Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 5, Problem 38CP
To determine
The working of siphon and the possibility of working of siphon for
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Complete the following problems. Show your work/calculations, save as.pdf and upload to the
assignment in Blackboard.
missing information to present a completed program. (Hint: You may have to look up geometry
for the center drill and standard 0.5000 in twist drill to know the required depth to drill).
1. What are the x and y dimensions for the center position of holes 1,2, and 3 in the part shown in
Figure 26.2 (below)?
6.0000
Zero
reference
point
7118
1.0005
1.0000
1.252
Bore
6.0000
.7118
Cbore
0.2180 deep
(3 holes)
2.6563 1.9445
Figure 26.2
026022 (8lot and Drill Part)
(Setup Instructions---
(UNITS: Inches
(WORKPIECE NAT'L SAE 1020 STEEL
(Workpiece: 3.25 x 2.00 x0.75 in. Plate
(PRZ Location 054:
'
XY 0.0 - Upper Left of Fixture
TOP OF PART 2-0
(Tool List
( T02 0.500 IN 4 FLUTE FLAT END MILL
#4 CENTER DRILL
Dashed line indicates-
corner of original stock
( T04
T02
3.000 diam. slot
0.3000 deep.
0.3000 wide
Intended toolpath-tangent-
arc entry and exit sized to
programmer's judgment…
A program to make the part depicted in Figure 26.A has been created, presented in figure 26.B, but some information still needs to be filled in. Compute the tool locations, depths, and other missing information to present a completed program. (Hint: You may have to look up geometry for the center drill and standard 0.5000 in twist drill to know the required depth to drill).
We consider a laminar flow induced by an impulsively started infinite flat
plate. The y-axis is normal to the plate. The x- and z-axes form a plane parallel
to the plate. The plate is defined by y = 0. For time t <0, the plate and the flow
are at rest. For t≥0, the velocity of the plate is parallel to the 2-coordinate;
its value is constant and equal to uw. At infinity, the flow is at rest. The flow
induced by the motion of the plate is independent of z.
(a) From the continuity equation, show that v=0 everywhere in the flow and
the resulting momentum equation is
მu
Ət
Note that this equation has the form of a diffusion equation (the same form as
the heat equation).
(b) We introduce the new variables T, Y and U such that
T=kt, Y=k/2y, U = u
where k is an arbitrary constant. In the new system of variables, the solution
is U(Y,T). The solution U(Y,T) is expressed by a function of Y and T and the
solution u(y, t) is expressed by a function of y and t. Show that the functions are
identical.…
Chapter 5 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 5 - Does the amount of mass entering a control volume...Ch. 5 - Define mass and volume flow rates. How are they...Ch. 5 - Name four physical quantities that are conserved...Ch. 5 - When is the flow through a control volume steady?Ch. 5 - Consider a device with one inlet and one outlet....Ch. 5 - A hair dryer is basically a duct of constant...Ch. 5 - A garden hose attached with a nozzle is used to...Ch. 5 - Air whose density is 0.082 Ibm/ft3 enters the duct...Ch. 5 - A 0.7$-m3 rigid tank initially contains air whose...Ch. 5 - Consider the flow of an incompressible Newtonian...
Ch. 5 - A desktop computer is to be cooled by a fan whose...Ch. 5 - The minimum fresh air requirement of a residential...Ch. 5 - The ventilating fan of the bathroom of a building...Ch. 5 - Air enters a nozzle steadily at 2.21 kg/m3 and 20...Ch. 5 - Air at 40°C flow steadily through the pipe shown...Ch. 5 - In climates with low night-time temperatures, an...Ch. 5 - What is mechanical energy? How does it differ from...Ch. 5 - Define turbine efficiency, generator efficiency,...Ch. 5 - What is mechanical efficiency? What does a...Ch. 5 - How is the combined pump-motor efficiency of a...Ch. 5 - Prob. 21PCh. 5 - A differential thermocouple with sensors at the...Ch. 5 - Electric power is to be generated by installing a...Ch. 5 - Consider a river flowing toward a lake at an...Ch. 5 - Express the Bernoulli equation in three different...Ch. 5 - What are the three major assumptions used in the...Ch. 5 - Define static, dynamic, and hydrostatic pressure....Ch. 5 - What is streamwise acceleration? How does it...Ch. 5 - What is stagnation pressure? Explain how it can be...Ch. 5 - Define pressure head, velocity head, and elevation...Ch. 5 - How is the location of the hydraulic grade line...Ch. 5 - Prob. 33CPCh. 5 - What is the hydraulic grade line? How does it...Ch. 5 - A glass manometer with oil as the working fluid is...Ch. 5 - The velocity of a fluid flowing in a pipe is to be...Ch. 5 - The water level of a tank on a building roof is 20...Ch. 5 - Prob. 38CPCh. 5 - Prob. 39CPCh. 5 - In a hydroelectric power plant, water enters the...Ch. 5 - A Pitot-static probe is used to measure the speed...Ch. 5 - The air velocity in the duct of a heating system...Ch. 5 - A piezometer and a Pitot tube are tapped into a...Ch. 5 - The diameter of a cylindrical water tank is D0and...Ch. 5 - A siphon pumps water from a large reservoir to a...Ch. 5 - Water flows through a horizontal pipe at a