Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version
8th Edition
ISBN: 9781119080701
Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein
Publisher: WILEY
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Chapter 11.7, Problem 43P
(a)
To determine
The mass flow rate through duct and sketch of the temperature entropy diagram.
(b)
To determine
The mss flow rate through duct and sketch of the temperature entropy diagram.
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alpha 1 is not zero
alpha 1 can equal alpha 2
use velocity triangle to solve for alpha 1
USE MATLAB ONLY
provide typed code
solve for velocity triangle and dont provide copied answer
Turbomachienery .
GIven:
vx = 185 m/s, flow angle = 60 degrees, (leaving a stator in axial flow) R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3
Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram
Use this code for plot
% plots Velocity Tri. in Ch4
function plotveltri(al1,al2,al3,b2,b3)
S1L = [0 1];
V1x = [0 0];
V1s = [0 1*tand(al3)];
S2L = [2 3];
V2x = [0 0];
V2s = [0 1*tand(al2)];
W2s = [0 1*tand(b2)];
U2x = [3 3];
U2y = [1*tand(b2) 1*tand(al2)];
S3L = [4 5];
V3x = [0 0];
V3r = [0 1*tand(al3)];
W3r = [0 1*tand(b3)];
U3x = [5 5];
U3y = [1*tand(b3) 1*tand(al3)];
plot(S1L,V1x,'k',S1L,V1s,'r',...
S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',...…
3. Find a basis of eigenvectors and diagonalize.
4
0
-19
7
a.
b.
1-42
16
12-20
[21-61
2. Find the eigenvalues. Find the corresponding eigenvectors.
6
2
-21
[0 -3
1
3 31
a.
2 5
0
b.
3 0
-6
C.
1
1 0
-2 0
7
L6
6
0
1
1
2.
(Hint: λ =
= 3)
Chapter 11 Solutions
Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version
Ch. 11.1 - Prob. 1PCh. 11.1 - Air flows steadily between two sections in a duct....Ch. 11.1 - Consider the flow process in Fig. P11.3. Does the...Ch. 11.1 - Prob. 4PCh. 11.1 - Prob. 5PCh. 11.1 - Prob. 6PCh. 11.1 - Prob. 7PCh. 11.1 - Prob. 8PCh. 11.1 - Air flows in a 15-cm-diameter horizontal pipe. At...Ch. 11.1 - An air heater in a large coal-fired steam...
Ch. 11.2 - Determine the static pressure to stagnation...Ch. 11.2 - Prob. 12PCh. 11.2 - Prob. 13PCh. 11.2 - Prob. 14PCh. 11.2 - Prob. 15PCh. 11.3 - Prob. 16PCh. 11.3 - Prob. 17PCh. 11.3 - Prob. 18PCh. 11.3 - Prob. 19PCh. 11.3 - Prob. 20PCh. 11.3 - Prob. 21PCh. 11.3 - Prob. 22PCh. 11.4 - Prob. 23PCh. 11.4 - Prob. 24PCh. 11.4 - Prob. 25PCh. 11.4 - Prob. 26PCh. 11.4 - Prob. 27PCh. 11.4 - Air flows in a constant-area, insulated duct. The...Ch. 11.5 - Prob. 29PCh. 11.5 - The Pitot tube on a supersonic aircraft (see Video...Ch. 11.5 - An aircraft cruises at a Mach number of 2.0 at an...Ch. 11.5 - Prob. 32PCh. 11.5 - Prob. 33PCh. 11.5 - Prob. 34PCh. 11.5 - Prob. 35PCh. 11.6 - The stagnation pressure and temperature of air...Ch. 11.6 - Prob. 37PCh. 11.6 - Prob. 38PCh. 11.6 - Prob. 39PCh. 11.6 - Prob. 40PCh. 11.6 - Prob. 41PCh. 11.6 - The static pressure to stagnation pressure ratio...Ch. 11.7 - Air flows steadily and isentropically from...Ch. 11.7 - Prob. 44PCh. 11.7 - Prob. 45PCh. 11.7 - Prob. 46PCh. 11.7 - At a certain point in a pipe, air flows steadily...Ch. 11.7 - Prob. 48PCh. 11.7 - Prob. 49PCh. 11.7 - Prob. 50PCh. 11.7 - A jet engine is to be designed for an altitude of...Ch. 11.7 - Prob. 52PCh. 11.7 -
A convergent–divergent nozzle has an exit throat...Ch. 11.7 - An ideal gas flows isentropically through a...Ch. 11.8 - Standard atmospheric air (T0 = 59 F, p0 = 14.7...Ch. 11.8 - Prob. 57PCh. 11.8 - Prob. 58PCh. 11.8 - Prob. 59PCh. 11.8 - Prob. 64PCh. 11.9 - Prob. 66PCh. 11.9 - Prob. 67PCh. 11.9 - Prob. 68PCh. 11.9 - Air enters a frictionless, constant area duct with...Ch. 11.9 - Prob. 70PCh. 11.9 - Prob. 71PCh. 11.9 - Prob. 72PCh. 11.9 - Prob. 73P
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- USE MATLAB ONLY provide typed code solve for velocity triangle and dont provide copied answer Turbomachienery . GIven: vx = 185 m/s, flow angle = 60 degrees, (leaving a stator in axial flow) R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3 Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram Use this code for plot % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3) S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)]; S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)]; U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)]; S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)]; U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)]; plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),...…arrow_forwardUSE MATLAB ONLY provide typed code solve for velocity triangle and dont provide copied answer Turbomachienery . GIven: vx = 185 m/s, flow angle = 60 degrees, R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3 Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram Use this code for plot % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3) S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)]; S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)]; U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)]; S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)]; U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)]; plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),... axis([-1 6 -4 4]), ...…arrow_forwardThe answer should equal to 1157. Please sent me the solution. Thank you!arrow_forward
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