Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 12, Problem 3CAEA
Write a program or a spreadsheet for analyzing parallel pipeline systems with two branches of the type demonstrated in Example Problem 12.21. Use an approach similar to that described for Assignment 1.
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Generate the kinematic diagram of the following mechanism. Then, draw their graphs and calculate their degrees of freedom (DoF) using Gruebler's formula.
An elastic bar of length L = 1m and cross section A = 1cm2 spins with
angular velocity ω about an axis, as shown in the figure below. The
radial acceleration at a generic point x along the bar is a(x) = ω2x,
where ω= 100rad/s is the angular velocity. The bar is pinned on the
rotation axis at x = 0. A mass M = 1kg is attached to the right end of
the bar. Due to the radial acceleration, the bar stretches along x with
displacement function u(x). The displacement u(x) solves the BVP
(strong form) sketched below:
d
dx (σ(x)) + ρa(x) = 0 PDE
σ(x) = E du
dx Hooke’s law
(1)
u(0) =?? essential BC
σ(L) =?? natural BC
where σ(x) is the axial stress in the rod, ρ= 2700kg /m3 is the mass
density, and E = 70GPa is the Young’s modulus
1. Define appropriate BCs for the strong BVP
2. Find the solution of the strong BVP analytically
3. Derive the weak form of the BVP.
Gruebler's formula for the following mechanism?
Chapter 12 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 12 - Figure 12.7 shows a branched system in which the...Ch. 12 - Using the system shown in Fig. 12.2 and the data...Ch. 12 - In the branched pipe system shown in Fig. 12.8...Ch. 12 - In the branched-pipe system shown in Fig. 12.9...Ch. 12 - A 160mm pipe branches into a 100mm and a 50mm pipe...Ch. 12 - For the system shown in Fig. 12.11 the pressure at...Ch. 12 - Solve Problem 12.4 using the Cross technique.Ch. 12 - Solve Problem 12.3 using the Cross techniqueCh. 12 - Find the flow rate of water at 60Fin each pipe of...Ch. 12 - Figure 12.13 represents a spray rinse system in...
Ch. 12 - Figure 12.14 represents the water distribution...Ch. 12 - Figure 12.15 represents the network for delivering...Ch. 12 - Work Problem 12.4 using PIPE-FLO software. Display...Ch. 12 - 2. Enhance the program from Assignment 1 so that...Ch. 12 - Write a program or a spreadsheet for analyzing...
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