Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 11, Problem 11.46PP
For the system designed in Problem 11.45, compute the total head on the pump.
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Spur gears
Note : Exam is open notes &tables / Answer all questions.
Q.1. The press shown for Figure.1 has a rated load
of 22 kN. The twin screws have double start Acme
threads, a diameter of 50 mm, and a pitch of 6 mm.
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Chapter 11 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 11 - Water at 10C flows from a large reservoir at the...Ch. 11 - For the system shown in Fig. 11.14, kerosene (...Ch. 11 - Figure 11.15 shows a portion of a hydraulic...Ch. 11 - Figure 11.16 shows part of a large hydraulic...Ch. 11 - Oil is flowing at the rate of 0.015m3/s in the...Ch. 11 - For the system shown in Fig. 11.18, calculate the...Ch. 11 - A liquid refrigerant flows through the system,...Ch. 11 - Water at 100F is flowing in a 4-in Schedule 80...Ch. 11 - A hydraulic oil is flowing in a drawn steel...Ch. 11 - In a processing plant, ethylene glycol at 77F is...
Ch. 11 - Water at 15C is flowing downward in a vertical...Ch. 11 - Turpentine at 77F is flowing from A to B in a 3...Ch. 11 - ]11.13 A device designed to allow cleaning of...Ch. 11 - Kerosene at 25C is flowing in the system shown in...Ch. 11 - Water at 40C is flowing from A to B through the...Ch. 11 - Oil with a specific gravity of 0.93 and a dynamic...Ch. 11 - Determine the required size of new Schedule 80...Ch. 11 - What size of standard hydraulic copper tube from...Ch. 11 - Water at 60F is to flow by gravity between two...Ch. 11 - The tank shown in Fig. 11.24 is to be drained to a...Ch. 11 - Figure 11.25 depicts gasoline flowing from a...Ch. 11 - For the system in Fig. 11.26, compute the pressure...Ch. 11 - For the system in Fig. 11.26, compute the total...Ch. 11 - For the system in Fig. 11.26 specify the size of...Ch. 11 - A manufacturer of spray nozzles specifies that the...Ch. 11 - Specify the size of new Schedule 40 steel pipe...Ch. 11 - Refer to Fig. 11.27. Water at 80C is being pumped...Ch. 11 - For the system shown in Fig. 11.27 and analyzed in...Ch. 11 - In a water pollution control project, the polluted...Ch. 11 - Repeat Problem 11.29, but use a 3-in Schedule 40...Ch. 11 - Water at 10C is being delivered to a tank on the...Ch. 11 - If the pressure at point A in Fig. 11.29 is 300...Ch. 11 - Change the design of the system in Fig. 11.29 to...Ch. 11 - It is desired to deliver 250 gal/min of ethyl...Ch. 11 - For the system shown in Fig. 11.30, compute the...Ch. 11 - Repeat Problem 11.35, but consider the valve to be...Ch. 11 - Repeat Problem 11.35, but consider the valve to be...Ch. 11 - Figure 11.31 depicts a DN 100 Schedule 40 steel...Ch. 11 - Repeat Problem 11.38 but replace the globe valve...Ch. 11 - Repeat Problem 11.38 but use a DN 125 Schedule 40...Ch. 11 - Repeat Problem 11.38, but replace the globe valve...Ch. 11 - It is desired to drive a small,...Ch. 11 - Figure 11.32 shows a pipe delivering water to the...Ch. 11 - Repeat Problem 11.43, except consider that there...Ch. 11 - A sump pump in a commercial building sits in a...Ch. 11 - For the system designed in Problem 11.45, compute...Ch. 11 - Figure 11.33 shows a part of a chemical processing...Ch. 11 - For the system described in Problem 11.47, and...Ch. 11 - For the system described in Problem 11.47, and...Ch. 11 - For the system described in Problem 11.47, and...Ch. 11 - Analyze the system shown in Fig. 11.11 with...Ch. 11 - Create a program or a spreadsheet for analyzing...Ch. 11 - Create a program or a spreadsheet for determining...
