System Dynamics
3rd Edition
ISBN: 9780077509125
Author: Palm
Publisher: MCG
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Textbook Question
Chapter 7, Problem 7.38P
(a) Determine the capacitance of a spherical tank of radius R, shown in
Figure P7.38.
(b) Obtain a model of the pressure at the bottom of the tank, given the mass flow rate qmi.
Figure P7.38 A spherical tank.
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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:
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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!
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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!
2. A fan discharges 265 cu.m/min of air through a duct of 92 cm in diameter against a static pressure of 0.022 m of water. The fluid density is 995 kg/cu.m., the air temperature is 29°C and the barometric pressure reading is 730 mm Hg. If the power input to the fan is measured 3.5 hp, what are the total and static fan efficiencies?
Chapter 7 Solutions
System Dynamics
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
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