SYSTEM DYNAMICS LL+CONNECT
3rd Edition
ISBN: 9781264201891
Author: Palm
Publisher: MCG CUSTOM
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 7, Problem 7.16P
A certain tank has a circular bottom area A = 20 ft2. It is drained by a pipe whose linear resistance is R — 150 m-1sec_1. The tank contains water whose mass density is 1.94 slug/ft3.
- Estimate how long it will take for the tank to empty if the water height is initially 30 ft.
- Suppose we dump water into the tank at a rate of 0.1 ft3/sec. If the tank is initially empty and the outlet pipe remains open, find the steady-state height and the time to reach one-third that height, and estimate how long it will take to reach the steady-state height.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Through a duct air enters a fan at 6.3 m/s and an inlet static pressure 2.5 cm of water less than atmospheric pressure. The air leaves the fan through a duct at 11.25 m/s and a discharge static pressure of 7.62 cm of water above the atmospheric pressure. If the specific weight of the air is 1.2 kg/cubic meters and the fan delivers 9.45 cubic meters/sec, what is the fan efficiency when the power input to the fan is 13.75 kW at the coupling
In Figure 1, a reducing elbow is used to deflect water flow at a rate of 18 kg/s in a horizontal pipe upward 40o while accelerating. The elbow discharge water into the atmosphere. The cross sectional area of the elbow is 120 cm2 at the inlet and 10 cm2 at the outlet. The elevation difference between the centers of the outlet and the inlet is 50 cm. The weight of the elbow and the water in it is considered to be negligible. If the density of water is 1000 kg/m3 and momentum-flux correction factor is 1.03, determine:
- The velocity of water at the inlet and outlet and
- The gage pressure at the center of the inlet of the elbow
Water flowing through a pipe of constant cross section, 11 cm in diameter, as shown in Fig. shown in the figure below. It has a speed of 5 m/s at the bottom and has traveled 2 m in height before being dumped into the environment, where the local atmospheric pressure is 1 atm.
Assuming conservation of flow, what is the velocity of the water as it leaves the pipe
(b) Calculate the pressure using Bernoulli's equation.
(C) Determine the time, in seconds, required for 1 m³ of water to flow through the opening of the pipe.
Chapter 7 Solutions
SYSTEM DYNAMICS LL+CONNECT
Ch. 7 - Prob. 7.1PCh. 7 - Refer to the water storage and supply system shown...Ch. 7 - Prob. 7.3PCh. 7 - In Figure P7.4 the piston of area A is connected...Ch. 7 - Refer to Figure 7.1.4a. and suppose that p\ — p2=...Ch. 7 - Pure water flows into a mixing tank of volume V =...Ch. 7 - Consider the mixing tank treated in Problem 7.6....Ch. 7 - Derive the expression for the fluid capacitance of...Ch. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - 7.11 Derive the expression for the capacitance of...Ch. 7 - Air flows in a certain cylindrical pipe 1 m long...Ch. 7 - Derive the expression for the linearized...Ch. 7 - Consider the cylindrical container treated in...Ch. 7 - A certain tank has a bottom area A = 20 m2. The...Ch. 7 - A certain tank has a circular bottom area A = 20...Ch. 7 - The water inflow rate to a certain tank was kept...Ch. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - In the liquid level system shown in Figure P7.20,...Ch. 7 - The water height in a certain tank was measured at...Ch. 7 - Derive the model for the system shown in Figure...Ch. 7 - (a) Develop a model of the two liquid heights in...Ch. 7 - Prob. 7.24PCh. 7 - Design a piston-type damper using an oil with a...Ch. 7 - Prob. 7.26PCh. 7 - 7.27 An electric motor is sometimes used to move...Ch. 7 - Prob. 7.28PCh. 7 - Prob. 7.29PCh. 7 - Figure P7.3O shows an example of a hydraulic...Ch. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - Prob. 7.33PCh. 7 - Prob. 7.34PCh. 7 - Prob. 7.35PCh. 7 - Prob. 7.36PCh. 7 - Prob. 7.37PCh. 7 - (a) Determine the capacitance of a spherical tank...Ch. 7 - Obtain the dynamic model of the liquid height It...Ch. 7 - Prob. 7.40PCh. 7 - Prob. 7.41PCh. 7 - Prob. 7.42PCh. 7 - Prob. 7.43PCh. 7 - Prob. 7.44PCh. 7 - Prob. 7.45PCh. 7 - The copper shaft shown in Figure P7.46 consists of...Ch. 7 - A certain radiator wall is made of copper with a...Ch. 7 - A particular house wall consists of three layers...Ch. 7 - A certain wall section is composed of a 12 in. by...Ch. 7 - Prob. 7.50PCh. 7 - Prob. 7.51PCh. 7 - A steel tank filled with water has a volume of...Ch. 7 - Prob. 7.53PCh. 7 - Prob. 7.54PCh. 7 - Prob. 7.55P
