Applied Fluid Mechanics
7th Edition
ISBN: 9780133414622
Author: UNTENER
Publisher: YUZU
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Chapter 9, Problem 9.23PP
Carbon dioxide with a specific weight of
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
5. Estimate the friction pressure gradient in a 10.15 cm bore unheated horizontal
pipe for the following conditions:
Fluid-propylene
Pressure 8.175 bar
Temperature-7°C
Mass flow of liquid-2.42 kg/s. Density of liquid-530 kg/m³
Mass flow of vapour-0.605 kg/s. Density of vapour-1.48 kg/m³
Describe the following HVAC systems.
a) All-air systems
b) All-water systems
c) Air-water systems
Graphically represent each system with a sketch.
Chapter 9 Solutions
Applied Fluid Mechanics
Ch. 9 - Compute points on the velocity profile from the...Ch. 9 - s9.2 Compute points on the velocity profile from...Ch. 9 - Compute points on the velocity profile from the...Ch. 9 - Compute points on the velocity profile from the...Ch. 9 - A small velocity probe is to be inserted through a...Ch. 9 - If the accuracy of positioning the probe described...Ch. 9 - An alternative scheme for using the velocity probe...Ch. 9 - Prob. 9.8PPCh. 9 - For the flow of 12.9L/min of water at 75C in a...Ch. 9 - A large pipeline with a 1,200m inside diameter...
Ch. 9 - Prob. 9.11PPCh. 9 - Prob. 9.12PPCh. 9 - Prob. 9.13PPCh. 9 - Prob. 9.14PPCh. 9 - Using Eq. (9-4), compute the ratio of the average...Ch. 9 - Prob. 9.16PPCh. 9 - Repeat Problem 9.16 for the same conditions,...Ch. 9 - Prob. 9.18PPCh. 9 - A shell-and-tube heat exchanger is made of two...Ch. 9 - Figure 9.14 shows a heat exchanger in which each...Ch. 9 - Figure 9.15 shows the cross section of a...Ch. 9 - Air with a specific weight of 12.5N/m3 and a...Ch. 9 - Carbon dioxide with a specific weight of...Ch. 9 - Water at 90F flows in the space between 6 in...Ch. 9 - Refer to the shell-and-tube heat exchanger shown...Ch. 9 - Refer to Fig. 9.14, which shows two DN 150...Ch. 9 - Refer to Fig. 9.15, which shows three pipes inside...Ch. 9 - Water at 10C is flowing in the shell shown in Fig....Ch. 9 - Figure 9.19 shows the cross section of a heat...Ch. 9 - Figure 9.20 shows a liquid-to-air heat exchanger...Ch. 9 - Glycerin ( sg=1.26 ) at 40C flows in the portion...Ch. 9 - Each of the square tubes shown in Fig. 9.21...Ch. 9 - A heat sink for an electronic circuit is made by...Ch. 9 - Figure 9.23 shows the cross section of a cooling...Ch. 9 - Prob. 9.35PPCh. 9 - The blade of a gas turbine engine contains...Ch. 9 - For the system described in Problem 9.24. compute...Ch. 9 - For the shell-and-tube heat exchanger described in...Ch. 9 - For the system described in Problem 9.26 compute...Ch. 9 - For the system described in Problem 9.27 compute...Ch. 9 - For the shell-and-tube heat exchanger described in...Ch. 9 - For the heat exchanger described in Problem 9.29...Ch. 9 - For the glycerin described in Problem 9.31 compute...Ch. 9 - For the flow of water in the square tubes...Ch. 9 - If the heat sink described in Problem 9.33 is 105...Ch. 9 - Compute the energy loss for the flow of water in...Ch. 9 - In Fig. 9.26 ethylene glycol ( sg=1.10 ) at 77F...Ch. 9 - Figure 9.27 shows a duct in which methyl alcohol...Ch. 9 - Prob. 9.49PPCh. 9 - Figure 9.29 shows a system in which methyl alcohol...Ch. 9 - A simple heat exchanger is made by welding...Ch. 9 - Three surfaces of an instrument package are cooled...Ch. 9 - Figure 9.32 shows a heat exchanger with internal...
