Head loss formula in series pipe

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SUMMARY

The discussion centers on the head loss formula in series pipes, specifically the traditional formula of head loss, expressed as (V^2) / 2g, where V represents velocity. The author proposes an alternative formulation, k[(Q)^1/n], suggesting that head height is proportional to the mass flow rate raised to a power. This adjustment accounts for factors such as drag and varying flow conditions, indicating a more generalized approach to calculating head loss in fluid dynamics.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the Bernoulli equation
  • Knowledge of flow rate (Q) and its relation to velocity (V)
  • Basic concepts of drag and its impact on fluid flow
NEXT STEPS
  • Research the derivation of the head loss formula in fluid mechanics
  • Explore the implications of varying n in the equation k[(Q)^1/n]
  • Study the effects of drag on flow rates in pipes
  • Learn about the application of the Darcy-Weisbach equation in head loss calculations
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Students and professionals in engineering, particularly those specializing in fluid mechanics, hydraulic engineers, and anyone involved in the design and analysis of piping systems.

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Homework Statement


i know that the formula of head loss is (V^2) / 2g , where v =velocity , but , why did the author want to change it to k[(Q)^1/n ] ?

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I don't know what the author's plan is - seeing the entire text might help - but in that equation the author is merely saying suppose in general that the head height is proportional to the mass flow rate raised to some power. The constant of proportionality and the power constant might allow for drag, say.
 

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