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(Solved): A water flow measurement system uses both a Venturi tube and an orifice plate in separate experiment ...

A water flow measurement system uses both a Venturi tube and an orifice plate in separate experiments. The Venturi tube has an inlet diameter of 30 mm and a throat diameter of 15 mm . The orifice plate has an inlet pipe diameter of 25 mm and an orifice diameter of 15 mm . For each device: a) Calculate the theoretical discharge (Q_theoretical) when the pressure difference between the inlet and throat/orifice is 10 kPa . b) If the actual measured discharge (Q_actual) is

85%

of the theoretical discharge for the Venturi tube and

62%

of the theoretical discharge for the orifice plate, determine the coefficient of discharge (C_d) for each device. c) Compare the flow rates and coefficients of discharge for both devices. Explain the differences you observe. d) Discuss at least three factors that might affect the coefficient of discharge in each device. e) In a practical application, such as a water supply system, which device would you recommend for flow measurement? Justify your answer considering factors such as accuracy, pressure loss, and ease of installation/maintenance. f) Design a simple experiment to determine the relationship between flow rate and pressure difference for your chosen device. Include a diagram of the experimental setup, list of required equipment, and a step-by-step procedure. g) Explain how you would use the data from your proposed experiment to create a calibration curve for the flow measurement device. Note: Assume water density

\rho =1000k(g)/(m^(3))

and gravitational acceleration

g=9.81(m)/(s^(2))

. You may use the following equation for theoretical discharge: Q_theoretical

=A_(1)**\sqrt((2(g)**\Delta h)/(1-((A_(2))/(A_(1)))^(2)))

Where:

A_(1)

is the inlet area

A_(2)

is the throat/orifice area

\Delta h

is the equivalent height of water for the pressure difference.

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