minor head loss
k – minor loss coefficient
ρ – air density
A – pipe cross section area
Cd – discharge coefficient
Δp – pressure drop
u – air velocity
m – mass flow

here is written that it is true:
https://neutrium.net/fluid_flow/discharge-coefficient-for-nozzles-and-orifices/
https://en.wikipedia.org/wiki/Discharge_coefficient

but what with case when k <= 1 ?
 
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is that question too difficult?
 

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