Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 3, Problem 3.15P
Consider the nonlifting flow over a circular cylinder. Derive an expression for the pressure coefficient at an arbitriry point
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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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- Can you help me, thank you.arrow_forwardIf the velocity profile of a fluid over a flat plate is parabolic with free stream velocity of 120 cm/s occurring at 20 cm from the plate. Find the velocity gradient and shear stress at a distance of 10 cm from plate. dynamic viscosity = 8.5 Poisearrow_forward3. The velocity components in a two dimensional flow field for an incompressible fluid are expressed as u = 2y -. v = xy? – 2y - 3' (a) Show that these functions represents a possible case of an irrotational flow, (b) obtain an expression for the stream function y and (c) obtain an expression for the velocity potential o.arrow_forward
- Solve itarrow_forwardthis is not simple couette flow! the walls on the side have an effect on the velocity profile, but im not sure how. 1. Consider a two-dimensional rectangular region which is very long and narrow, and filled with a fluid. Along one of the long walls is a conveyor belt, which moves with constant velocity U. Near the center of the region, far from the ends, the flow may be assumed to be parallel flow. Find U(y).arrow_forward(c) A flow field consists of two free vortices which are rotating in clockwise direction with the strengths, K of 20 m²/s and 15 m/s located at points A(3, 3) and B(-4,-4) respectively. Sketch the whole flow field and indicate all the points (A, B, C and stagnation (i) point(s), note that point C (-4,0) is given in part (iii)) and velocities involved clearly. (ii) Find the stagnation point or points of this flow field and indicate the coordinate or coordinates clearly. (iii) Find the resultant velocity (both magnitude and angle with x-axis) at point C(-4, 0). K Note: For free vortex, the velocity components are v, = 0 and v, ==. rarrow_forward
- I need the answer as soon as possiblearrow_forwardThevelocity components in thex and y directions are given by u = Ary3 – x²y, v = xy? -÷y*. The value of 1 for a possible flow field involving an incompressible fluid isarrow_forwardConsider the laminar flow between two parallel plates (separation: a) where theupper plate moves with a constant velocity U, while the bottom one is stationary. Theflow is generated due to the combined effect of an applied pressure gradient and theupper moving plate.The velocity profile is shown in the image. (a) Find the shear stress of the equation shown in the image. (b) Find the volumetric flow rate if the width of both plates is W.(c) Find the average velocity.(d) Find the maximum velocity. At which location is the velocity maximum?arrow_forward
- The velocity components in the x and y directions are given by 3 u = Axy3 - x2y, v = xy2 -- The value of a for a possible flow field involving an incompressible fluid isarrow_forward8arrow_forwardFor fully-developed laminar flow through a pipe with ra- dius R, the fluid velocity is very accurately modeled as V = (Ur, Up, U₂) = (0,0, uz), with the axial component of velocity given by Ө where ue is the fluid speed at the center of the pipe, r = 0). Compare the momentum flux for the laminar flow velocity distribution, uz (r), with that for a uniform flow having (constant) speed uave = uc/2, recalling that the momentum flux through a control surface is given by U₂(7) = uc [1 − (77)²], z MF √ PV (V - ñ) dA. Answer: |MF|lam = |MF|avearrow_forward
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