Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 15, Problem 55P
To determine
The reason for delayed flow separation in the flow over a cylinder when the boundary layer is turbulent.
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A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
=
mgr
horizontal plane.
is applied to the rod. Assume that the bowl is fixed and its rim is in the
HINT: It will help you to find the length l of that portion of the rod that remains outside the
bowl.
M
2r
Ꮎ
a) How many degrees of freedom does this system have?
b) Write an equation for the virtual work in terms of the angle 0 and the motion of the
center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M = 0), derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation
e) In the case of an applied moment (i.e., M:
=
mgr
4
-) derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can the angle 0 and…
Solve this problem and show all of the work
Solve this problem and show all of the work
Chapter 15 Solutions
Fundamentals of Thermal-Fluid Sciences
Ch. 15 - Prob. 1PCh. 15 - Define the frontal area of a body subjected to...Ch. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Name some applications in which a large drag is...Ch. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10P
Ch. 15 - Prob. 11PCh. 15 - What is the difference between skin friction drag...Ch. 15 - Prob. 13PCh. 15 - What is the effect of streamlining on (a) friction...Ch. 15 - What is flow separation? What causes it? What is...Ch. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - The resultant of the pressure and wall shear...Ch. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - A submarine can be treated as an ellipsoid with a...Ch. 15 - Prob. 29PCh. 15 - During major windstorms, high vehicles such as RVs...Ch. 15 - Prob. 31PCh. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - Prob. 34PCh. 15 - Prob. 35PCh. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Prob. 39PCh. 15 - Prob. 40PCh. 15 - Prob. 41PCh. 15 - Prob. 42PCh. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Prob. 45PCh. 15 - Prob. 46PCh. 15 - Prob. 48PCh. 15 - Prob. 49PCh. 15 - Prob. 51PCh. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Prob. 54PCh. 15 - Prob. 55PCh. 15 - Prob. 56PCh. 15 - Prob. 57PCh. 15 - Prob. 58PCh. 15 - Prob. 59PCh. 15 - Prob. 60PCh. 15 - Prob. 61PCh. 15 - Prob. 62PCh. 15 - A 2-m-long, 0.2-m-diameter cylindrical pine log...Ch. 15 - Prob. 64PCh. 15 - Prob. 65PCh. 15 - Prob. 66PCh. 15 - Prob. 67PCh. 15 - Prob. 68PCh. 15 - Prob. 69PCh. 15 - Prob. 70PCh. 15 - Prob. 71PCh. 15 - Prob. 72PCh. 15 - What is induced drag on wings? Can induced drag be...Ch. 15 - Prob. 74PCh. 15 - Prob. 75PCh. 15 - Prob. 76PCh. 15 - Prob. 77PCh. 15 - Consider an airplane whose takeoff speed is 220...Ch. 15 - Prob. 79PCh. 15 - Prob. 80PCh. 15 - Prob. 82PCh. 15 - Prob. 83PCh. 15 - Prob. 84PCh. 15 - Prob. 85PCh. 15 - Prob. 86RQCh. 15 - A 1.2-m-external-diameter spherical tank is...Ch. 15 - Prob. 88RQCh. 15 - Prob. 89RQCh. 15 - Prob. 91RQCh. 15 - Prob. 92RQCh. 15 - Prob. 93RQCh. 15 - Prob. 94RQCh. 15 - Prob. 95RQCh. 15 - Prob. 96RQCh. 15 - Prob. 97RQCh. 15 - Prob. 98RQCh. 15 - Prob. 99RQCh. 15 - Prob. 100RQCh. 15 - Prob. 102RQ
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