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.Similar questions
- An oil has 0.62 inch steel tube, through which flows an oil. The properties of oil are as follows; μ = 0.034 lbs/ft-sec, μb = 0.044 lbs/ft-sec, μw = 0.004 lbs/ft-sec, and specific gravity at 60°F is 0.899. The oil neters at a temperature of t1 = 60°F and flows with an average velocity of 4 ft/sec. The inside ssurface area is 0.1613 ft2 per feet length, and the inside sectional area is 0.3019 in2. The length of one pass of the tube is 10 feet. Considering steam at 215°F surround the tubes. Assume that the inside surface temperature of the pipe is 210°F and a bulk temperature of 72°F. If the specific heat of oil is 0.5 btu/lbs-°F and its conductivity k = 0.08 Btu-ft/hr-F-ft2, what is the temperature at the end of 10 feet pass. Show your complete solution and illustration.arrow_forwardA 90oC elbow in Figure Q4 is used to direct water flow at a rate of 40kg/s in a horizontal pipe upward. The diameter of the entire elbow is 1 m. The elbow discharges water into the atmosphere. The elevation difference between the centers of the exit and the inlet of the elbow is 50 cm. The weight of the elbow and the water in it is considered to be negligible. Determine :arrow_forwardWater at 60 deg. F is pumped from a reservoir to the top of a mountain through a 6-in SCH 120 pipe at an average velocity of 12 ft/s. The pipe discharges into the atmosphere at a level 3000 ft above the level in the reservoir. The pipeline itself is 4500 ft. long. If the overall efficiency of the pump and the motor driving it is 70% and the cost of electric energy to the motor is 4 cents per kilowatt-hour, 2. what is the theoretical power consumption in hp? 373755575557337733none of the givenarrow_forward
- An incompressible fluid of density 800 kg/m3 flows steadily at 8 m3/sec through a horizontal pipingsection. The inlet diameter is 1 meter while the outlet diameter is 0.5 meters. The static pressure at the inlet is 1,000 kPa (absolute); the outlet is open to the atmosphere.Determine the fluid loss from the inlet to the outlet in J/kg.arrow_forwardA hose of diameter 3 cm is used to drain a very large tank filled with water (=1000 kg/m3). The hose is draped over the side of the tank so the water is siphoned out. If the hose discharge is 1 m below the surface of the water, estimate the discharged mass flow rate in kg/s? A siphon implies a continuous liquid leg from the water in the tank up the siphon at point 2, the highest elevation, and down to the discharge at point 3. Assume that alpha=1, the discharge at point 3 as well as the tank are both open to the atmosphere and shaft work and frictional losses are ignored. 2.Based on your solution, how can you drain the tank faster?arrow_forwardA pump is installed to deliver water from a reservoir of surface elevation zero, to another of elevation 290 ft. The 10 inch-diameter suction pipe (f=0.022) is 90 ft long and the 8-in-diameer discharge pipe (f=0.028) is 4900 ft long. The pump characteristic is defined by hp= 365-20Q2 where hp, the pump head, is in feet and Q is in cubic feet per second. What is the rate at which the pump will deliver the water?arrow_forward
