FUNDAMENTALS OF FLUID MECHANICS
8th Edition
ISBN: 9781119571490
Author: GERHART
Publisher: WILEY
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Chapter 5.3, Problem 120P
To determine
The power supplied by the fan.
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motor supplies 200 kW at 6 Hz to flange A of the shaft shown in Figure. Gear B transfers 125 W of power to operating machinery in the factory, and the remaining power in the shaft is mansferred by gear D. Shafts (1) and (2) are solid aluminum (G = 28 GPa) shafts that have the same diameter and an allowable shear stress of t= 40 MPa. Shaft (3) is a solid steel (G = 80 GPa) shaft with an allowable shear stress of t = 55 MPa. Determine:
a) the minimum permissible diameter for aluminum shafts (1) and (2)
b) the minimum permissible diameter for steel shaft (3).
c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).
First monthly exam
Gas dynamics
Third stage
Q1/Water at 15° C flow through a 300 mm diameter riveted steel pipe, E-3 mm with a head loss of 6 m in
300 m length. Determine the flow rate in pipe. Use moody chart.
Q2/ Assume a car's exhaust system can be approximated as 14 ft long and 0.125 ft-diameter cast-iron pipe (
= 0.00085 ft) with the equivalent of (6) regular 90° flanged elbows (KL = 0.3) and a muffler. The
muffler acts as a resistor with a loss coefficient of KL= 8.5. Determine the pressure at the beginning of the
exhaust system (pl) if the flowrate is 0.10 cfs, and the exhaust has the same properties as air.(p = 1.74 ×
10-3 slug/ft³, u= 4.7 x 10-7 lb.s/ft²) Use moody chart
(1)
MIDAS
Kel=0.3
Q3/Liquid ammonia at -20°C is flowing through a 30 m long section of a 5 mm diameter copper tube(e =
1.5 × 10-6 m) at a rate of 0.15 kg/s. Determine the pressure drop and the head losses.
.μ= 2.36 × 10-4 kg/m.s)p = 665.1 kg/m³
2/Y
Y+1
2Cp
Q1/ Show that
Cda
Az x
P1
mactual
Cdf
Af
R/T₁
2pf(P1-P2-zxgxpf)
Q2/ A simple jet carburetor has to supply 5 Kg of air per minute. The air is at a pressure of 1.013 bar
and a temperature of 27 °C. Calculate the throat diameter of the choke for air flow velocity of 90 m/sec.
Take velocity coefficient to be 0.8. Assume isentropic flow and the flow to be compressible.
Quiz/ Determine the air-fuel ratio supplied at 5000 m altitude by a carburetor which is adjusted to give
an air-fuel ratio of 14:1 at sea level where air temperature is 27 °C and pressure is 1.013 bar. The
temperature of air decreases with altitude as given by the expression
The air pressure decreases with altitude as per relation h = 19200 log10 (1.013), where P is in bar. State
any assumptions made.
t = ts
P
0.0065h
Chapter 5 Solutions
FUNDAMENTALS OF FLUID MECHANICS
Ch. 5.1 - Prob. 1PCh. 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. 23PCh. 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. 35PCh. 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. 67PCh. 5.2 - Prob. 68PCh. 5.2 - Prob. 69PCh. 5.2 - A Pelton wheel vane directs a horizontal, circular...Ch. 5.2 - Prob. 71PCh. 5.2 - Thrust vector control is a technique that can be...Ch. 5.2 - Prob. 73PCh. 5.2 - Prob. 74PCh. 5.2 - Prob. 75PCh. 5.2 - Prob. 76PCh. 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. 79PCh. 5.2 - A snowplow mounted on a truck clears a path 12 ft...Ch. 5.2 - Prob. 81PCh. 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. 86PCh. 5.2 -
Calculate the torque required to drive the pump...Ch. 5.2 - Prob. 88PCh. 5.2 - Prob. 89PCh. 5.2 - Prob. 90PCh. 5.3 - Distinguish between shaft work and other kinds of...Ch. 5.3 - Prob. 92PCh. 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. 99PCh. 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. 115PCh. 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. 118PCh. 5.3 - Water is to be pumped from the large tank shown in...Ch. 5.3 - Prob. 120PCh. 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. 128PCh. 5.3 - Water flows vertically upward in a circular cross-...Ch. 5.3 - Prob. 130PCh. 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. 1LLPCh. 5.5 - Prob. 2LLPCh. 5.5 - Prob. 3LLPCh. 5.5 - Prob. 4LLP
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