To determine The torque required to drive the pump. Explanation Write the expression of radial velocity at the inlet. V r 1 = Q 2 π r 1 b 1 (I) Here, the flow rate is Q , the radius of the impeller blade at the inlet is r 1 and the width of the blade at inlet is b 1 . Write the expression of radial velocity at the outlet. V r 2 = Q 2 π r 2 b 2 (II) Here, the flow rate is Q , the radius of the impeller blade at the outlet is r 2 and the width of the blade at outlet is b 2 . Write the expression of tangential velocity at the inlet. V θ 1 = tan θ 1 V r 1 (III) Here, the inlet angle is θ 1 . Write the expression of tangential velocity at the outlet. V θ 2 = tan θ 2 V r 2 (IV) Here, the outlet angle is θ 1 . Write the expression of mass flow rate of water. m = ρ Q (V) Here, the density of the water is ρ . Write the expression of inlet velocity. U 1 = r 1 ω (VI) Here, the angular velocity is ω . Write the expression of angular velocity. ω = 2 π f Here, the frequency is f . Substitute 2 π f for ω in Equation (VI). U 1 = r 1 2 π f (VII) Write the expression of outlet velocity. U 2 = r 2 2 π f (VIII) Write the expression of power required to drive the pump. P = ρ Q ( − U 1 V θ 1 + U 2 V θ 2 ) (IX) Write the expression of required torque. T = P ω (X) Substitute 2 π f for ω in Equation (X). T = P 2 π f (XI) Conclusion: Substitute 3 m 3 / min for Q , 0.065 m for r 1 and 0.03 m for b 1 in Equation (I). V r 1 = ( 3 m 3 / min ) 2 π ( 0.065 m ) × ( 0.03 m ) = ( 3 m 3 / min ) × ( 1 min 60 s ) 2 π ( 0.065 m ) × ( 0.03 m ) = 4.081 m / s Substitute 3 m 3 / min for Q , 0.13 m for r 2 and 0.01 m for b 2 in Equation (II). V r 2 = ( 3 m 3 / min ) 2 π ( 0.13 m ) × ( 0.01 m ) = ( 3 m 3 / min ) × ( 1 min 60 s ) 2 π ( 0.13 m ) × ( 0.01 m ) = 6.12 m / s Substitute 4.081 m / s for V r 1 and 30 ° for θ 1 in Equation (III). V θ 1 = tan 30 ° ( 4.081 m / s ) = 0.57735 × 4.081 m / s = 2.356 m / s Substitute 6.12 m / s for V r 2 and 45 ° for θ 2 in Equation (IV). V θ 2 = tan 45 ° ( 6.12 m / s ) = 1 × 6.12 m / s = 6

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

8th Edition

ISBN: 9781119080701

Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein

Publisher: WILEY

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A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

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Chapter 5.2, Problem 87P

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The torque required to drive the pump.

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Chapter 5.2, Problem 86P

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Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

Ch. 5.1 - Prob. 1P Ch. 5.1 - An incompressible fluid flows horizontally in the...Ch. 5.1 - Water flows steadily through the horizontal piping...Ch. 5.1 - Water flows out through a set of thin, closely...Ch. 5.1 - Estimate the rate (in gal/hr) that your car uses...Ch. 5.1 - The pump shown in Fig. P5.6 produces a steady flow...Ch. 5.1 - The fluid axial velocities shown in Fig. P5.7 are...Ch. 5.1 - The human circulatory system consists of a complex...Ch. 5.1 - Air flows steadily between two cross sections in a...Ch. 5.1 - A hydraulic jump (see Video V10.11) is in place...

