Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 6, Problem 30P
To determine
The height h at which the bowl is suspended
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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 6 Solutions
Fluid Mechanics (2nd Edition)
Ch. 6 - Prob. 1FPCh. 6 - The shield of negligible weight is held at an...Ch. 6 - Prob. 3FPCh. 6 - Crude oil flows into the open air at the same rate...Ch. 6 - The table fan develops a slipstream that has a...Ch. 6 - Prob. 6FPCh. 6 - Determine the linear momentum of a mass of fluid...Ch. 6 - Prob. 2PCh. 6 - A volumetric discharge of 1.25 m3/s passes out the...Ch. 6 - Water flows with a velocity of 6 m/s through the...
Ch. 6 - Water is ejected from the hose at A with a...Ch. 6 - Water flows out of the reducing elbow at 0.6...Ch. 6 - Oil flows through the 100-mm-diameter pipe with a...Ch. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Water flows through the elbow with a velocity of...Ch. 6 - Prob. 11PCh. 6 - The water jet is ejected from the 4-in.-diameter...Ch. 6 - The water jet is ejected from the 4-in.-diameter...Ch. 6 - Water flows through the elbow at 8 ft/s. Assuming...Ch. 6 - The steady jet of water flows from the...Ch. 6 - The steady jet of water flows from the...Ch. 6 - Crude oil flows through the horizontal tapered 45°...Ch. 6 - A speedboat is powered by the jet drive shown....Ch. 6 - The 160-lb man stands on the scale. If the bucket...Ch. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Water flows out of the reducing elbow at 0.4...Ch. 6 - Water flows through the 2-in.-diameter pipe...Ch. 6 - The pipe AB has a diameter of 40 mm. If water...Ch. 6 - Prob. 25PCh. 6 - Prob. 26PCh. 6 - Pipe AB has a diameter of 40 mm. If water flows...Ch. 6 - Pipe AB has a diameter of 40 mm. If the tensile...Ch. 6 - The disk valve is used to control the flow of...Ch. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Water flows through the pipe C at 4 m/s. Determine...Ch. 6 - Prob. 34PCh. 6 - The 1-in.-diameter pipe ejects water towards the...Ch. 6 - Prob. 36PCh. 6 - Water flows through the hose with a velocity of 3...Ch. 6 - Water flows through the hose with a velocity of 3...Ch. 6 - A 20-mm-diameter stream flows at 8 m/s against the...Ch. 6 - Determine the power required to keep the vane...Ch. 6 - Prob. 41PCh. 6 - The boat is powered by the fan, which develops a...Ch. 6 - The vane is moving at 80 ft/s when a jet of water...Ch. 6 - The car is used to scoop up water that is in a...Ch. 6 - The water stream strikes the inclined surface of...Ch. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - A 25-mm-diameter stream flows at 10 m/s against...Ch. 6 - Prob. 49PCh. 6 - Water flows into the bend fitting with a velocity...Ch. 6 - Prob. 51PCh. 6 - Water flows into the Tee fitting at 3.6 m/s. If a...Ch. 6 - Prob. 53PCh. 6 - Prob. 54PCh. 6 - If the velocity through the pipe is 4 m/s,...Ch. 6 - Water flows through the 200-mm-diameter pipe bend...Ch. 6 - Water flows through the pipe with a velocity of 5...Ch. 6 - The bend is connected to the pipe at flanges A and...Ch. 6 - The fan blows air at 6000 ft3/min. If the fan has...Ch. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - Prob. 62PCh. 6 - The lawn sprinkler consists of four arms that...Ch. 6 - Prob. 64PCh. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - The propeller of a boat discharges 67.5 ft3/s of...Ch. 6 - Determine the largest speed of the breeze that can...Ch. 6 - Prob. 71PCh. 6 - Prob. 72PCh. 6 - Prob. 73PCh. 6 - Prob. 74PCh. 6 - Prob. 75PCh. 6 - Prob. 76PCh. 6 - Prob. 77PCh. 6 - Prob. 78PCh. 6 - Prob. 79PCh. 6 - The jet is traveling at a velocity of 400 m/s in...Ch. 6 - Prob. 81PCh. 6 - Prob. 82PCh. 6 - Prob. 83PCh. 6 - The jet is traveling at 500 mi/h, 30° above the...Ch. 6 - Prob. 85PCh. 6 - Prob. 86PCh. 6 - The rocket is traveling upwards at 300 m/s and...Ch. 6 - The balloon has a mass of 20 g (empty) and it is...Ch. 6 - Prob. 89PCh. 6 - Prob. 90PCh. 6 - Prob. 91PCh. 6 - Prob. 92P
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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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- Law of Sines Solve the following problems using the Law of Sin 7. Find side x. All dimensions are in inches. -°-67°-37° 81° x Sin A 8.820 X 67°00' 32°00' a sin A b C sin B sin Carrow_forward35. a. Determine B. b. Determine side b. c. Determine side c. 5.330 in.- ZB 73°30'arrow_forwardConsider a 12 cm internal diameter, 14 m long circular duct whose interior surface is wet. The duct is to be dried by forcing dry air at 1 atm and 15 degrees C throught it at an average velocity of 3m/s. The duct passes through a chilled roo, and it remains at an average temp of 15 degrees C at all time. Determine the mass transfer coeeficient in the duct.arrow_forward
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