- Hot water at a constant volumetric flow rate of Fh and temperature Th(t) is mixed with cold water at a constant volumetric flow rate of Fc and a constant temperature of Tc. Both streams flow into a bathtub, but because of carelessness, the water is overflowing and keeping the bathtub full of water. The bathtub volume is V, and the heat loss can be ignored. Assuming the water in the bathtub is perfectly mixed and constant density and heat capacity, derive the differential equation relating the temperature in the bathtub, T(t), to the temperature of the hot water, Th(t).arrow_forward3. In a refinery, certain oil with sp.gr 0.9 flows with a velocity of 2 m/s in a pipe of diameter 30cm. Along the flow, the pipe diameter gets reduced to 25 cm. Determine the velocity and mass flow rate of oil at this section. 4. A circular pipe of uniform diameter 500mm carries water under pressure 30 N/cm2 . The mean velocity of water at the inlet (at the datum) is 2.0 m/s. Find the total head or total energy per unit weight of the water at a cross-section, which is 5 m above the datum line. 5. A tapered pipe, through which water is flowing, is having diameter, 30cm and 20 cm at the cross-sections 1 and 2 respectively. The velocity of water at section 1 is given as 3.5m/s. Find the velocity head at section 1 and 2 and also rate of discharge. 6. Water is flowing through a pipe having diameter 300mm and 200 mm at the bottom and upper end respectively. The pressure at the lower(bigger) end is 25 N/cm2 and the pressure at the upper end is 10 N/cm2. Determine the difference in datum…arrow_forwardAn oil has 0.62 inch steel tube, through which flows an oil. The properties of oil are as follows; μ = 0.034 lbs/ft-sec, μb = 0.044 lbs/ft-sec, μw = 0.004 lbs/ft-sec, and specific gravity at 60°F is 0.899. The oil neters at a temperature of t1 = 60°F and flows with an average velocity of 4 ft/sec. The inside surface area is 0.1613 ft2 per foot length, and the inside sectional area is 0.3019 in2. The length of one pass of the tube is 10 feet. Considering steam at 215°F surround the tubes. Assume that the inside surface temperature of the pipe is 210°F and a bulk temperature of 72°F. If the specific heat of oil is 0.5 btu/lbs-°F and its conductivity k = 0.08 Btu-ft/hr-°F-ft2, what is the temperature at the end of 10 feet pass. Answer: t = 61.18 °F Show the complete solution.arrow_forward
- An oil has 0.62 inch steel tube, through which flows an oil. The properties of oil are as follows; μ = 0.034 lbs/ft-sec, μb = 0.044 lbs/ft-sec, μw = 0.004 lbs/ft-sec, and specific gravity at 60°F is 0.899. The oil neters at a temperature of t1 = 60°F and flows with an average velocity of 4 ft/sec. The inside surface area is 0.1613 ft2 per foot length, and the inside sectional area is 0.3019 in2. The length of one pass of the tube is 10 feet. Considering steam at 215°F surround the tubes. Assume that the inside surface temperature of the pipe is 210°F and a bulk temperature of 72°F. If the specific heat of oil is 0.5 btu/lbs-°F and its conductivity k = 0.08 Btu-ft/hr-F-ft2, what is the temperature at the end of 10 feet pass. Show your complete solution and illustration.arrow_forwardWater flows through a pipe at 130 L/s that changes gradually in diameter from 154mm at point A to 429 mm at point B. B is 4.6m higher than point A. The respective pressures at point A and B are 70 kPa and 48.3 kPa. All minor losses are insignificant. Show solution feedback guaranteed!! Determine the total energy at point A choices 102 J/kg 94.3 J/kg 84.8 J/kg 70.55 J/kg Determine the total energy at point B choices 93.8 J/kg 104.6 J/kg 72.4 J/kg 80.2 J/kg Determine the head loss of the pipe choices 0.054 m 0.042 m 0.075 m 0.068 marrow_forwardAir enters a fan through a duct at a velocity of 6.3 m/s and an inlet static pressure of 2.5 cm of water less than atmospheric pressure. The air leaves the fan through a duct at a velocity of 11.25 m/s and a discharge static pressure of 7.62 cm of water above the atmospheric pressure. If the specific weight of the air is 1.2 kg/m3 and the fan delivers 9.45 m3/s, what is the fan efficiency when the power input is 13.75 kW at the coupling?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure; Author: Lectures by Walter Lewin. They will make you ♥ Physics.;https://www.youtube.com/watch?v=O_HQklhIlwQ;License: Standard YouTube License, CC-BY
Dynamics of Fluid Flow - Introduction; Author: Tutorials Point (India) Ltd.;https://www.youtube.com/watch?v=djx9jlkYAt4;License: Standard Youtube License