Physics · Fluid Mechanics
The three-dimensional continuity equation in the Cartesian coordinate system for an incompressible fluid is represented by which of the following equations?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∂(ρu)/ ∂x + ∂(ρv)/ ∂x + ∂(ρw)/ ∂x = 0
- 2∂u/ ∂x + ∂v/ ∂x + ∂w/ ∂x = 0
- 3∂u/ ∂x + ∂v/ ∂y + ∂w/ ∂z = 0✓
- 4∂(ρu)/ ∂x + ∂(ρv)/ ∂y + ∂(ρw)/ ∂z = 0
Correct answer
∂u/ ∂x + ∂v/ ∂y + ∂w/ ∂z = 0
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