If the velocity of the fluid does NOT change with respect to time, the flow is said to be a/an:
- Aunsteady flow
- Bsteady flowCorrect
- Cuniform flow
- Dnon-uniform flow
Solution
Concept
In steady flow, fluid properties like velocity at a point do not change with time.
Formula
∂V/∂t = 0 (steady flow)
Step-by-step solution
1. A change of velocity with respect to time decides steady or unsteady flow. 2. A change of velocity with respect to space (distance) decides uniform or non-uniform flow. 3. Here velocity does not change with time, so ∂V/∂t = 0. 4. So the flow is steady. Answer is B.
Explanation
When velocity at a point does not change with time, the flow is called steady flow. Uniform and non-uniform flow are about change of velocity with distance, not time.
Why the other options are wrong
A: Unsteady flow means velocity changes with time. C: Uniform flow means velocity does not change with distance (space), not time. D: Non-uniform flow means velocity changes with distance.
Shortcut
Time = steady/unsteady; Space = uniform/non-uniform.
Common mistake
Confusing steady flow (no change with time) with uniform flow (no change with space).
Correct answer: B) steady flow