A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.(a) The speed is high at the wider end and high at the narrow end.(b) The speed is low at the wider end and high at the narrow end.(c) The speed is same at both ends in a stream line flow.(d) The liquid flows with uniform velocity in the tube.
Answers
(b) The speed is low at the wider end and high at the narrow end.
Answer:
(b) The speed is low at the wider end and high at the narrow end
Explanation:
When any fluid is in motion, it should move in such a way that the mass is conserved. Identifying the mass conservation places a restriction on the velocity field, thus the continuity equation describes that the rate at which the mass enters the system is equal to the rate at which the mass leaves the system including the the accumulation of mass within the system.
One of the fundamentals used in the analysis of continuity of flow is Q=VA, which states that when the flow is constant, as velocity increases, the flow area decreases and thus vice versa.
For an incompressible liquid equation of continuity,
AV = constant or A ∝ (1/V)
Thus, at the wider end speed will be low and at the narrow end speed will be high.