System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 7, Problem 7.13P
Derive the expression for the linearized resistance due to orifice flow near a reference height hr.
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A 400 gpm piping system is composed of the following pipes and fittings.
Using the chart;
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Suction side (4.5” Փ)
Length of straight pipe 210 ft
Long sweep elbow 5 pcs
Standard Tee 2 pcs
Globe valve 1 pc
Checked valve 1 pc
Gate valve (fully open) 1 pc
Discharge side (4.0” Փ)
Straight pipe 200 ft
Standard elbow 4 pcs
Standard Tee 3 pcs
Gate valve (fully open) 1 pc
It requires a specific displacement before the flow become fully developed. Entry length
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Find the loss in total pressure for each run in the simple duct system of Fig. 1, using the
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150 cfm
e.
a
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3.
20 ft
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150 cfm
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Round to Rectangular boot, Straight
45 deg. Converging Wye
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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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- 1.2 A pipe of 50 mm diameter and 45 m long is connected to a large tank, the entrance to the pipe being 3m below the surface. The lower end of the pipe which is 6 m below the upper end is joined to a horizontal pipe of 100 mm diameter and 75 m long which discharges to atmosphere. Calculate the discharge taking into account the sudden enlargement and entry losses: f = 0.008 for both pipes.arrow_forwardSOLVES TEP BY STEP DONT USE CHATGPT DONT USE AI 3. An oil of viscosity 1.8 cp and relative density 0.8 is contained in an open tank located above the application site. A 1.5-inch diameter pipe extends vertically from the bottom of the tank and is 5 m long. The oil level in the tank remains constant at 3 m above the bottom of the tank. In a case with friction the discharge speed can be obtained in the form of the following Equation. Calculate the flow rate of oil discharged per hour. Assume that the pipe is commercial steel (ε=0.05 mm). V= 2gh +f-arrow_forwardA pump is used in a building to lift water from a ground floor. The pump is pushing 60l/sec of water through a 0.1m diameter to above floor which is 5m high If the average velocity in the pipe is 6m/s. what will major energy loss if the dynamic viscosity of water is 8.9 x 10-4s. Due to vibration and noise issue in a pipe the velocity of pump is decided to set at 2.5 m/s. What will new major energy? Calculate the minor energy loss if length of the pipe is 15m. use f = 0.03, = 1, = 0.9 Analyse the relationship between frictional energy loss under different gravitational flow conditionsarrow_forward
- ) where AP is the static The Hagen-Poiseuille equation for the laminar flow through a circular pipe is: AP pressure drop measured over some length of pipe, L. Use the Hagen-Poiseuille equation and the Darcy-Weisbach equation to derive an expression for the fanning friction factor, f, for laminar flow through a circular pipe where Re is the Reynolds number. Choose one answer from the list below: of= of O None of the above 32 Re 16 Re O f = 64 Re = o f = 32μLc 3 d² 8 Re O f = 16 Rearrow_forwardOn a single plot, plot three curves that show the relationship between the pressure generated by thepump as a function of flow rate of water at 20 °C through the three branches of the piping systemshown below. Delta P on y axis and flow rate on the x axis. The pressure range is 0 to 1 MPa. (Branches 1 and 3 are in the same plane; branch 2 is located 5 m above the other two branches. Pipe inner diameter: 0.0254 mPipe material: copperTypical mass flow rate of interest: 0.5 kg/sIgnore minor losses of tee's at points A and B and any features of branch 3Consider minor losses of two 90° elbows in branch 2arrow_forwardThe flow rate through a control valve is 10 gpm. The area of the opening of the valve is 2 in^2 andthe pressure after the valve is 10 psi. What would be the approximate pressure reading at the gaugebefore the valve? Calculate the power loss across the valve?arrow_forward
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