Computer · Fluid Mechanics
Consider the one-dimensional steady continuity equation for an incompressible fluid where inflow and outflow are one-dimensional. Which statement correctly evaluates the relationship between mass conservation and uniform properties over the cross-section?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The flow is one-dimensional, but velocity and density vary extensively across the area.
- 2The flow is one-dimensional because velocity and density are assumed uniform and constant over the cross-sectional area to satisfy one-dimensional continuity.✓
- 3The flow is one-dimensional and velocity/density are constant, but uniform properties do not explain mass conservation.
- 4Both statements regarding one-dimensional flow and constant velocity/density are false.
Correct answer
The flow is one-dimensional because velocity and density are assumed uniform and constant over the cross-sectional area to satisfy one-dimensional continuity.
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