Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 2, Problem 12P
To determine
The height of oil above sea level.
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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 2 Solutions
Fluid Mechanics (2nd Edition)
Ch. 2 - Prob. 1FPCh. 2 - The container is partially filled with oil, water,...Ch. 2 - The U-tube manometer is filled with mercury,...Ch. 2 - The tube is filled with mercury from A to B, and...Ch. 2 - The air pressure in the pipe at A is 300 kPa....Ch. 2 - Determine the absolute pressure of the water in...Ch. 2 - The bin is 1.5 m wide and is filled with water to...Ch. 2 - The bin is 2 m wide and is filled with oil to the...Ch. 2 - The 2-m-wide container is filled with water to the...Ch. 2 - Determine the resultant force of the water acting...
Ch. 2 - Determine the resultant force of the water acting...Ch. 2 - The tank is filled with water and kerosene to the...Ch. 2 - The 0.5-m-wide inclined plate holds water in a...Ch. 2 - Determine the resultant force the oil exerts on...Ch. 2 - Determine the resultant force the water exerts on...Ch. 2 - The tank has a width of 2 m and is filled with...Ch. 2 - Determine the horizontal and vertical components...Ch. 2 - The plate ABC is 2 m wide. Determine the angle θ...Ch. 2 - The cylindrical cup A of negligible weight...Ch. 2 - The 3-m-wide cart is filled with water to the...Ch. 2 - Prob. 21FPCh. 2 - Prob. 22FPCh. 2 - If the open cylindrical container rotates at ω = 8...Ch. 2 - Prob. 24FPCh. 2 - Prob. 1PCh. 2 - The oil derrick has drilled 5 km into the ground...Ch. 2 - Prob. 3PCh. 2 - Oxygen in a tank has an absolute pressure of 130...Ch. 2 - If the piezometer measures a gage pressure of 10...Ch. 2 - If the absolute pressure in a tank is 140 kPa,...Ch. 2 - The field storage tank is filled with oil. The...Ch. 2 - Prob. 8PCh. 2 - The closed tank was completely filled with carbon...Ch. 2 - The soaking bin contains ethyl alcohol used for...Ch. 2 - The soaking bin contains ethyl alcohol used for...Ch. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - The tank is filled with water and gasoline at a...Ch. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - A liquid has a density that varies with depth h,...Ch. 2 - Prob. 22PCh. 2 - In the troposphere, which extends from sea level...Ch. 2 - Prob. 24PCh. 2 - A heavy cylindrical glass is inverted and then...Ch. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Butyl carbitol, used in the production of...Ch. 2 - Determine the level h′ of water in the tube if the...Ch. 2 - Determine the pressures at points A and B. The...Ch. 2 - Determine the pressure at point C. The containers...Ch. 2 - Determine the difference in pressure pB − pA...Ch. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - A solvent used for plastics manufacturing consists...Ch. 2 - A solvent used for plastics manufacturing consists...Ch. 2 - The inverted U-tube manometer is used to measure...Ch. 2 - Solve Prob. 2-37 if the top segment is filled with...Ch. 2 - The two tanks A and B are connected using a...Ch. 2 - Prob. 40PCh. 2 - Determine the height h of the mercury in the tube...Ch. 2 -
The micro-manometer is used to measure small...Ch. 2 - The Morgan Company manufactures a micro-manometer...Ch. 2 - Determine the difference in pressure pA − pB...Ch. 2 - The pipes at A and B contain oil and the...Ch. 2 - The vertical pipe segment has an inner diameter of...Ch. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - The storage tank contains oil and water acting at...Ch. 2 - The uniform rectangular relief gate AB has a...Ch. 2 -
