Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 3, Problem 3.16P
Consider the nonlifting flow over a circular cylinder of a given radius, where
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Chapter 3 Solutions
Fundamentals of Aerodynamics
Ch. 3 - For an irrotational flow. show that Bernoullis...Ch. 3 - Consider a venturi with a throat-to-inlet area...Ch. 3 - Consider a venturi with a small hole drilled in...Ch. 3 - Consider a low-speed open-circuit subsonic wind...Ch. 3 - Assume that a Pitot tube is inserted into the...Ch. 3 - A Pilot tube on an airplane flying at standard sea...Ch. 3 - At a given point on the surface of the wing of the...Ch. 3 - Consider a uniform flow with velocity V. Show that...Ch. 3 - Show that a source flow is a physically possible...Ch. 3 - Prove that the velocity potential and the stream...
Ch. 3 - Prove that the velocity potential and the stream...Ch. 3 - Consider the flow over a semi-infinite body as...Ch. 3 - Derive Equation (3.81). Hint: Make use of the...Ch. 3 - Derive the velocity potential for a doublet; that...Ch. 3 - Consider the nonlifting flow over a circular...Ch. 3 - Consider the nonlifting flow over a circular...Ch. 3 - Consider the lifting flow over a circular cylinder...Ch. 3 - The lift on a spinning circular cylinder in a...Ch. 3 - A typical World War I biplane fighter (such as the...Ch. 3 - The Kutta-Joukowski theorem, Equation (3.140), was...Ch. 3 - Consider the streamlines over a circular cylinder...Ch. 3 - Consider the flow field over a circular cylinder...Ch. 3 - Prove that the flow field specified in Example 2.1...
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- Show that the bernoulli equation for a streamline is p/density + p^2/2 +gz = constant along a streamlinearrow_forwardSources of equal strength m are placed at the four symmetricpositions (x, y) = (a, a), (-a, a), (-a, -a), and (a, -a).Sketch the streamline and potential line patterns. Do anyplane “walls” appear?arrow_forwardInvestigate the complex potential f(z) = A cosh [π(z/a)],and plot the streamlines inside the region shown in Fig.What hyphenated word (originally French) mightdescribe such a flow pattern?arrow_forward
- What is the flow pattern? Plot the velocity field, potential field, and streamlines. Please explain it in detail.arrow_forwardConsider inviscid flow along the streamline approachingthe front stagnation point of a sphere, as in Fig. Find(a) the maximum fluid deceleration along this streamlineand (b) its position.arrow_forwardPlot the streamlines and potential lines of the flow due to aline source of strength 3m at (a, 0) plus a sink -m at(-a, 0). What is the pattern viewed from afar?arrow_forward
- Consider the Eulerian velocity u=(4y−16x)i+(16y−60x)j, where (x,y)are Cartesian coordinates. Determine the stream functionarrow_forwardConsider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and v = 2yt. Do the fluid elements experience angular rotation? Thus, state whether the flow field is rotational or irrotational.arrow_forwardAir flows along a horizontal, curved streamline with a 5.486 m radius with a speed of 31.09 m/s. Determine the magnitude of pressure gradient normal to the streamline. Take rho = 1.2266 kg/m3arrow_forward
- Show that the incompressible flow distribution, in cylindricalcoordinates,vr = 0 vθ = Crn vz = 0where C is a constant, ( a ) satisfies the Navier-Stokes equationfor only two values of n . Neglect gravity. ( b ) Knowingthat p = p ( r ) only, fi nd the pressure distribution for eachcase, assuming that the pressure at r = R is p 0 . What mightthese two cases represent?arrow_forwardThe expression for stream function is described by y = x ^ 3 - 3x * y ^ 2 . Indicate whether the flow is rotational or irrotational. Determine the value or velocity potential o, if it exists.arrow_forwardConsider the following steady, two-dimensional velocity field: V-›= (u, ? ) = (0.66 + 2.1x) i->+ (−2.7 − 2.1y) j-›Is there a stagnation point in this flow field? If so, where is it?arrow_forward
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