Explanation Write the expression for the velocity at the inlet of the pump. V 1 = Q π 4 d 1 2 (I) Here, the volume flow rate is Q and the diameter at the inlet is d 1 . Write the expression for the velocity at the exit of the pump. V 2 = Q π 4 d 2 2 (II) Here, the diameter at the exit is d 2 . Write the expression for the mass flow rate of the water. m ˙ = ρ Q (III) Here, the density of the water is ρ . Write the expression for the work done using the Bernoulli’s equation. W s = m ˙ ( p 1 − p 2 ρ + V 1 2 − V 2 2 2 ) + W L (IV) Here, the shaft power is W s , the pressure at inlet is p 1 , the pressure at exit is p 2 , the density of the fluid is ρ and the loss of the energy is W L . Write the expression for the rotor efficiency. η = W s − m ˙ ( W L ) W s (V) Conclusion: Substitute 90 mm for d 1 and 0.02 m 3 / s for Q in Equation (I). V 1 = ( 0.02 m 3 / s ) π 4 ( 90 mm ) 2 = ( 0.02 m 3 / s ) π 4 ( 90 mm ( 1 m 10 3 mm ) ) 2 = ( 0.02 m 3 / s ) 0.785 ( 8.1 × 10 − 3 m 2 ) = 3.1438 m / s Substitute 30 mm for d 2 and 0.02 m 3 / s for Q in Equation (II). V 2 = ( 0.02 m 3 / s ) π 4 ( 30 mm ) 2 = ( 0.02 m 3 / s ) π 4 ( 30 mm ( 1 m 10 3 mm ) ) 2 = ( 0.02 m 3 / s ) 0.785 ( 8.1 × 10 − 3 m 2 ) = 28.30 m / s Substitute 1000 kg / m 3 for ρ and 0

8th Edition

ISBN: 9781119571490

Author: GERHART

Publisher: WILEY

See similar textbooks

Concept explainers

Applied Fluid Mechanics

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.

Videos

Question

Chapter 5.3, Problem 118P

To determine

The hydraulic efficiency of the pump.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.3, Problem 117P

Chapter 5.3, Problem 119P

Students have asked these similar questions

A cylinder and a disk are used as pulleys, as shown in the figure. Using the data given in the figure, if a body of mass m = 3 kg is released from rest after falling a height h 1.5 m, find: a) The velocity of the body. b) The angular velocity of the disk. c) The number of revolutions the cylinder has made. T₁ F Rd = 0.2 m md = 2 kg T T₂1 Rc = 0.4 m mc = 5 kg ☐ m = 3 kg

(read image) (answer given)

11-5. Compute all the dimensional changes for the steel bar when subjected to the loads shown. The proportional limit of the steel is 230 MPa. 265 kN 100 mm 600 kN 25 mm thickness X Z 600 kN 450 mm E=207×103 MPa; μ= 0.25 265 kN

Chapter 5 Solutions

FUNDAMENTALS OF FLUID MECHANICS

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

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.