SYSTEM DYNAMICS>LOOSELEAF<
3rd Edition
ISBN: 9781260163087
Author: Palm
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7, Problem 7.20P
In the liquid level system shown in Figure P7.20, the resistances R | and /?i are linear, and the input is the pressure source ps. Obtain the differential equation model for the height h, assuming that h >D.
Figure P7.20
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A cylindrical tank (1.20m in diameter) contains two liquids with the follow specific gravities:LIQUID 1: oil (s.g.oil = 0.80)LIQUID 2: water (s.g.water = 1.00)Each specified liquid has a thickness of 0.60m with the denser liquid at the bottom. If a circular office is placed at the bottom of the tank (100mm in diameter and with c = 0.65) to drain the fluids:
Compute for the time required to remove the denser liquid from the tank
Q1 In the liquid level system shown in Figure Q4, the resistances ?1 and ?2 are linear, and the input is the pressure source Ps.
(a) Determine the mathematical model of the fluid system for the height h. Assume that h < ?.
(b) DetermineTransferFunctionbasedontheresultofQ1(a),wheretheinputisonlyconsidering
from ?mi (no supply from ?(?).
(c) Based on the result in Q1(b), justify the characteristics of the system.
(e) Present your comments by comparing the results of Q1(a) and Q1(d).
Figure Q1
(d) Determinethemathematicalmodelofthefluidsystemfortheheighth.Assumethath>?.
Q.1 Design a Mathematical Modelling for Pressure System with Two Resistances: Consider a pressure system with tank of volume V and varying pressure P at constant temperature. F1 is inlet flow through resistance R1 with source pressure P1. F2 is output flow through resistance R2 and flowing out at pressure P2. R2 R1 Tank -P2 P1 V, P
Chapter 7 Solutions
SYSTEM DYNAMICS>LOOSELEAF<
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
- Flow is driven along a long, straight, circular pipe by a pressure drop. On investigating a portion of this pipe, far from the inlet and outlet sections and with a steady state flow, we observe a pressure drop of Δp=10 Pa across a length of the pipe L=8.6 m. The radius of the pipe is R=0.2 m. The fluid properties are as follows: the dynamic viscosity is μ=0.05 m2 s-1 and density is ρ=1000 kg m-3. Find the Reynolds number based on the diameter of the pipe, evaluated at the middle of the pipe section. Give your answer to two decimal places. please stop copy from internet, there are a lot of wrong solutions. To give you a hint the final answer is 930 but i need a detailed solution. thank youarrow_forwardA cylindrical tank (1.20m in diameter) contains two liquids with the follow specific gravities:LIQUID 1: oil (s.g.oil = 0.80)LIQUID 2: water (s.g.water = 1.00)Each specified liquid has a thickness of 0.60m with the denser liquid at the bottom. If a circular office is placed at the bottom of the tank (100mm in diameter and with c = 0.65) to drain the fluids: Compute for the time required to remove the denser liquid from the tank. Hint/s: In evaluating the time to drain the more dense fluid, use the concept of equivalent pressure heads to evaluate hinitial and hfinal since there are multiple fluids in the containerarrow_forward2. Find the Diameter of a wind turbine rotor which generates 210 kW of electrical power output in a steady wind velocity of 8.5 m/sec with the power coefficient is 63%. The gear, generator and electric efficiencies are 95%, 96% and 89% respectively. Assume the atmospheric air condition is 1.01325 bar, Gas Constant R = 287 J/kg K at 29°C.arrow_forward
