EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
5th Edition
ISBN: 9781259151323
Author: CENGEL
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 11, Problem 26P
To determine

Define buoyancy force and state its cause. Write the magnitude of the buoyant force acting on the submerged body. Mention its direction and line of action.

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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.
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Chapter 11 Solutions

EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN

Ch. 11 - Consider a 200-ft-high, 1200-ft-wide dam filled to...Ch. 11 - A room in the lower level of a cruise ship has a...Ch. 11 - The water side of the wall of a 70-m-long dam is a...Ch. 11 - For a gate width of 2 m into the paper (Fig....Ch. 11 - Determine the resultant force acting on the...Ch. 11 - A 6-m-high, 5-m-wide rectangular plate blocks the...Ch. 11 - The flow of water from a reservoir is controlled...Ch. 11 - Repeat Prob. 11–18E for a water height of 8...Ch. 11 - A water trough of semicircular cross section of...Ch. 11 - A cylindrical tank is fully filled with water...Ch. 11 - An open settling tank shown in the figure contains...Ch. 11 - From Prob. 11-22, knowing that the density of the...Ch. 11 - Prob. 24PCh. 11 - The two sides of a V-shaped water trough are...Ch. 11 - What is buoyant force? What causes it? What is the...Ch. 11 - Consider two identical spherical balls submerged...Ch. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - The volume and the average density of an...Ch. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - Prob. 37PCh. 11 - A 170-kg granite rock ( = 2700 kg/m3) is dropped...Ch. 11 - It is said that Archimedes discovered his...Ch. 11 - Prob. 40PCh. 11 - An air-conditioning system requires a 34-m-long...Ch. 11 - Prob. 42RQCh. 11 - Prob. 43RQCh. 11 - Prob. 45RQCh. 11 - Prob. 46RQCh. 11 - A semicircular 40-ft-diameter tunnel is to be...Ch. 11 - Prob. 48RQCh. 11 - Prob. 49RQCh. 11 - The average density of icebergs is about 917...Ch. 11 - Prob. 51RQCh. 11 - Prob. 52RQCh. 11 - Prob. 53RQ
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