Under what conditions does steady flow take place___________________?
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Answer: B. the velocity of successive fluid particles, at any point, is the same at successive periods of time
Explanation
Steady flow occurs when the fluid velocity and properties at any given point do not change with respect to time. In a steady fluid flow field, local derivatives of velocity and pressure with respect to time equal zero. Although flow properties can vary from one spatial point to another, conditions at any fixed location remain constant. Fluid mechanics classifies flows into various categories including steady, unsteady, uniform, and non-uniform regimes. Mathematical analysis simplifies significantly when assuming steady flow conditions in engineering control volumes. The Reynolds transport theorem relies on steady-state assumptions to analyze momentum and energy balances.
Pipeline transport systems operating under constant pump speeds and valve settings exhibit steady flow behavior. Engineers design steady-flow hydraulic machinery to ensure stable performance and prevent destructive pressure surges. Transient start-up and shut-down phases represent unsteady flow, whereas normal operation achieves steady state. Identical velocity magnitude and direction at all points defines uniform flow rather than steady flow conditions. Stating that velocity does not change from point to point describes spatial uniformity rather than temporal constancy. Parallel streamline patterns define flow geometry rather than temporal stability characteristics.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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