Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 2, Problem 2.14P
In Example 2.1, the statement is made that the streamline an infinite distance above the wall is straight. Prove this statement.
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b) In a flow field, there are two sources having equal strengths located along the x-axis at
x = 0 and x = 3 m, and a sink located on the y -axis at y = 3 m as illustrated in Figure
Q2(b). If the strength for each source is 0.5 m²/s and for the sink is 1.0 m²/s, determine
the magnitude and direction of the fluid velocity at point P (x, y) = (6 m, 0 m).
Y
B
P
3 m
A
3 m
6m
Figure Q2(b)
X
O2. Two immiscible liquids of equal thickness h are being sheared between a fixed and a moving
plate, as in Fig. 2. Gravity is neglected, and there is no variation with x. Find an expression for (i)
the velocity at the interface and (ii) the shear stress in each fluid. Assume steady laminar flow.
Fluid layer
Fixed
Fig. 1
Fig. 2
Sometimes the simplest things in nature exhibit a stunning and elegant beauty. Consider the slow running faucet in the
picture below. You've probably seen many times how the column of water is thinner at the bottom than at the top. Today, we
will analyze this beautiful image.
Velocity = V1
Radius = r1
y%3y1
Velocity = v, Radius = r2
V2=0
Both location 1 and location 2 in the figure are outside the faucet and the water is in contact with air at both places. The top
(starting) location is at a height y, = 0.26 meters and the end location is y2 = 0. At the top location, the water has a velocity
%3D
V, = 2.00 m/s and the stream of water has a radius of r; = 0.011 meters.
Use your knowledge of fluids to determine all the following:
The volume rate of flow leaving the faucet:
m³/sec
The velocity of the fluid at location 2: V2 =
m/s
The radius of the fluid stream at location 2: r2 =
meters
NOTE: You will not need pressure or density to solve this problem.
Chapter 2 Solutions
Fundamentals of Aerodynamics
Ch. 2 - Consider a body of arbitrary shape. If the...Ch. 2 - Consider an airfoil in a wind tunnel (i.e., a wing...Ch. 2 - Consider a velocity field where the x and y...Ch. 2 - Consider a velocity field where the x and y...Ch. 2 - Consider a velocity field where the radial and...Ch. 2 - Consider a velocity field where the x and y...Ch. 2 - The velocity field given in Problem 2.3 is called...Ch. 2 - The velocity field given in Problem 2.4 is called...Ch. 2 - Is the flow field given in Problem 2.5...Ch. 2 - Consider a flow field in polar coordinates, where...
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