Ch. 5.1 - A woman is emptying her aquarium at a steady rate...Ch. 5.1 - An evaporative cooling tower (see Fig. P5.12) is...Ch. 5.1 - At cruise conditions, air flows into a jet engine...Ch. 5.1 - Water at 0.1 m3/s and alcohol (SG = 0.8) at 0.3...Ch. 5.1 - In the vortex tube shown in Fig. P5.15, air enters...Ch. 5.1 - Molten plastic at a temperature of 510 °F is...Ch. 5.1 - A water jet pump (see Fig. P5.17) involves a jet...Ch. 5.1 - To measure the mass flowrate of air through a...Ch. 5.1 - Two rivers merge to form a larger river as shown...Ch. 5.1 - Various types of attachments can be used with the...Ch. 5.1 - An appropriate turbulent pipe flow velocity...Ch. 5.1 - As shown in Fig. P5.22, at the entrance to a...Ch. 5.1 - Prob. 23P Ch. 5.1 - Oil for lubricating the thrust bearing shown in...Ch. 5.1 - Flow of a viscous fluid over a flat plate surface...Ch. 5.1 - Air at standard conditions enters the compressor...Ch. 5.1 - Estimate the time required to fill with water a...Ch. 5.1 - For an automobile moving along a highway, describe...Ch. 5.1 - A water jet leaves a fixed nozzle with a velocity...Ch. 5.1 - A hypodermic syringe (see Fig. P5.30) is used to...Ch. 5.1 - Figure P5.31 shows a two-reservoir water supply...Ch. 5.1 - The Hoover Dam (see Video V2.4) backs up...Ch. 5.1 - Storm sewer backup causes your basement to flood...Ch. 5.1 - (See The Wide World of Fluids article “‘Green’...Ch. 5.2 - Prob. 35P Ch. 5.2 - When a baseball player catches a ball, the force...Ch. 5.2 - Find the horizontal and vertical forces to hold...Ch. 5.2 - Water flows through a horizontal bend and...Ch. 5.2 - Find the magnitude of the force F required to hold...Ch. 5.2 - Water enters the horizontal, circular...Ch. 5.2 - A truck carrying chickens is too heavy for a...Ch. 5.2 - Exhaust (assumed to have the properties of...Ch. 5.2 - Air at T1 = 300 K, p1 = 303 kPa, and V1 = 0.5 m/s...Ch. 5.2 - Water flows steadily from a tank mounted on a cart...Ch. 5.2 - Determine the magnitude and direction of the...Ch. 5.2 - Figure P5.46 shows a lateral pipe fitting. This...Ch. 5.2 - Water flows steadily between fixed vanes, as shown...Ch. 5.2 - The hydraulic dredge shown in Fig. P5.48 is used...Ch. 5.2 - A static thrust stand is to be designed for...Ch. 5.2 - A vertical jet of water leaves a nozzle at a speed...Ch. 5.2 - A horizontal, circular cross-sectional jet of air...Ch. 5.2 - Calculate the pressure change (p2 − p1) for the...Ch. 5.2 - Air flows into the atmosphere from a nozzle and...Ch. 5.2 - Water flows from a large tank into a dish as shown...Ch. 5.2 - Figure P5.55 shows the configuration of the center...Ch. 5.2 - The plate shown in Fig. P5.56 is 0.5 m wide...Ch. 5.2 - Two water jets of equal size and speed strike each...Ch. 5.2 - Figure P5.58 shows coal being dropped from a...Ch. 5.2 - Determine the magnitude of the horizontal...Ch. 5.2 - Water flows steadily into and out of a tank that...Ch. 5.2 - The rocket shown in Fig. P5.61 is held stationary...Ch. 5.2 - Air discharges from a 2-in.