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- Problem 2 (55 pts). We now consider the FEM solution of Problem 1.(a) [5pts] Briefly describe the 4 steps necessary to obtain the approximate solution of thatBVP using the Galerkin FEM. Use the minimum amount of math necessary to supportyour explanations.(b) [20pts] Derive the weak form of the BVP.(c) [10pts] Assuming a mesh of two equal elements and linear shape functions, sketch byhand how you expect the FEM solution to look like. Also sketch the analytical solutionfor comparison. In your sketch, identify the nodal degrees of freedom that the FEMsolution seeks to find.(d) [10pts] By analogy with the elastic rod problem and heat conduction problem considered in class, write down the stiffness matrix and force vector for each of the twoelements considered in (c).(e) [10pts] Assemble the global system of equations, and verbally explain how to solve it.arrow_forwardAn aluminum rod of length L = 1m has mass density ρ = 2700 kgm3 andYoung’s modulus E = 70GPa. The rod is fixed at both ends. The exactnatural eigenfrequencies of the rod are ωexactn =πnLqEρfor n=1,2,3,. . . .1. What is the minimum number of linear elements necessary todetermine the fundamental frequency ω1 of the system? Discretizethe rod in that many elements of equal length, assemble the globalsystem of equations KU = ω2MU, and find the fundamentalfrequency ω1. Compute the relative error e1 = (ω1 − ωexact1)/ωexact1.Sketch the fundamental mode of vibration.arrow_forwardProblem 1 (65 pts, suggested time 50 mins). An elastic string of constant line tension1T is pinned at x = 0 and x = L. A constant distributed vertical force per unit length p(with units N/m) is applied to the string. Under this force, the string deflects by an amountv(x) from its undeformed (horizontal) state, as shown in the figure below.The PDE describing mechanical equilibrium for the string isddx Tdvdx− p = 0 . (1)(a) [5pts] Identify the BCs for the string and identify their type (essential/natural). Writedown the strong-form BVP for the string, including PDE and BCs.(b) [10pts] Find the analytical solution of the BVP in (a). Compute the exact deflectionof the midpoint v(L/2).(c) [15pts] Derive the weak-form BVP.(d) [5pts] What is the minimum number of linear elements necessary to compute the deflection of the midpoint?(e) [15pts] Write down the element stiffness matrix and the element force vector for eachelement.arrow_forward
- Problem 1 (35 pts). An elastic string of constant line tension1 T is pinned at x = 0 andx = L. A constant distributed vertical force per unit length p (with units N/m) is appliedto the string. Under this force, the string deflects by an amount v(x) from its undeformed(horizontal) state, as shown in the figure below.Force equilibrium in the string requires thatdfdx − p = 0 , (1)where f(x) is the internal vertical force in the string, which is given byf = Tdvdx . (2)(a) [10pts] Write down the BVP (strong form) that the string deflection v(x) must satisfy.(b) [2pts] What order is the governing PDE in the BVP of (a)?(c) [3pts] Identify the type (essential/natural) of each boundary condition in (a).(d) [20pts] Find the analytical solution of the BVP in (a).arrow_forwardProblem 2 (25 pts, (suggested time 15 mins). An elastic string of line tension T andmass per unit length µ is pinned at x = 0 and x = L. The string is free to vibrate, and itsfirst vibration mode is shown below.In order to find the frequency of the first mode (or fundamental frequency), the string isdiscretized into a certain number of linear elements. The stiffness and mass matrices of thei-th element are, respectivelyESMi =TLi1 −1−1 1 EMMi =Liµ62 11 2 . (2)(a) [5pts] What is the minimum number of linear elements necessary to compute the fundamental frequency of the vibrating string?(b) [20pts] Assemble the global eigenvalue problem and find the fundamental frequency ofvibration of the stringarrow_forwardI need part all parts please in detail (including f)arrow_forward
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