Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9, Problem 1CP
Explain the fundamental differences between a flow domain and a control volume.
Expert Solution & Answer
To determine
The difference between a flow domain and a control volume.
Explanation of Solution
The difference between Control Volume and the Flow domain is tabulated below:
| S.No. | Control volume | Flow domain |
| The control volume analysis of an object is the integral analysis. | The flow domain analysis of an object is the differential analysis. | |
| The only overall features of the flow are calculated in the control volume analysis. | The flow properties like velocity or pressure can be calculated at all points inside or outside of the object. | |
| The information of flow like velocity or pressure at the points inside the object cannot be obtained in this analysis. So the interior of the object is treated as a black box. | The flow domain is the differential analysis as an analysis of the millions of tiny control volumes throughout the flow field. |
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10−9. The state of strain at the point has components of ϵx = −100(10−6), ϵy = −200(10−6), and γxy=100(10−6). Use the strain transformation equations to determine (a) the in-plane principal strains and (b) the maximum in-plane shear strain and average normal strain. In each case specify the orientation of the element and show how the strains deform the element within the x−y plane.
The strain gage is placed on the surface of the steel boiler as shown. If it is 0.5 in. long, determine the pressure in the boiler when the gage elongates 0.2(10−3) in. The boiler has a thickness of 0.5 in. and inner diameter of 60 in. Also, determine the maximum x, y in-plane shear strain in the material. Take Est=29(103)ksi, vst=0.3.
Chapter 9 Solutions
Fluid Mechanics: Fundamentals and Applications
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