To determine The velocity at the center of the pipe. Explanation Given: The diameter ( d ) of the horizontal water pipe is 4 cm. The height ( h piezo ) of the water column in the piezometer is 26 cm (from top surface of the pipe). The height ( h pitot ) of the water column in the Pitot tube is 35 cm (from top surface of the pipe). Calculation: Consider the point 1 as the center line of the pipe under the piezometer and the point 2 is the entrance of the Pitot-static probe in the center line of the pipe. The datum heads are on the same line. Therefore, z 1 = z 2 . The velocity at the point 2 is stagnation. Therefore, V 2 = 0 . Consider the acceleration due to gravity ( g ) as 9.81 m/s 2 . Find the pressure head ( P 1 ) in the piezometer using the relation. P 1 = 2 g h Piezo Find the pressure head ( P 2 ) in the Pitot-static probe using the relation: P 2 = 2 g h Pitot Write the Bernoulli’s equation between the points 1 and 2 as follows; P 1 ρ g + V 1 2 2 g + z 1 = P 2 ρ g + V 2 2 2 g + z 2

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Fluid Dynamics

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Chapter 12, Problem 19P

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The velocity at the center of the pipe.

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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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