Which formula describes mean flow velocity in turbulent open channel flow?

Which formula describes mean flow velocity in turbulent open channel flow?

• A. Darcy-Weisbach Equation
• B. Chezy's Formula
• C. Manning's Equation
• D. Bernoulli's Equation

Answer: (B)

In the context of turbulent open channel flow, mean flow velocity is most accurately described by Chezy's Formula. This formula specifically relates to the flow characteristics in open channels and incorporates both the hydraulic radius and the channel slope to compute flow velocity. Chezy's Formula is given as V = C√(R * S), where V is the mean flow velocity, C is the Chezy coefficient, R is the hydraulic radius, and S is the slope of the energy grade line. This relationship directly connects the flow velocity to the channel geometry and flow conditions, which are critical in turbulent flow conditions. In contrast, Darcy-Weisbach Equation primarily focuses on pressure loss in pipe flow due to friction and is not directly applicable for calculating flow velocity in open channels. Manning's Equation is often used for open channel flow as well but is not the direct representation of mean flow velocity as Chezy's Formula is, despite it providing similar information about flow velocity. Bernoulli's Equation is fundamental in understanding the energy conservation in fluid flows but does not directly provide a means to calculate flow velocity specifically in open channel scenarios, especially when turbulence is present. Thus, Chezy's Formula is the correct choice because it directly addresses the mean flow velocity in turbulent open

In the context of turbulent open channel flow, mean flow velocity is most accurately described by Chezy's Formula. This formula specifically relates to the flow characteristics in open channels and incorporates both the hydraulic radius and the channel slope to compute flow velocity.

Chezy's Formula is given as V = C√(R * S), where V is the mean flow velocity, C is the Chezy coefficient, R is the hydraulic radius, and S is the slope of the energy grade line. This relationship directly connects the flow velocity to the channel geometry and flow conditions, which are critical in turbulent flow conditions.

In contrast, Darcy-Weisbach Equation primarily focuses on pressure loss in pipe flow due to friction and is not directly applicable for calculating flow velocity in open channels. Manning's Equation is often used for open channel flow as well but is not the direct representation of mean flow velocity as Chezy's Formula is, despite it providing similar information about flow velocity. Bernoulli's Equation is fundamental in understanding the energy conservation in fluid flows but does not directly provide a means to calculate flow velocity specifically in open channel scenarios, especially when turbulence is present.

Thus, Chezy's Formula is the correct choice because it directly addresses the mean flow velocity in turbulent open