Applied Fluid Mechanics: Global Edition
7th Edition
ISBN: 9781292019611
Author: Robert Mott
Publisher: Pearson Higher Education
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Chapter 6, Problem 3AP
To determine
A spreadsheet for computing velocity head, pressure head, elevation head, and total head. First compute velocity from volume flow rate and pipe diameter
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The elastic bar from Problem 1 spins with angular velocity ω about an axis, as shown in the figure below. The radial acceleration at a generic point x along the bar is a(x) = ω 2 x. Under this radial acceleration, the bar stretches along x with displacement function u(x). The displacement u(x) is governed by the following equations: ( d dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (2) where σ(x) is the axial stress in the rod, ρ is the mass density, and E is the (constant) Young’s modulus. The bar is pinned on the rotation axis at x = 0 and it is also pinned at x = L.
Determine:1. Appropriate BCs for this physical problem.2. The displacement function u(x).3. The stress function σ(x).
The heated rod from Problem 3 is subject to a volumetric heatingh(x) = h0xLin units of [Wm−3], as shown in the figure below. Under theheat supply the temperature of the rod changes along x with thetemperature function T(x). The temperature T(x) is governed by thefollowing equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(4)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. Both ends of the bar are in contact with a heatreservoir at zero temperature.
Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).
A heated rod of length L is subject to a volumetric heating h(x) = h0xLinunits of [Wm−3], as shown in the figure below. Under the heat supply thetemperature of the rod changes along x with the temperature functionT(x). The temperature T(x) is governed by the following equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(3)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. The left end of the bar is in contact with a heatreservoir at zero temperature, while the right end of the bar is thermallyinsulated.
Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).
Chapter 6 Solutions
Applied Fluid Mechanics: Global Edition
Ch. 6 - Convert a volume flow rate of 3.0 gal/min to...Ch. 6 - Convert 459 gal/min to rrP/s.Ch. 6 - Convert 3720 gal/min to mJ/sCh. 6 - Convert 34.3 gal/min to mJ/sCh. 6 - Convert a volume flow rate of 125 L/min to m3/s.Ch. 6 - Convert 4500 L/min to m5/s.Ch. 6 - Convert 15 000 L/minto m3/s.Ch. 6 - Convert 459 gal/min to L/mninCh. 6 - Convert 3720 gal/min to L/minCh. 6 - Convert 23.5cm2/stom3/s.
Ch. 6 - '6.11 Convert 0.296cm5/stom3/s.Ch. 6 - Convert 0.105 cm3/s to L/minCh. 6 - Convert 3.53103m3/s to L/min.Ch. 6 - Convert 5.26106m3stoL/min.Ch. 6 - Prob. 6.15PPCh. 6 - Convert 20 gal/min to ft'/s.Ch. 6 - Convert 2500 gal/min to ft5/s.Ch. 6 - Convert 2.50 gal/min to ft3/s.Ch. 6 - Convert 125 ft3/s to gal/minCh. 6 - Convert 0.060 ft3/s to gal/min.Ch. 6 - Convert 0.03 ft5/s to gal/minCh. 6 - Convert ft5/s sto gal/minCh. 6 - Table 6.21 lists the range of typical volume flow...Ch. 6 - Table 6.2 lists the range of typical volume flow...Ch. 6 - A certain deep-well pump for a residence is rated...Ch. 6 - A small pump delivers 0.85 gal/h of liquid...Ch. 6 - A small metering pump delivers 11.4 gal of a water...Ch. 6 - A small metering pump delivers 19.5 mL/min of...Ch. 6 - Water at 10 C is flowing at 0.075 m3/s Calculate...Ch. 6 - Oil for a hydraulic system (sg =0.90 ) is flowing...Ch. 6 - A liquid refrigerant (sg = 1.08) is flowing at a...Ch. 6 - After the refrigerant from Problem 6.31 flashes...Ch. 6 - A fan delivers 640ft3/min (CFM) of air. If the...Ch. 6 - A large blower for a furnace delivers 47000ft3/min...Ch. 6 - A furnace requires 1200 Ib/h of air for efficient...Ch. 6 - If a pump removes 1.65 gal/min of water from a...Ch. 6 - Calculate the diameter of a pipe that would carry...Ch. 6 - If the velocity of a liquid is 1.65 ft/s in a...Ch. 6 - When 2000 L/min of water flows through a circular...Ch. 6 - Water flows at 1.20 m/s in a circular section with...Ch. 6 - Figure 6.16 shows a fabricated assembly made from...Ch. 6 - A standard Schedule 40 steel pipe is to be...Ch. 6 - If water at 180 F is flowing with a velocity of...Ch. 6 - A standard steel tube, 1.5 25-mm OD 3 1,5-mm wall...Ch. 6 - The recommended velocity of flow in the discharge...Ch. 6 - Repeat Problem 6.45, except specify suitable sizes...Ch. 6 - Table 6.2 shows the typical volume flow rate for...Ch. 6 - Repeat Problem 6.47 but use Schedule 80 DM pipeCh. 