- 2. Let X be an exponential distributed random variable with parameter Q, namely, X - Exp(0), Find the mathematical expectation, E(X), of random variable X and P(X>x) for any x>0.arrow_forwardLiquid water is throttled at 50 bar and 100 ° C up to 25 bar. Estimate the temperature change of the fluid in degrees Celsius if a) the fluid is incompressible b) if a linear interpolation is used for the compressed liquid data. a) Use CD data. b) Use steam tablesarrow_forwardWater is being pumped the through one inch diameter piping arrangement to a higher elevation (5 meters up). Assume incompressible fluid conditions and some heat losses to the surroundings. At the inlet water pressure is 1 bar, temperature 15C, and volumetric flow rate is 0.02 m3/s. At the exit pressure is 2.2 bar, temperature is 10C and velocity of the stream is 40 m/s. Determine: a.Density of the inlet stream using NIST tables. b.Mass flow rate [kg/s] c.Determine h2 from known p2 and T2 using NIST tables d.Find heat rate removed from Q=m(h1-h2) Use Energy Balance Equation with enthalpy difference and in the units of kW to find pumping power in kW. NOTE: The heat is removed from the system, so it should be negative in your equation! show all steps please thanksarrow_forward
- Water is being pumped the through one inch diameter piping arrangement to a higher elevation (5 meters up). Assume incompressible fluid conditions and some heat losses to the surroundings. At the inlet water pressure is 1 bar, temperature 15C, and volumetric flow rate is 0.02 m3/s. At the exit pressure is 2.2 bar, temperature is 10C and velocity of the stream is 40 m/s. Determine: a.Density of the inlet stream using NIST tables. b.Mass flow rate [kg/s] c.Determine h2 from known p2 and T2 using NIST tables d.Find heat rate removed from Q=m(h1-h2) Use Energy Balance Equation with enthalpy difference and in the units of kW to find pumping power in kW. NOTE: The heat is removed from the system, so it should be negative in your equation! show all steps pleasearrow_forwardWater is being pumped the through one inch diameter piping arrangement to a higher elevation (5 meters up). Assume incompressible fluid conditions and some heat losses to the surroundings. At the inlet water pressure is 1 bar, temperature 15C, and volumetric flow rate is 0.02 m3/s. At the exit pressure is 2.2 bar, temperature is 10C and velocity of the stream is 40 m/s. Determine: a.Density of the inlet stream using NIST tables. b.Mass flow rate [kg/s] c.Determine h2 from known p2 and T2 using NIST tables d.Find heat rate removed from Q=m(h1-h2) Use Energy Balance Equation with enthalpy difference and in the units of kW to find pumping power in kW. NOTE: The heat is removed from the system, so it should be negative in your equation!arrow_forwardShow step by step solution asap I will rate Positively .arrow_forward
- One model of the glomerular membrane is a microporous membrane in which right cylindrical porespenetrate all the way through the membrane. Assume that the pores have a length of 50 nm and aradius of 3.5 nm. The viscosity of plasma is 0.002 Pa s. The average hydrostatic pressure in theglomerulus is 60 mm Hg, hydrostatic pressure in Bowman’s space is 20 mm Hg and the averageoncotic pressure of glomerular capillary blood is 28 mm Hg.A. Calculate the flow through a single pore assuming laminar flow (use the Poiseuille flowequation).B. How many pores would there have to be to produce a normal GFR?C. If the total aggregate area of the kidneys for filtration is 1.5 m2, what is the density of thepores (number of pores per unit area)D. What fraction of the area is present as pores?arrow_forwardHEAT TRANSFER A flat plate of length 0.3 m is maintained at a temperature of 42C. A stream of water (Pr = 6.62, = 961×10-9 m2 /s, k = 0.606 W/m·K) at 22C and 2.5 m/s flows across the top surface of the plate lengthwise. Under steady state, calculate: (a) The heat flux leaving the mid-length of the plate. (b) The average heat loss per unit width of the plate to the flowing water.arrow_forward5.7 In a continuous agitation heating tank, w=wi=200lb/min, Cp and density are constant, the volume of the heating tank V=1.63ft^3, the specific heat of the liquid is 0.32Btu/(lbF), and the density is 62.4lb/ft^3 am. The heat input Q from the heater is 1680 Btu/min, and the inflow temperature is maintained at 80F. (b) Find the response when the inlet temperature increases to 95F at any moment and the heat input decreases to 1400Btu/min at the same time.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
First Law of Thermodynamics, Basic Introduction - Internal Energy, Heat and Work - Chemistry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=NyOYW07-L5g;License: Standard youtube license