Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 10, Problem 10.5P
A closed-form expression for the mass flow through a choked nozzle is
Derive this expression.
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A closed-form expression for the mass flow through a choked nozzle is
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Derive this expression.
Chapter 10 Solutions
Fundamentals of Aerodynamics
Ch. 10 - The reservoir pressure and temperature for a...Ch. 10 - A flow is isentropically expanded to supersonic...Ch. 10 - A Pitot tube inserted at the exit of a supersonic...Ch. 10 - For the nozzle flow given in Problem 10.1, the...Ch. 10 - A closed-form expression for the mass flow through...Ch. 10 - Prob. 10.6PCh. 10 - A convergent-divergent nozzle with an...Ch. 10 - For the flow in Problem 10.7, calculate the mass...Ch. 10 - Consider a convergent-divergent nozzle with an...Ch. 10 - A 20 half-angle wedge is mounted at 0 angle of...
Ch. 10 - The nozzle of a supersonic wind tunnel has an...Ch. 10 - We wish to design a supersonic wind tunnel that...Ch. 10 - Consider a rocket engine burning hydrogen and...Ch. 10 - For supersonic and hypersonic wind tunnels, a...Ch. 10 - Return to Problem 9.18. where the average Mach...Ch. 10 - Return to Problem 9.19, where the average Mach...Ch. 10 - A horizontal flow initially at Mach I flows over a...Ch. 10 - Consider a centered expansion wave where M1=1.0...
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- 1. Calculate the density of air entering the nozzle, if the air leaves a nozzle at a P=1.5atm and T=600K at a velocity of 400m/s. The air enters at 150 m/s and the inlet to exit diameter ratio is 3:1.5.arrow_forwardThe velocity of a fluid for (x, y, z) is given by v = (ax + by, cx + dy, 0) a. Find the conditions on the constants a, b, c and d such that there exists: ii. Irrotational flow i. Incompressible flow b. Verify that, in this case v = V(ax² + 2bxy — ay²).arrow_forward2. If the stream function is given by Y = 3xy, %3D then the velocity at a point (2, 3) will bearrow_forward
- 5. Find the rate at which a fluid flowing with constant velocity u (3,0,-1) crosses each of the following triangles: (а) [(-2, 1, 0), (5, 3, -1), (8, -5, 2)], (b) [(8, -5, 2), (5, 3,-1), (-2, 1,0)), (c) [(1,-1,0), (2, 0, 2), (3, –2, –3)), (d) [(0,0,0), (0, 1,0), (1,0,0)], (e) [(1,0,0), (0, 1,0), (0,0, 1)], (f) [(0,0,0), (0,0, 1), (0, 1, 0)), (g) [(0,0,0), (1,0, 0), (0,0, 1)].arrow_forwardIn the pipe below, an incompressible fluid flows. If the radius at A₁ is twice the at A2, V₁ V2. 2 V2 4 V2 V2/2 V2/4 A₁ V₁ A₂ 2 V₂arrow_forwardCan the following equation sets of velocities belong to a possible incompressible flow case? Vx=x+y+z^2 Vy=x-y+z Vz=2xy+y^2arrow_forward
- 3. Consider a fluid motion at a velocity Vol with a space-time varying density such that, n(x, t) = no eα²²xVoxt Find the total time change of n(x, e) as seen by an observer co-moving with the fluid (the convective or material derivative)arrow_forwardWater steam is running through the nozzle. Inlet pressure is P1=25 bars; T1=300C; V1=90m/s; A1=0.2m2. The exit parameters are: P2=11bars; T2=210C. The mass flow rate is m=2 kg/s. Determine: a.Exit velocity V2=?; b.Inlet and outlet diameters D1 and D2. show all stepsarrow_forwardb. The velocity vector in a fluid flow is given as V = 4x³i – 10x²yj + 2tk . Find (i) The velocity of a fluid particle at (2, 1, 3) at time t=1. (ii) The acceleration of a fluid particle at (2,1,3) at time t =1.arrow_forward
- For a 3-D flow with velocity components u = −x2, v = 2xy and w = y − x, determine theacceleration field.arrow_forwardA sample of steam is at a pressure of 300 kPa (x=0.75). Solve for its entropy.arrow_forward3. A simple flow model for a two-dimensional converging nozzle is the distribution U,(1+ v = -U, L w = 0 Determine equation for the streamlines.arrow_forward
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