Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 5, Problem 5.1P
Consider a vortex filament of strength
Expert Solution & Answer
To determine
An expression for the velocity induced at the center of the loop.
Answer to Problem 5.1P
Explanation of Solution
Using Biot savrat law;
Now,
Velocity induced at the center;
Therefore, the obtained expression is
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A sink of strength 20 m2/s is situated 3 m upstream of a source of 40 m²/s in a uniform stream. It is found that, at a point 2.5 m from both source and sink, the local velocity is normal to the line joining the source and sink. Find the velocity at this point and the velocity of the uniform stream. Locate any stagnation points and sketch the flow field.
Consider a vortex filament of strength in the shape of a closed circularloop of radius R.Consider also a straight line through the center of the loop, perpendicular to the plane of the loop. Let A be the distance along this line, measured from the plane of the loop. Obtain an expression for the velocity at distance A on the line, as induced by the vortex filament.
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Consider the steady potential flow around the circular cylinder shown in the figure below. At what
minimum integer distance, y/a (along the y axis), is the velocity within 4% of the free-stream velocity?
4=0
2U
y/a =
i
!
Chapter 5 Solutions
Fundamentals of Aerodynamics
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