Question

Which of the following statements are true? 

A. The same Bernoulli's equation is applicable to all the points in the flow field if the flow is irrotational. 
B. The value of "Constant in the Bernoulli's equation" is different for different streamlines if the flow is rotational. 
C. When a nozzle is fitted at the end of a long pipeline, the discharge increases. 
D. The velocity of flow at the nozzle end is more than that in the case of a pipe without a nozzle, the head in both cases being the same. 
Choose the most appropriate answer from the options given below:

• A. A, B and D only
• B. A, B and C only
• C. A, B, C and D
• D. B, C and D only

Hint:

Bernoulli's equation: valid for steady, incompressible, non-viscous flows. For irrotational flow, the constant is same for all streamlines.

Answer 1

The Correct Option is C

Step 1: Evaluate each statement.
- (A) True: Bernoulli's equation is applicable throughout the flow field for irrotational flow.
- (B) True: In rotational flow, the constant value of Bernoulli's equation varies between different streamlines.
- (C) True: A nozzle's decreasing area causes an increase in velocity, resulting in higher discharge.
- (D) True: For the same head, a nozzle increases velocity compared to a pipe without one.

Step 2: Final determination.
All four statements are validated. Therefore, Option (3) is correct.