The flow in which the particles of a fluid attain such velocities that varies from point to point in magnitude and direction as well as from instant to instant, is known as

Bernoulli's equation for fluid flow is derived following certain assumptions. Out of the assumptions listed below, which set of assumptions is used in derivation of Bernoulli's equation?
1. Fluid flow is frictionless & irrotational
2. Fluid flow is steady
3. Fluid flow is uniform & turbulent
4. Fluid is compressible
5. Fluid is incompressible

A

1, 3, 4

B

2, 4, 5

C

1, 2, 5

D

1, 4, 5

Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. How far and in which direction is Point G from Point A?

A

4m to the east

B

8m to the west

C

4m to the west

D

8m to the east

In which type of fluid flow, the velocity of flow of fluid changes from point to point in the fluid at any instant?

A

Rotational

B

Unsteady

C

Turbulent

D

Non-uniform

Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. If point G is 4m to the north of Point H, then what is the distance between H and D?

A

11m

B

8m

C

6m

D

4m

For turbulent flow (NRe > 2100) of low viscosity fluid (μ > 20cp) in steel pipes, the optimum inside pipe diameter is given by (where, Q = fluid flow rate, ft³/sec.ρ = fluid density, lb/ft³.μ = fluid viscosity, centipoise D_i = optimum inside pipe diameter, inches)

A

D_{i, opt} = 3.9 Q^0.45.ρ^0.13

B

D_{i, opt} = 3.9 Q^0.45.μ^0.95

C

D_{i, opt} = 4.7 Q^0.36.μ^3.2ρ^0.13

D

D_{i, opt} = 3 Q^0.36.μ^0.88

The flow in which the velocity vector is identical in magnitude and direction at every point, for any given instant, is known as

A

One dimensional flow

B

Uniform flow

C

Steady flow

D

Turbulent flow

If u₁ and u₂ are the velocities of two moving bodies in the same direction before impact and v₁ and v₂ are their velocities after impact, then coefficient of restitution is given by

A

$$\frac{{{{\text{v}}_1} - {{\text{v}}_2}}}{{{{\text{u}}_1} - {{\text{u}}_2}}}$$

B

$$\frac{{{{\text{v}}_2} - {{\text{v}}_1}}}{{{{\text{u}}_1} - {{\text{u}}_2}}}$$

C

$$\frac{{{{\text{u}}_1} - {{\text{u}}_2}}}{{{{\text{v}}_1} - {{\text{v}}_2}}}$$

D

$$\frac{{{{\text{u}}_2} + {{\text{u}}_1}}}{{{{\text{v}}_2} + {{\text{v}}_1}}}$$

‘u₁’ and ‘u₂’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v₁’ and ‘v₂’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by

A

$${\text{e}} = \frac{{{{\text{v}}_1} - {{\text{v}}_2}}}{{{{\text{u}}_2} - {{\text{u}}_1}}}$$

B

$${\text{e}} = \frac{{{{\text{u}}_2} - {{\text{u}}_1}}}{{{{\text{v}}_1} - {{\text{v}}_2}}}$$

C

$${\text{e}} = \frac{{{{\text{v}}_2} - {{\text{v}}_1}}}{{{{\text{u}}_1} - {{\text{u}}_2}}}$$

D

$${\text{e}} = \frac{{{{\text{v}}_1} - {{\text{v}}_2}}}{{{{\text{u}}_2} + {{\text{u}}_1}}}$$

The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is $$\frac{1}{2}$$, the velocities of separation of the balls will be equal to

A

Original velocity in the same direction

B

Half the original velocity in the same direction

C

Half the original velocity in the opposite direction

D

Original velocity in the opposite direction

A designer chooses the values of fluid flow rates and specific heats in such a manner that the heat capacities of the two fluids are equal. A hot fluid enters the counter flow heat exchanger at 100°C and leaves at 60°C. A cold fluid enters the heat exchanger at 40°C. The mean temperature difference between the two fluids is

A

20°C

B

40°C

C

60°C

D

66.7°C

The flow in which the particles of a fluid attain such velocities that varies from point to point in magnitude and direction as well as from instant to instant, is known as

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