rate of...Ch. 5 - An airplane is flying at an altitude of 10.500 m....Ch. 5 - While traveling on a dirt road, the bottom of a...Ch. 5 - The water in an 8-rn-diameter, 3-rn-high...Ch. 5 - Reconsider Prob. 5-49. Determine how long it will...Ch. 5 - Air at 105 kPa and 37°C flows upward through a...Ch. 5 - Water at 20°C is siphoned from a reservoir as...Ch. 5 - The water pressure in the mains of a city at a...Ch. 5 - A pressurized tank of water has a 10-cm-diameter...Ch. 5 - Air is flowing through a venturi meter whose...Ch. 5 - The water level in a tank is 20 m above the...Ch. 5 - The air velocity in a duct is measured by a...Ch. 5 - In cold climates, water pipes may freeze and burst...Ch. 5 - Prob. 61PCh. 5 - A fluid of density and viscosity flows through a...Ch. 5 - What is the minimum diameter at section (1) to...Ch. 5 - What is irreversible head loss? How is it related...Ch. 5 - What is useful pump head? How is it related to the...Ch. 5 - Consider the steady adiabatic flow of an...Ch. 5 - Consider the steady adiabatic flow of an...Ch. 5 - What is the kinetic energy correction factor? Is...Ch. 5 - The water level in a tank is 20 m above the...Ch. 5 - A 3-rn-high tank filled with water has a discharge...Ch. 5 - A person is filling a knee-high bucket with water...Ch. 5 - Tater is being pumped from a large lake to a...Ch. 5 - A 15-hp (shaft) pump is used to raise water to a...Ch. 5 - Water flows at a rate of 0.040 m3/s in a...Ch. 5 - The water level in a tank is 20 m above the...Ch. 5 - A hydraulic turbine has 50 m of head available at...Ch. 5 - In a hydroelectric power plant, water flows from...Ch. 5 - Reconsider Prob. 5-78E. Determine the flow rate of...Ch. 5 - A fan is to be selected to ventilate a bathroom...Ch. 5 - Water flows at a rate of 20 L/s through a...Ch. 5 - The water level in a tank is 34 ft above the...Ch. 5 - A large tank is initially filled with water 4 m...Ch. 5 - Water enters a hydraulic turbine through a...Ch. 5 - A 78-percent efficient 12-hp pump is pumping water...Ch. 5 - Water is pumped from a lower reservoir to a higher...Ch. 5 - Water in a partially filled large tank is to be...Ch. 5 - Underground water is to be pumped by a 78 percent...Ch. 5 - Reconsider Prob. 5-88. Determine the flow rate of...Ch. 5 - The velocity profile for turbulent flow in a...Ch. 5 - The demand for electric power is usually much...Ch. 5 - Prob. 92PCh. 5 - Consider a fully filled hemisphere shaped tank...Ch. 5 - The velocity of a liquid flowing in a circular...Ch. 5 - Air at 250 kgrn3 enters a nozzle that has an...Ch. 5 - The air in a 5m5-m3-m hospital room is to be...Ch. 5 - The water level in a tank is 70 ft above the...Ch. 5 - A pressurized 2-rn-diameter tank of water has a...Ch. 5 - Underground water is being pumped into a pool...Ch. 5 - Prob. 100PCh. 5 - A very large tank contains air at 102 kPa at a...Ch. 5 - Water is flowing through a Venturi meter whose...Ch. 5 - Water flows at a rate of 0.011 m3/s in a...Ch. 5 - Air flows through a pipe at a rate of 120 L/s. The...Ch. 5 - A 3-rn-high large tank is initially filled with...Ch. 5 - Reconsider Prob. 5-105. In order to dram the tank...Ch. 5 - A D0= 1 2-rn-diameter tank is initially filled...Ch. 5 - An oil pump is drawing 18 kW of electric power...Ch. 5 - A wind tunnel draws atmospheric air at 20°C and...Ch. 5 - Consider a spherical tank containing compressed...Ch. 5 - A tank with openings 1,2, and 3 is moving to left...Ch. 5 - Two dimensionally identical containers are...Ch. 5 - A circular thin plate is placed on the top of a...Ch. 5 - A pump-storage plant uses a turbine to generate...Ch. 5 - A diffuser in a pipe flow is basically a slow...Ch. 5 - Prob. 117PCh. 5 - Prob. 118PCh. 5 - Prob. 119PCh. 5 - Air enters a steady-flow compressor at 1 atm and...Ch. 5 - A 7$-m-high water body that is open to the...Ch. 5 - Prob. 122PCh. 5 - Prob. 123PCh. 5 - A hydraulic turbine is used to generate power by...Ch. 5 - The efficiency of a hydraulic turbine-generator...Ch. 5 - Which one is not an assumption involved with the...Ch. 5 - Consider incompressible, frictionless flow of a...Ch. 5 - Consider incompressible, frictionless flow of...Ch. 5 - Consider water flow in a piping network. The...Ch. 5 - The static and stagnation pressures of a fluid in...Ch. 5 - The static and stagnation pressures of a fluid in...Ch. 5 - The difference between the heights of energy grade...Ch. 5 - Water at 120 kPa (gage) is flowing in a horizontal...Ch. 5 - Water is withdrawn a the bottom of a large tank...Ch. 5 - Water at 80 kPa (gage) enters a horizontal pipe at...Ch. 5 - Liquid ethanol (p = 783 kg/m3) at a pressure of...Ch. 5 - Seawater is to be pumped into a large tank at a...Ch. 5 - An adiabatic pump is used to increase the pressure...Ch. 5 - The shaft power from a 90 percent-efficient...Ch. 5 - Using a 1are bucket whose volume is known and...Ch. 5 - Your company is setting up an experiment that...Ch. 5 - Computer-aided designs, the use of better...Ch. 5 - Using a handheld bicycle pump to generate an air...Ch. 5 - Using a flexible drinking straw and a ruler,...Ch. 5 - The power generated by a wind turbine is...
