Fluid mechanics, help in finding the dancy friction factor

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SUMMARY

The discussion focuses on calculating the Darcy friction factor using the Colebrook-White equation without the Moody chart. The equation is expressed as 1/√f = -2LOG[(e/d)/3.71 + 2.51/(Re*√f)]. The iterative process for solving the Darcy friction factor involves selecting an initial guess for f and refining the value until the equation balances. An example of this iterative calculation was requested by participants in the forum.

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  • Understanding of fluid mechanics principles
  • Familiarity with the Colebrook-White equation
  • Knowledge of Reynolds number (Re) and its significance
  • Basic skills in iterative numerical methods
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  • Explore examples of calculating the Darcy friction factor
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Engineers, fluid mechanics students, and professionals involved in hydraulic system design or analysis will benefit from this discussion.

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How to find the dancy friction factor by using the colebrook white equation (not using the moody chart) ; to calculate the 1/√f = -2LOG[(e/d)/3.71 + 2.51/(Re*√f)]

help please
 
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The Darcy friction factor is solved using an iterative process. You have to use a starting gues value for f and then plug the answer in and repeat until you get the f's on either side of the equation to balance.
 
can you show me an example for this if there is available, please!
 
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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