Fluid Mechanics by Bidya Sagar Pani | Holooly

Fluid Mechanics

Fluid Mechanics

54 SOLVED PROBLEMS

Question: 11.6

A rectangular channel 3.0 m in width has two reaches, A and B in series. The bed slope of reach A is 0.001 and that of the reach B is 0.01. Find the type of water surface profiles which occur in the channel for a discharge of 3.3 m³/s. Assume, Manning n = 0.012 for both the reaches. ...

Verified Answer:

The unit discharge q = 3.3/3.0 = 1.1 m²/s The crit...

Question: 11.5

A concrete storm water pipe is laid on a slope of 1 : 100. The diameter of the pipe is 0.60 m and while conveying the maximum discharge, the depth of flow is not allowed to exceed 0.50 m. Find the capacity of the storm water drain if the Manning n = 0.012. ...

Verified Answer:

Given:

S_0

= 0.01, Area of cross se...

Question: 11.4

(a) A rectangular concrete channel is to convey a discharge of 3 m³/s, maintaining a uniform depth of flow, y. The bottom slope is 1 : 1000 and the Manning n can be assumed as 0.012. Find the cross section of the most efficient channel. ...

Verified Answer:

For the most efficient rectangular cross section, ...

Question: 11.3

A trapezoidal channel has a bottom width of 3.0 m and side slopes of 1 : 1. The bottom is of brick work (n = 0.02) and the sides are lined with concrete (n = 0.012). Flow takes place at a uniform depth equal to 1.2 m. Find the equivalent Manning’s coefficient which can be adopted in the uniform ...

Verified Answer:

For the bed,

P_1

= 3.0 m and [latex...

Question: 11.2

A discharge of 12 m³/s takes place in a rectangular channel having a width of 4 m. The flow depth is 1.5 m at a certain section, the width is reduced to 3.0 m and the elevation of the channel bed is raised by 0.3 m. What will be the water surface elevations of the approaching flow and that in the ...

Verified Answer:

From the given data,

v_{1}={\cf...

Question: 11.1

A 2.0 m wide rectangular channel carries a discharge of 4 m³/s and the depth of flow is 1.50 m. A smooth hump is constructed in the channel to raise the bed level of the channel by 0.2 m. Calculate the elevation of the water surface on the elevated surface. ...

Verified Answer:

Given, q = 4/2 = 2 m²/s Therefore

y...

Question: 10.3

A small aircraft has a wing area of 30 m², a lift coefficient of 0.45 at takeoff settings, and a total mass of 2800 kg. Determine (a) the takeoff speed of this aircraft at sea level at standard atmospheric conditions, (b) the wing loading, and (c) the required power to maintain a constant cruising ...

Verified Answer:

Wing area = 30

\mathrm{m^{2};\;C_{L}=0.45;\...

Question: 10.2

A wind anemometer has two 10 cm diameter cups with centre–centre distance of 30 cm. The pivot is stuck in a vertical plane as a result of some malfunction and the cups stop rotating. For a wind speed of 20 m/s and air density of 1.23 kg/m³, determine the maximum torque this anemometer exerts on the ...

Verified Answer:

Diameter of the cup = 10 cm = 0.10 m Wind speed, u...

Question: 10.1

A super tanker is 360 m long and has a beam width of 70 m and a draft of 25 m. Estimate the force and power required to overcome skin-friction drag at a cruising speed of 13 knots in seawater at 10°C. [1 knot = 1852 m per hour; at 10°C viscosity v = 1.4 × 10^-6 m²/s] ...

Verified Answer:

L=360~{\mathrm{m}},~U={\frac{1852\times13}{...

Question: 9.3

Figure 9.2 shows the data of a wind tunnel test for a new vehicle on a model scale of 1 : 15. The variation in the model coefficient of drag CD with Reynolds number is shown. It is necessary to estimate the aerodynamic drag force and the power required in the prototype when it moves at a steady ...

Verified Answer:

Assume that standard air is used in the wind tunne...

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