-diameter nozzle and...Ch. 5.2 - Water is sprayed radially outward over 180° as...Ch. 5.2 - A sheet of water of uniform thickness (h = 0.01 m)...Ch. 5.2 - The results of a wind tunnel test to determine the...Ch. 5.2 - A variable mesh screen produces a linear and...Ch. 5.2 - Prob. 67P Ch. 5.2 - Prob. 68P Ch. 5.2 - Prob. 69P Ch. 5.2 - A Pelton wheel vane directs a horizontal, circular...Ch. 5.2 - Prob. 71P Ch. 5.2 - Thrust vector control is a technique that can be...Ch. 5.2 - Prob. 73P Ch. 5.2 - Prob. 74P Ch. 5.2 - Prob. 75P Ch. 5.2 - Prob. 76P Ch. 5.2 - (See The Wide World of Fluids article titled “Bow...Ch. 5.2 - Water flows from a two-dimensional open channel...Ch. 5.2 - Prob. 79P Ch. 5.2 - A snowplow mounted on a truck clears a path 12 ft...Ch. 5.2 - Prob. 81P Ch. 5.2 - Water at 60 °F is flowing through the 2-in. steel...Ch. 5.2 - Five liters/s of water enter the rotor shown in...Ch. 5.2 - Figure P5.84 shows a simplified sketch of a...Ch. 5.2 - The hydraulic turbine shown in Fig. P5.85 has a 10...Ch. 5.2 - Prob. 86P Ch. 5.2 - Calculate the torque required to drive the pump...Ch. 5.2 - Prob. 88P Ch. 5.2 - Prob. 89P Ch. 5.2 - Prob. 90P Ch. 5.3 - Distinguish between shaft work and other kinds of...Ch. 5.3 - Prob. 92P Ch. 5.3 - A horizontal Venturi flow meter consists of a...Ch. 5.3 - Figure P5.94 shows the mixing of two streams. The...Ch. 5.3 - Liquid water at 40 °F flows down a vertical,...Ch. 5.3 - A simplified schematic drawing of the carburetor...Ch. 5.3 - Oil (SG = 0.9) flows downward through a vertical...Ch. 5.3 - An incompressible liquid flows steadily along the...Ch. 5.3 - Prob. 99P Ch. 5.3 - A water siphon having a constant inside diameter...Ch. 5.3 - Figure P5.101 shows a test rig for evaluating the...Ch. 5.3 - For the 180° elbow and nozzle flow shown in Fig....Ch. 5.3 - An automobile engine will work best when the back...Ch. 5.3 - (See The Wide World of Fluids article titled...Ch. 5.3 - Based on flowrate and pressure rise information,...Ch. 5.3 - Oil (SG = 0.88) flows in an inclined pipe at a...Ch. 5.3 - The pumper truck shown in Fig. P5.107 is to...Ch. 5.3 - The hydroelectric turbine shown in Fig. P5.108...Ch. 5.3 - A pump is to move water from a lake into a large,...Ch. 5.3 - Water is pumped from the tank shown in Fig....Ch. 5.3 - Water is pumped steadily through the apparatus...Ch. 5.3 - Water is pumped from the large tank shown in Fig....Ch. 5.3 - Water flows by gravity from one lake to another as...Ch. 5.3 - The turbine shown in Fig. P5.114 develops 100 hp...Ch. 5.3 - Prob. 115P Ch. 5.3 - Water is to be moved from one large reservoir to...Ch. 5.3 - Determine the volume flow rate and minimum power...Ch. 5.3 - Prob. 118P Ch. 5.3 - Water is to be pumped from the large tank shown in...Ch. 5.3 - Prob. 120P Ch. 5.3 - When the pump shown in Fig. P5.121 is stopped,...Ch. 5.3 - Air flows past an object in a pipe of 2-m diameter...Ch. 5.3 - Water flows steadily down the inclined pipe as...Ch. 5.3 - When fluid flows through an abrupt expansion as...Ch. 5.3 - Water (60 °F) flows through an annular space...Ch. 5.3 - Find the acceleration of the cart shown in Fig....Ch. 5.3 - Prob. 128P Ch. 5.3 - Water flows vertically upward in a circular cross-...Ch. 5.3 - Prob. 130P Ch. 5.3 - The cross-sectional area of a rectangular duct is...Ch. 5.3 - A small fan moves air at a mass flowrate of 0.004...Ch. 5.3 - Air enters a radial blower with zero angular...Ch. 5.3 - Water enters a pump impeller radially. It leaves...Ch. 5.3 - Water enters an axial-flow turbine rotor with an...Ch. 5.3 - An inward flow radial turbine (see Fig. P5.136)...Ch. 5.5 - Prob. 1LLP Ch. 5.5 - Prob. 2LLP Ch. 5.5 - Prob. 3LLP Ch. 5.5 - Prob. 4LLP

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