Fluid Mechanics and Hydraulics 4th. Edition by Cheng Liu, Giles Ranald, Jack Evett | 9780071831451 | 0071831452 | Holooly

Hydraulic, Fluid Mechanics

Fluid Mechanics and Hydraulics [EXP-20423]

430 SOLVED PROBLEMS

Question: 10.7

(a) A wide rectangular channel flows 4 ft deep on a slope of 4 ft in 10,000 ft. Using the theoretical formula for velocity in Problem 10.4, calculate values of theoretical velocities at depth increments of 1/10 depth, assuming the channel is smooth. (b) Compare the average of the 0.2 and 0.8 depth

Verified Answer:

\text { (a) Since } v_{*}=\sqrt{\tau_{o} / ...

Question: 5.10

(a) At what speed must the tank in Problem 5.9 be rotated for the center of the bottom to have zero depth of water? (b) If the bottom circumferential plate is 1/4 in thick, what is the stress in that plate?

Verified Answer:

(a) Origin S will now be at point C in Fig. 5-7. v...

Question: 2.8

(a) Convert a pressure head of 4.60 m of water to meters of oil, sp gr 0.750. (b) Convert a pressure head of 24 in of mercury to feet of oil, sp gr 0.750.

Verified Answer:

(a)

h_{oil}=\frac{h_{water}}{sp\ gr\ oil}=\...

Question: 10.31

(a) Determine the most efficient section of a trapezoidal channel, n = 0.025, to carry 450 cfs. To prevent scouring, the maximum velocity is to be 3.00 ft/sec and the side slopes of the trapezoidal channel are 1 vertical to 2 horizontal. (b) What slope S of the channel is required? Refer to

Verified Answer:

(a)

R=\frac{y}{2}=\frac{A}{p}=\frac{b ...

Question: 3.1

(a) Develop the equation for the hydrostatic force acting on a plane area, and (b) locate the force.

Verified Answer:

(a) Let trace AB represent any plane area acted up...

Question: 6.34

(a) Evaluate the model scale when both viscous and gravity forces are necessary to secure similitude. (b) What should be the model scale if oil of viscosity 9.29 x 10^–5 m^2/s is used in the model tests and the prototype liquid has a viscosity of 74.3 x 10^–5 m^2/s ? (c) What would be the velocity

Verified Answer:

(a) For this situation, both the Reynolds number a...

Question: 1.4

(a) Find the change in volume of 1.00 ft^3 of water at 80°F when subjected to a pressure increase of 300 psi.(b) From the following test data determine the bulk modulus of elasticity of water: at 500 psi the volume was 1.000 ft^3,and at 3500 psi the volume was 0.990 ft^3.

Verified Answer:

(a) From Table 1C in the Appendix, E at 80°F is 32...

Question: 4.9

(a) Neglecting the thickness of the tank walls in Fig. 4-7(a), if the tank floats in the position shown, what is its weight? (b) If the tank is held so that the top is 10 ft below the surface of the water, what is the force on the inside top of the tank?

Verified Answer:

(a) Weight of tank = weight of displaced liquid = ...

Question: 7.13

(a) Outline the procedure for drawing the flow net for two-dimensional steady flow of an ideal fluid between the boundaries indicated in Fig. 7-6. (b) If the uniform velocities at section 2 equal 9.0 m/s and the values of Δn2 are each 0.03 m, determine flow q and the uniform velocities at section 1

Verified Answer:

(a) The procedure of preparing the flow net for th...

Question: 13.11

(a) Referring to Fig. 13-5, at what angle should a jet of water moving at 50.0 ft/sec impinge upon a series of blades moving at 20.0 ft/sec in order that the water will strike tangent to the blades (no shock)? (b) What power is developed if the flow is 2.86 cfs? (c) What is the efficiency of the

Verified Answer:

(a)

\text { velocity of water }=\text { ...

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