What is the coefficient of discharge and why is it important?

In summary, the coefficient of discharge is a dimensionless value used to measure the efficiency of fluid flow through an orifice or opening. It is determined experimentally by comparing the actual discharge rate to the theoretical discharge rate, and is affected by factors such as orifice shape and size, fluid properties, and Reynolds number. It is important in fluid mechanics for predicting and comparing fluid flow, and can sometimes be greater than 1 due to turbulence.
  • #1
werson tan
183
1

Homework Statement


why the author consider the coefficient of discharge as the z here ? what is exactly coefficient of discharge?

Homework Equations

The Attempt at a Solution

 

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  • #2
1. He doesn't . ##\Delta z ## happens to be 0.61 m here. You can check: it has a dimension. C has not. (*
)
2. Didn't google work ? Plenty links when I try !(*) the author is rather sloppy with dimensions. ##\rho_0## has a dimension too.
 

Related to What is the coefficient of discharge and why is it important?

What is the coefficient of discharge?

The coefficient of discharge is a dimensionless value that represents the efficiency of a fluid flow through a specific orifice or opening. It is calculated by dividing the actual discharge rate by the theoretical discharge rate for the same conditions.

How is the coefficient of discharge determined?

The coefficient of discharge is determined experimentally by measuring the actual discharge rate of a fluid through a specific orifice or opening, and comparing it to the theoretical discharge rate calculated using known equations and properties of the fluid.

What factors affect the coefficient of discharge?

The coefficient of discharge is affected by several factors, including the shape and size of the orifice, the properties of the fluid (such as density and viscosity), and the Reynolds number of the fluid flow.

Why is the coefficient of discharge important in fluid mechanics?

The coefficient of discharge is important because it helps us understand and predict how a fluid will flow through a specific orifice or opening. It is also used to determine the efficiency of various fluid systems and to compare different designs and configurations.

Can the coefficient of discharge be greater than 1?

Yes, the coefficient of discharge can be greater than 1 in certain cases. This typically occurs when there is significant turbulence in the fluid flow, which can increase the actual discharge rate compared to the theoretical discharge rate. However, in most cases, the coefficient of discharge is less than 1.

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