Fully Developed Turbulent Channel Flow

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The discussion focuses on the derivation of volumetric flow rate for fully developed turbulent channel flow, with the user expressing difficulty in finding relevant information, particularly in contrast to laminar flow. There is a request for equations that connect friction factor to pressure change or head loss in closed channel flow, noting that similar equations exist for open channel flow. Participants are encouraged to share insights or resources that could assist in understanding these concepts. The conversation emphasizes the need for clarity on turbulent flow equations in fluid dynamics. Overall, the thread seeks to bridge knowledge gaps in turbulent flow analysis.
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Homework Statement


Hey everyone I was wondering if you could help me - is there any known derivation for the volumetric flow rate through a fully developed turbulent channel flow, I've been looking for ages and can't find anything only for laminar flow.

thanks in advance

nar


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The Attempt at a Solution

 
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Is there an equation that relates the friction factor to the change in pressure or head loss for a closed channel flow - I am aware there exists equations that exits for open channel flow
 
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