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- Part A: Suppose you wanted to drill a 1.5 in diameter hole through a piece of 1020 cold-rolled steel that is 2 in thick, using an HSS twist drill. What values if feed and cutting speed will you specify, along with an appropriate allowance? Part B: How much time will be required to drill the hole in the previous problem using the HSS drill?arrow_forward1.1 m 1.3 m B 60-mm diameter Brass 40-mm diameter Aluminum PROBLEM 2.52 - A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of brass (E₁ = 105 GPa, α = 20.9×10°/°C) and portion BC is made of aluminum (Ę₁ =72 GPa, α = 23.9×10/°C). Knowing that the rod is initially unstressed, determine (a) the normal stresses induced in portions AB and BC by a temperature rise of 42°C, (b) the corresponding deflection of point B.arrow_forward30 mm D = 40 MPa -30 mm B C 80 MPa PROBLEM 2.69 A 30-mm square was scribed on the side of a large steel pressure vessel. After pressurization, the biaxial stress condition at the square is as shown. For E = 200 GPa and v=0.30, determine the change in length of (a) side AB, (b) side BC, (c) diagnonal AC.arrow_forward
- Please solve in detail this problem thank youarrow_forward0,5 mm 450 mm 350 mm Bronze A = 1500 mm² E = 105 GPa प 21.6 × 10-PC Aluminum A = 1800 mm² £ = 73 GPa = a 23.2 × 10-PC PROBLEM 2.58 Knowing that a 0.5-mm gap exists when the temperature is 24°C, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to -75 MPa, (b) the corresponding exact length of the aluminum bar.arrow_forward0.5 mm 450 mm -350 mm Bronze Aluminum A 1500 mm² A 1800 mm² E 105 GPa E 73 GPa K = 21.6 X 10 G < = 23.2 × 10-G PROBLEM 2.59 Determine (a) the compressive force in the bars shown after a temperature rise of 82°C, (b) the corresponding change in length of the bronze bar.arrow_forward
- The truss shown below sits on a roller at A and a pin at E. Determine the magnitudes of the forces in truss members GH, GB, BC and GC. State whether they are in tension or compression or are zero force members.arrow_forwardA weight (W) hangs from a pulley at B that is part of a support frame. Calculate the maximum possible mass of the weight if the maximum permissible moment reaction at the fixed support is 100 Nm. Note that a frictionless pin in a slot is located at C.arrow_forwardIt is the middle of a winter snowstorm. Sally and Jin take shelter under an overhang. The loading of the snow on top of the overhang is shown in the figure below. The overhang is attached to the wall at points A and B with pin supports. Another pin is at C. Determine the reactions of the pin supports at A and B. Express them in Cartesian vector form.arrow_forward
- Recall that the CWH equation involves two important assumptions. Let us investigate how these assumptions affect the accuracy of state trajectories under the control inputs optimized in (a) and (b). (c.1): Discuss the assumptions about the chief and deputy orbits that are necessary for deriving CWH.arrow_forwardPROBLEM 2.50 1.8 m The concrete post (E-25 GPa and a = 9.9 x 10°/°C) is reinforced with six steel bars, each of 22-mm diameter (E, = 200 GPa and a, = 11.7 x 10°/°C). Determine the normal stresses induced in the steel and in the concrete by a temperature rise of 35°C. 6c " 0.391 MPa 240 mm 240 mm 6₁ = -9.47 MPaarrow_forwardFor some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays with time according to a(t) = a(0) exp(-4) (15.10) where σ(t) and o(0) represent the time-dependent and initial (i.e., time = 0) stresses, respectively, and t and T denote elapsed time and the relaxation time, respectively; T is a time-independent constant characteristic of the material. A specimen of a viscoelastic polymer whose stress relaxation obeys Equation 15.10 was suddenly pulled in tension to a measured strain of 0.5; the stress necessary to maintain this constant strain was measured as a function of time. Determine E (10) for this material if the initial stress level was 3.5 MPa (500 psi), which dropped to 0.5 MPa (70 psi) after 30 s.arrow_forward
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