Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 3, Problem 3.19P
A typical World War I biplane fighter (such as the French SPAD shown in Figure 3.50) has a number of vertical interwing struts and diagonal bracing wires. Assume for a given airplane that the total length for the vertical struts (summed together) is 25 ft. and that the struts are cylindrical with a diameter of 2 in. Assume also that the total length of the bracing wires is 80 ft. with a cylindrical diameter of
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A cylindrical pin made from 1010 steel and a diameter of 0.188 inches is partially placed in a bushing as seen in the image. The bushing is rigid and does not move.
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A pressurized tank of water has a 10-cm-diameter orifice at the bottom, where water discharges to the atmosphere. The water level is
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The initial discharge rate of water from the tank is determined to be 18.683
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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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- 4) Calculate the thrust reduction due to the existence of a shock wave at the exit of the rocket no: given below, compared to the no shock case. P=200kPa I M=1.4 MCI M = 1 T=mle A₂ = 3m²arrow_forward3. (30 minutes) Find the mass flow rate for the converging-diverging nozzle below. A₁=0.1 m² V₁ = 150 m/s P₁ = 100 kPa T₁ = 20°C M>1arrow_forwardQ4. Derive the y-momentum equation for a thin laminar boundary layer using the general form of the y-momentum equation for two-dimensional and steady flow given below. до pu +pv- Əx до др მ dy ду +(x+7) ди дхarrow_forward
- 1) Solve the problem using the superposition method. Check that your answer is correct.For steel, use a Poisson's ratio of 0.3.arrow_forward3. Consider a subsonic compressible flow in Cartesian coordinates where the perturbation velocity potential is given by: 20 $(x,y) = -2π e 1-M sin(2x) √1 - M² The free-stream properties are Vo。 = 200 m/s, p∞ = 150 kPa and T∞ = 250 K. po a. Compute the Mach number at the location (x, y) = (0.8, 0.2). b. Compute the pressure coefficient at the wall at the wall at (x, y) = (0.8,0) using both the = 2 2û | and the small perturbation approximation (Cp = -2). exact relation [Cp = M-1)] andarrow_forwardQ2) (30 minutes) The pressure distribution over a curved surface is given below. Find an expression for the friction coefficient assuming there exists a turbulent boundary layer over the surface with a power law velocity profile as given in the figure. y P/Pmax 1.0 0.5- 0.25 - u = de y б → อ 0.3 1.0 ри 0 = PeUe de dx 8* = 1 - ри PeUe (1-0)ay 0 due -- Ue dx = dy 1 - Ue dy + น dy = (2 + H) = 1 Cf 2 - и Ue dy v2 + + gz = constant 2 Ρarrow_forward
- Q3. A piecewise linear function approximates the velocity profile in an incompressible boundary layer flow over a flat plate, as shown in the figure below. Under the assumption of a constant edge velocity (U) in the streamwise direction (i.e., the x direction), calculate the skin friction coefficient as a function of the Reynolds number. وانه δ со 2/3 Ve Ve u 1- 8* = √² (1 - Du₂) dy pu ри PeUe น 9 = √²* Du (1-7) dy de dx 0 PeUe δ + 0 due (2+0²) = 12/24 Ue dx 8 ≤ 100arrow_forward4. The streamwise velocity component (u) for a laminar boundary layer is given by: u = Ue 8 = b√√x where b is a constant and U is the edge velocity. Obtain an expression for the vertical velocity component (v) at the edge of the boundary layer.arrow_forwardPlease Solve Q1&Q2&Q3arrow_forward
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