6 - Compute the resulting velocity of flow if 400...Ch. 6 - Repeat Problem 6.49 for a DN 50 Schedule 30 pipe.Ch. 6 - Compute the resulting velocity of flow if 400...Ch. 6 - Repeat Problem 6.51 for a 4-in Schedule 30 pipe.Ch. 6 - From the list of standard hydraulic steel tubing...Ch. 6 - A standard 6-in Schedule 40 steel pipe is carrying...Ch. 6 - For Problems 6.55-6.57, use Fig. 6.3 O to specify...Ch. 6 - For Problems 6.55-6.57, use Fig. 6.3 to specify...Ch. 6 - For Problems 6.55-6.57, use Fig. 6.3 O to specify...Ch. 6 - A venturi meter is a device that uses a...Ch. 6 - A flow nozzle, shown in Fig. 6.18 is used to...Ch. 6 - Gasoline (sg = 0.67) is flowing at 0.11 m3/s in...Ch. 6 - Water at 10 C is flowing from point A to point B...Ch. 6 - Calculate the volume flow rate of water at 5 C...Ch. 6 - Calculate the pressure required in the larger...Ch. 6 - Kerosene with a specific weight of 50.0 lb/ft3 is...Ch. 6 - For the system shown in Fig. 6.23 ; calculate (a)...Ch. 6 - For the system shown in Fig. 6.24ss, calculate (a)...Ch. 6 - For the tank shown in Fig. 6.25lO, calculate the...Ch. 6 - Calculate the pressure of the air in the sealed...Ch. 6 - For the siphon in Fig. 6.26, calculate (a) the...Ch. 6 - For the siphon in Fig. 6.26 , calculate the...Ch. 6 - For the siphon in Fig. 6.26 , assume that the...Ch. 6 - For the siphon shown in Fig. 6.27, calculate (a)...Ch. 6 - For the special fabricated reducer shown in Fig....Ch. 6 - In the fabricated enlargement shown in Fig. 6.29,...Ch. 6 - Figure 6.30 shows a manometer being used to...Ch. 6 - For the venturi meter shown in Fig. 6.30,...Ch. 6 - Oil with a specific weight of 8.64 kN/m3 flows...Ch. 6 - The venturi meter shown in Fig. 6.32 iP carries...Ch. 6 - Oil with a specific gravity of 0.90 is flowing...Ch. 6 - Oil with a specific gravity of 0.90 is flowing...Ch. 6 - Gasoline (sg = 0.67) is flowing at 4.0 ft3/s in...Ch. 6 - Oil with a specific weight of 55.0lb/ft3 flows...Ch. 6 - Draw a plot of elevation head, pressure head,...Ch. 6 - Prob. 6.84PPCh. 6 - Figure 6.36 shows a system in which water flows...Ch. 6 - Figure 6.37 shows a venturi meter with a U-tube...Ch. 6 - For the tank shown in Fig. 6.38, compute the...Ch. 6 - What depth of fluid above the outlet nozzle is...Ch. 6 - Derive Torricelli's theorem for the velocity of...Ch. 6 - Solve Problem 6.88 using the direct application of...Ch. 6 - To what height will the jet of fluid rise for the...Ch. 6 - To what height will the jet of water rise for the...Ch. 6 - What pressure is required above the water in Fig....Ch. 6 - What pressure is required above the water in Fig....Ch. 6 - Compute the time required to empty the tank shown...Ch. 6 - Compute the time required to empty the tank shown...Ch. 6 - Compute the time required to empty the tank shown...Ch. 6 - Compute the time required to empty the tank shown...Ch. 6 - Compute the time required to reduce the depth in...Ch. 6 - Compute the time required to reduce the depth in...Ch. 6 - Compute the time required to reduce the depth in...Ch. 6 - Compute the time required to reduce the depth in...Ch. 6 - Prob. 6.103PPCh. 6 - Repeat Problem 6.101 if the tank is sealed and a...Ch. 6 - Repeat Problem 6.96 if the tank is sealed and a...Ch. 6 - Repeat Problem 6.100 if the tank is sealed and a...Ch. 6 - A village currently carries water by hand from a...Ch. 6 - A "spa tub" is to be designed to replace bath tubs...Ch. 6 - A simple soft drink system relies on pressurized...Ch. 6 - A concept team for a toy company is considering a...Ch. 6 - 6.111 Bernoulli's principle applies to Venturi...Ch. 6 - Prob. 6.112PPCh. 6 - You are to develop a mixing valve for use in a...Ch. 6 - Prob. 6.114PPCh. 6 - You would like to empty the in-ground pool in the...Ch. 6 - Prob. 6.116PPCh. 6 - Create a spreadsheet for computing the values of...Ch. 6 - Prob. 2APCh. 6 - Prob. 3APCh. 6 - Create a spreadsheet for computing, using Eq....Ch. 6 - Prob. 5APCh. 6 - Create a spreadsheet for computing the velocity of...
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