Determine the critical height h of the water...Ch. 2 - A swimming pool has a width of 12 ft and a side...Ch. 2 - Prob. 53PCh. 2 - The uniform control gate AB is pinned at A and...Ch. 2 - Prob. 55PCh. 2 - Determine the critical height h of the water level...Ch. 2 - The gate is 2 ft wide and is pinned at A and held...Ch. 2 - The uniform rectangular relief gate AB has a...Ch. 2 - The tide gate opens automatically when the tide...Ch. 2 - The tide gate opens automatically when the tide...Ch. 2 - The bin is used to store carbon tetrachloride, a...Ch. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - The pressure of the air at A within the closed...Ch. 2 - The uniform plate, which is hinged at C, is used...Ch. 2 - Determine the placement d of the pin on the...Ch. 2 - Determine the placement d of the pin on the...Ch. 2 - The tapered settling tank is filled with oil....Ch. 2 - The tapered settling tank is filled with oil....Ch. 2 - Ethyl alcohol is pumped into the tank, which has...Ch. 2 - The bent plate is 2 m wide and is pinned at A and...Ch. 2 -
The tank is filled to its top with an industrial...Ch. 2 - Solve Prob. 20–72 using the integration...Ch. 2 - If the tank is filled with vegetable oil,...Ch. 2 -
If the tank is filled with vegetable oil,...Ch. 2 - Prob. 76PCh. 2 - Determine the resultant force acting on the...Ch. 2 - Solve Prob. 2-77 using the integration...Ch. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - Prob. 81PCh. 2 - Prob. 82PCh. 2 - Prob. 83PCh. 2 - Prob. 84PCh. 2 - Prob. 85PCh. 2 - Prob. 86PCh. 2 - Prob. 87PCh. 2 - Prob. 88PCh. 2 - Prob. 89PCh. 2 -
The control gate ACB is pinned at A and rests on...Ch. 2 - Prob. 91PCh. 2 -
The uniform plate, which is hinged at C, is used...Ch. 2 -
The bent plate is 1.5 m wide and is pinned at A...Ch. 2 - Prob. 94PCh. 2 - Prob. 95PCh. 2 - Prob. 96PCh. 2 - Prob. 97PCh. 2 - The 5-m-wide overhang is in the form of a...Ch. 2 - Determine the resultant force that water exerts on...Ch. 2 - Prob. 100PCh. 2 - Prob. 101PCh. 2 - Prob. 102PCh. 2 - Prob. 103PCh. 2 - A quarter-circular plate is pinned at A and tied...Ch. 2 - Prob. 105PCh. 2 - The semicircular gate is used to control the flow...Ch. 2 - Prob. 107PCh. 2 - Plate AB has a width of 1.5 m and a radius of 3 m....Ch. 2 - Prob. 109PCh. 2 - Prob. 110PCh. 2 - Prob. 111PCh. 2 - Prob. 112PCh. 2 - Prob. 113PCh. 2 - Prob. 114PCh. 2 - Prob. 115PCh. 2 - Prob. 116PCh. 2 - Prob. 117PCh. 2 - Prob. 118PCh. 2 - Prob. 119PCh. 2 - Prob. 120PCh. 2 - Prob. 121PCh. 2 - A glass having a diameter of 50 mm is filled with...Ch. 2 - Water in the container is originally at a height...Ch. 2 - Prob. 124PCh. 2 - Prob. 125PCh. 2 - Prob. 126PCh. 2 -
The hot-air balloon contains air having a...Ch. 2 - Prob. 128PCh. 2 - Prob. 129PCh. 2 - Prob. 130PCh. 2 - Prob. 131PCh. 2 - The truck carries an open container of water. If...Ch. 2 - Prob. 133PCh. 2 - The open rail car is 6 ft wide and filled with...Ch. 2 - Prob. 135PCh. 2 -
A large container of benzene is being transported...Ch. 2 - If the truck has a constant acceleration of 2...Ch. 2 - Prob. 138PCh. 2 - Prob. 139PCh. 2 - Prob. 140PCh. 2 - Prob. 141PCh. 2 - Prob. 142PCh. 2 - Prob. 143PCh. 2 - Prob. 144PCh. 2 - Prob. 145PCh. 2 - Prob. 146PCh. 2 - Prob. 147PCh. 2 - Prob. 3CPCh. 2 - Prob. 4CP
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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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