Explanation Given: The diameter of the orifice ( D 2 ) is 10 cm. The irreversible head loss ( h L ) is 0.3 m. The free surface of water in the tank is at the height from the orifice z 1 = 5 m . The kinetic energy correction factor at orifice ( α 0 ) is 1.2. Calculation: Show the free-body diagram of tank filled with orifice as in Figure 1. Refer to figure 1, Assume that the flow is steady and incompressible and the tank is open at the atmosphere. The kinetic energy correction factor at the orifice is α 2 = α = 1.2 . Take the density of water ρ = 1000 kg/m 3 . Take the point 1 at free surface in the tank and point 2 at the exit of the orifice. The pressure at the point 1 and 2 are same P 1 = P 2 = P a t m . The fluid velocity at the free surface of tank V 1 = 0 . The acceleration due to gravity ( g ) as 9.81 m/s 2 . Write the Bernoulli’s equation between the point 1 and 2 as below; P 1 ρ g + α 1 V 1 2 2 g + z 1 + h p u m p , u = P 2 ρ g + α 2 V 2 2 2 g + z 2 + h t u r b i n e , e + h L Here, P 1 is pressure at point 1

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Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala

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Fluid Dynamics

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Chapter 12, Problem 57P

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The initial discharge velocity.

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Fundamentals of Thermal-Fluid Sciences

Ch. 12 - Prob. 1P Ch. 12 - Express the Bernoulli equation in three different...Ch. 12 - What are the three major assumptions used in the...Ch. 12 - Define static, dynamic, and hydrostatic pressure....Ch. 12 - Prob. 5P Ch. 12 - Prob. 6P Ch. 12 - Prob. 7P Ch. 12 - How is the location of the hydraulic grade line...Ch. 12 - Prob. 9P Ch. 12 - Prob. 10P

Ch. 12 - A glass manometer with oil as the working fluid is...Ch. 12 - The velocity of a fluid flowing in a pipe is to be...Ch. 12 - The water level of a tank on a building roof is 20...Ch. 12 - Prob. 14P Ch. 12 - Prob. 15P Ch. 12 - Prob. 16P Ch. 12 - Prob. 17P Ch. 12 - Prob. 18P Ch. 12 - A piezometer and a Pitot tube are tapped into a...Ch. 12 - The diameter of a cylindrical water tank is Do and...Ch. 12 - Prob. 21P Ch. 12 - Prob. 22P Ch. 12 - Prob. 23P Ch. 12 - An airplane is flying at an altitude of 12,000 m....Ch. 12 - While traveling on a dirt road, the bottom of a...Ch. 12 - Prob. 26P Ch. 12 - Prob. 27P Ch. 12 - Air at 105 kPa and 37°C flows upward through a...Ch. 12 - A handheld bicycle pump can be used as an atomizer...Ch. 12 - Prob. 31P Ch. 12 - The water pressure in the mains of a city at a...Ch. 12 - Prob. 33P Ch. 12 - Air is flowing through a venturi meter whose...Ch. 12 - The water level in a tank is 15 m above the...Ch. 12 - What is useful pump head? How is it related to the...Ch. 12 - Prob. 38P Ch. 12 - What is irreversible head loss? How is it related...Ch. 12 - Consider the steady adiabatic flow of an...Ch. 12 - Prob. 41P Ch. 12 - Prob. 42P Ch. 12 - Prob. 43P Ch. 12 - Prob. 44P Ch. 12 - In a hydroelectric power plant, water flows from...Ch. 12 - Reconsider Prob. 12–45E. Determine the flow rate...Ch. 12 - Prob. 47P Ch. 12 - Water is being pumped from a large lake to a...Ch. 12 - A 15-hp (shaft) pump is used to raise water to a...Ch. 12 - Prob. 51P Ch. 12 - The water level in a tank is 20 m above the...Ch. 12 - Prob. 53P Ch. 12 - Prob. 54P Ch. 12 - Water flows at a rate of 20 L/s through a...Ch. 12 - Prob. 56P Ch. 12 - Prob. 57P Ch. 12 - Prob. 58P Ch. 12 - Prob. 59P Ch. 12 - Prob. 60P Ch. 12 - Prob. 61P Ch. 12 - Prob. 62P Ch. 12 - Prob. 63P Ch. 12 - A 73-percent efficient 12-hp pump is pumping water...Ch. 12 - Prob. 65P Ch. 12 - Air flows through a pipe at a rate of 120 L/s. The...Ch. 12 - Air at 100 kPa and 25°C flows in a horizontal duct...Ch. 12 - Prob. 68RQ Ch. 12 - Prob. 69RQ Ch. 12 - Prob. 70RQ Ch. 12 - A 3-m-high large tank is initially filled with...Ch. 12 - Prob. 73RQ Ch. 12 - Prob. 74RQ

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