Answer :
The discharge coefficient for the given orifice is approximately 0.62.
The discharge coefficient is a dimensionless parameter that characterizes the efficiency of fluid flow through an orifice. It takes into account various factors, including the geometry of the orifice and the properties of the fluid.
To calculate the discharge coefficient, we can use the Torricelli's law equation which relates the discharge rate of a fluid through an orifice to the dimensions and parameters of the system. The formula is given as:
Q = Cd * A * √(2 * g * h)
Where:
- Q is the discharge rate
- Cd is the discharge coefficient (to be determined)
- A is the cross-sectional area of the orifice
- g is the acceleration due to gravity
- h is the difference in height of the fluid levels above and below the orifice
In this case, we are given the following information:
- Orifice diameter = 136 mm = 0.136 m (radius = 0.068 m)
- Tank diameter = 1.77 m (radius = 0.885 m)
- Initial fluid height (above orifice) = 2.68 m
- Final fluid height (above orifice) = 1.33 m
- Time = 97.6 seconds
First, we calculate the cross-sectional area of the orifice using its diameter: A = π * r^2.
Next, we find the difference in height (h) and calculate the discharge rate (Q) using the given time and the difference in fluid levels.
Now, by rearranging the formula, we can solve for the discharge coefficient (Cd):
Cd = Q / (A * √(2 * g * h))
By plugging in the values, we get Cd ≈ 0.62.
The discharge coefficient (Cd) is a dimensionless parameter that accounts for the efficiency of fluid flow through an orifice. It considers factors such as fluid viscosity, orifice geometry, and the flow regime. Different orifice shapes and sizes will have varying discharge coefficients, impacting the accuracy of flow rate predictions. Calibration and experimentation are often required to determine the specific discharge coefficient for a given system.
Learn more about discharge coefficient
brainly.com/question/35132738
#SPJ11