Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 10, Problem 10.42PP
Specify the radius in mm to the centerline of a
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Note : Exam is open notes &tables / Answer all questions.
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Chapter 10 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 10 - Determine the energy loss due to a sudden...Ch. 10 - Determine the energy loss due to a sudden...Ch. 10 - Determine the energy loss due to a sudden...Ch. 10 - Determine the pressure difference between two...Ch. 10 - Determine the pressure difference for the...Ch. 10 - Determine the energy loss due to a gradual...Ch. 10 - Determine the energy loss for the conditions in...Ch. 10 - Compute the energy loss for gradual enlargements...Ch. 10 - Plot a graph of energy loss versus cone angle for...Ch. 10 - For the data in Problem 10.8, compute the length...
Ch. 10 - Add the energy loss due to friction from Problem...Ch. 10 - Another term for an enlargement is a diffuser. A...Ch. 10 - Compute the resulting pressure after a "real"...Ch. 10 - Compute the resulting pressure after a "real"...Ch. 10 - Determine the energy loss when 0.04m3/s of water...Ch. 10 - Determine the energy loss when 1.50ft3/s of water...Ch. 10 - Determine the energy loss when oil with a specific...Ch. 10 - For the conditions in Problem 10.17, if the...Ch. 10 - True or false: For a sudden contraction with a...Ch. 10 - Determine the energy loss for a sudden contraction...Ch. 10 - Determine the energy loss for a gradual...Ch. 10 - Determine the energy lass for a sudden contraction...Ch. 10 - Determine the energy loss for a gradual...Ch. 10 - For the data in Problem 10.22, compute the energy...Ch. 10 - For each contraction described in Problems 10.22...Ch. 10 - Note in Figs. 10.10 and 10.11 that the minimum...Ch. 10 - If the contraction from a 6-in to a 3-in ductile...Ch. 10 - Compute the energy loss that would occur as 50...Ch. 10 - Determine the energy loss that will occur if water...Ch. 10 - Determine the equivalent length in meters of pipe...Ch. 10 - Repeat Problem 10.30 for a fully open gate valve.Ch. 10 - Calculate the resistance coefficient K for a...Ch. 10 - Calculate the pressure difference across a fully...Ch. 10 - Determine the pressure drop across a 90 C standard...Ch. 10 - Prob. 10.35PPCh. 10 - Repeat Problem 10.34 for a long radius elbow....Ch. 10 - A simple heat exchanger is made by installing a...Ch. 10 - A proposed alternate form for the heat exchanger...Ch. 10 - A piping system for a pump contains a tee, as...Ch. 10 - A piping system for supplying heavy fuel oil at 25...Ch. 10 - A 25 mm ODx2.0 mm wall copper tube supplies hot...Ch. 10 - Specify the radius in mm to the centerline of a 90...Ch. 10 - The inlet and the outlet shown in Fig. 10.36 are...Ch. 10 - Compare the energy losses for the two proposals...Ch. 10 - Determine the energy loss that occurs as 40 L/min...Ch. 10 - Figure 10.38 shows a test setup for determining...Ch. 10 - Compute the energy loss in a 90 bend in a steel...Ch. 10 - Compute the energy loss in a 90 bend in a steel...Ch. 10 - For the data in Problem 10.47, compute the...Ch. 10 - For the data in Problem 10.48, compute the...Ch. 10 - A tube similar to that in Problem 10.47 is being...Ch. 10 - Prob. 10.52PPCh. 10 - Prob. 10.53PPCh. 10 - Prob. 10.54PPCh. 10 - Prob. 10.55PPCh. 10 - Repeat Problem 10.55 for flow rates of 7.5 gal/min...Ch. 10 - Prob. 10.57PPCh. 10 - Prob. 10.58PPCh. 10 - Prob. 10.59PPCh. 10 - Prob. 10.60PPCh. 10 - A 34 plastic ball valve carries 15 gal/min of...Ch. 10 - A 114 plastic butterfly valve carries 60 gal/min...Ch. 10 - A 3 -in plastic butterfly valve carries 300...Ch. 10 - A 10-in plastic butterfly valve carries 5000...Ch. 10 - A 1 12 plastic diaphragm valve carries 60 gal/min...Ch. 10 - Prob. 10.66PPCh. 10 - Prob. 10.67PPCh. 10 - Prob. 10.68PPCh. 10 - Prob. 10.69PPCh. 10 - An 8 -in plastic swing check valve carries 3500...Ch. 10 - Use PIPE-FLO software to determine the pressure...Ch. 10 - Use PIPE-FLO to calculate the head loss and...
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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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