The formula to calculate the Orifice Coefficient is:
\[ Cd = \frac{Q}{A \sqrt{2gH}} \]
Where:
The orifice coefficient, also known as the discharge coefficient, is a dimensionless number used in fluid dynamics to model the flow rate of fluids through an orifice, nozzle, or valve. It accounts for the effects of viscosity, turbulence, and other factors that can affect the flow rate. The coefficient is typically determined experimentally and can vary depending on the Reynolds number, the shape of the orifice, and the roughness of the surfaces. It is used in the calculation of the flow rate to provide a more accurate prediction.
Let's assume the following values:
Using the formula:
\[ Cd = \frac{0.05}{0.01 \sqrt{2 \cdot 9.81 \cdot 2}} \approx \frac{0.05}{0.01 \sqrt{39.24}} \approx \frac{0.05}{0.01 \cdot 6.26} \approx \frac{0.05}{0.0626} \approx 0.798 \]
The Orifice Coefficient is approximately 0.798.