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- Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of 6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If, initially, tank A contains pure water and tank B contains 20 kg of salt. A 6 L/min 0.2 kg/L x(t) 100 L 4 L/min x(0) = 0 kg 3 L/min 1 L/min B y(t) 100 L y(0) = 20 kg 2 L/min Figure Q1 - Mixing problem for interconnected tanks Determine the mass of salt in each tank at time t≥ 0: Analytically (hand calculations) Using MATLAB Numerical Functions (ode45) Creating Simulink Model Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.arrow_forwardased on the corresponding mass flow rates (and NOT the original volumetric flow rates) determine: a) The mass flow rate of the mixed air (i.e., the combination of the two flows) leaving the chamber in kg/s. b) The temperature of the mixed air leaving the chamber. Please use PyscPro software for solving this question. Notes: For part (a), you will first need to find the density or specific volume for each state (density = 1/specific volume). The units the 'v' and 'a' are intended as subscripts: · kgv = kg_v = kgv = kilogram(s) [vapour] kga = kg_a =kga = kilogram(s) [air]arrow_forwardThe answers to this question s wasn't properly given, I need expert handwritten solutionsarrow_forward
- I need expert handwritten solutions to this onlyarrow_forwardTwo large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of 6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If, initially, tank A contains pure water and tank B contains 20 kg of salt. A 6 L/min 0.2 kg/L x(t) 100 L 4 L/min x(0) = 0 kg 3 L/min B y(t) 100 L y(0) = 20 kg 2 L/min 1 L/min Figure Q1 - Mixing problem for interconnected tanks Determine the mass of salt in each tank at time t > 0: Analytically (hand calculations)arrow_forwardTwo springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its equilibrium position a distance 2 m and then releasing both masses. if m₁ = m₂ = 1 kg, k₁ = 3 N/m and k₂ = 2 N/m. www.m k₁ = 3 (y₁ = 0). m₁ = 1 k2=2 (y₂ = 0) |m₂ = 1 Y2 y 2 System in static equilibrium (Net change in spring length =32-31) System in motion Figure Q3 - Coupled mass-spring system Determine the equations of motion y₁(t) and y₂(t) for the two masses m₁ and m₂ respectively: Analytically (hand calculations)arrow_forward
- 100 As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the spring constant at time t is k(t) = t sin N/m. If the mass-spring system has mass m = 2 kg and a damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is subjected to the harmonic external force f(t) = 100 cos 3t N. Find at least the first four nonzero terms in a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement: Analytically (hand calculations)arrow_forwardthis is answer to a vibrations question. in the last part it states an assumption of x2, im not sure where this assumption comes from. an answer would be greatly appreciatedarrow_forwardPlease answer with the sketches.arrow_forward
- The beam is made of elastic perfectly plastic material. Determine the shape factor for the cross section of the beam (Figure Q3). [Take σy = 250 MPa, yNA = 110.94 mm, I = 78.08 x 106 mm²] y 25 mm 75 mm I 25 mm 200 mm 25 mm 125 Figure Q3arrow_forwardA beam of the cross section shown in Figure Q3 is made of a steel that is assumed to be elastic- perfectectly plastic material with E = 200 GPa and σy = 240 MPa. Determine: i. The shape factor of the cross section ii. The bending moment at which the plastic zones at the top and bottom of the bar are 30 mm thick. 15 mm 30 mm 15 mm 30 mm 30 mm 30 mmarrow_forwardA torque of magnitude T = 12 kNm is applied to the end of a tank containing compressed air under a pressure of 8 MPa (Figure Q1). The tank has a 180 mm inner diameter and a 12 mm wall thickness. As a result of several tensile tests, it has been found that tensile yeild strength is σy = 250 MPa for thr grade of steel used. Determine the factor of safety with respect to yeild, using: (a) The maximum shearing stress theory (b) The maximum distortion energy theory T Figure Q1arrow_forward
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