Mechanics of Fluids, Student – Solutions Manual 4th. Edition by Merle C. Potter, David C. Wiggert, Bassem H. Ramadan | Holooly

Mechanics of Fluids, Student – Solutions Manual [EXP-20416]

611 SOLVED PROBLEMS

Question: 2.70

(a) Determine the magnitude, direction, and line of action of the horizontal and vertical components of the hydrostatic force acting on curved surface AB shown in Fig. P2.70, which has a radius of 2 m and a width of 4 m. (b) Assume that the water exists on the opposite side of the vertical barrier

Verified Answer:

A free-body-diagram of the volume of water in the ...

Question: 4.16

(a) State the necessary conditions for momentum of a system to remain constant. (b) State the necessary conditions for energy of a system to remain constant. (c) Show the detailed steps and state the assumptions that allow Eq. 4.2.3 to be reduced to ∑ F = ma.

Verified Answer:

b) The energy transferred to or from the system mu...

Question: 8.92

A 0.8-m-diameter cylinder is placed in a 20-m/s atmospheric airflow. At what rotational speed should the cylinder rotate so that only one stagnation point exists on its surface? Calculate the minimum pressure acting on the cylinder if p = 0 at x=-∞

Verified Answer:

v_θ=-2×20\sin θ - \frac{Γ}{2π× 0.4 } [/late...

Question: 4.13

A 1 cm × 20 cm sheet of water is deflected as shown in Fig. P4.13.The magnitude of the total force acting on the stationary deflector is nearest:

Verified Answer:

(D)

−F_x = \dot{m} (V_{2x} −V_{1x} ) = 100...

Question: 4.64

A 1-m^3-rigid tank initially contains compressed air at 15°C. Air is being removed from the tank through a 3-cm-diameter pipe, as shown in Fig. P4.64. If the velocity and density of air in the pipe are 200 m/s and 1.8 kg/m^3 , respectively, determine the initial rate at which the pressure inside

Verified Answer:

Choose the control volume to consist of the air vo...

Question: 6.66

A 1:10 scale model of a propeller on a ship is to be tested in a water channel. What should be the rotational speed of the model if the rotational speed of the propeller is 2000 rpm and: (a) The Froude number governs the study? (b) The Reynolds number governs the study?

Verified Answer:

a)

Fr_m=Fr_p . \frac{V_m^2}{\ell _...

Question: 6.50

A 1:10 scale model of an airplane propeller is to be tested in a laboratory using a wind tunnel. The prototype on which we are to estimate the thrust moves at V = 200 km/hr at 8000 m altitude. Assuming the prototype and model have geometric similarity, use the result from Problem 6.28

Verified Answer:

Properties of the atmosphere at 8 km altitude: T =...

Question: 6.48

A 1:10 scale model study of an automobile is proposed. A prototype speed of 100 km/h is desired. What wind-tunnel speed should be selected for the model study? Comment on the advisability of such a speed selection.

Verified Answer:

Re_m =Re_p . \frac{V_m\ell _m}{\nu ...

Question: 6.64

A 1:20 scale model of an aircraft is tested in a 23°C wind tunnel. A speed of 200 m/s is used in the model study. A drag force of 10 N is measured. What prototype speed and drag force does this simulate if the elevation is:

Verified Answer:

Mach No. is the significant parameter:

M_m...

Question: 6.54

A 1:30 scale model of a ship is to be tested with complete similarity. What should be the viscosity of the model fluid? Is such a liquid possible? What conclusion can be stated?

Verified Answer:

Re_m =Re_p . \frac{V_m\ell _m}{\nu ...

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