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**Question 1. The velocity field in a flow system is given by v = 2i+ (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1,2) is [2019 : 1 Mark, Set-II](a) 4i + 12k(b) 2i + 10k(c) j + k(d) 4j + 10kAnswer: **(d)

Solution:

Solution:

The correct statement is: [2015 : 2 Marks, Set-II]

(a) Fluid is incompressible and flow is irrotational

(b) Fluid is incompressible and flow is rotational

(c) Fluid is compressible and flow is irrotational

(d) Fluid is compressible and flow is rotational

Answer:

Solution:

Hence, incompressible flow.

Hence, flow is irrotational.

Question 4. A nozzle is so shaped that the average flow velocity changes linearly from 1.5 m/s at the beginning to 15 m/s at its end in a distance of 0.375 m. The magnitude of the convective acceleration (in m/s

Solution:

(a)

(b)

(c) v

(d) v

Answer:

Solution:

On integrating both sides,

v

Solution:

⇒

⇒

⇒

⇒

⇒Magnitude of acceleration at t =0

(a) T

(b)

(c)

(d) T

Answer:

Solution:

Solution:

(a) 6 units

(b) 3 units

(c) 1.5 units

(d) 2 units

Solution:

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