Physics · Fluid Mechanics
The differential equation of continuity for a three-dimensional, compressible fluid flow in a Cartesian coordinate system is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∂u∂x + ∂v∂y + ∂w∂z = 0
- 2∂(ρu)∂x + ∂(ρv)∂y + ∂(ρw)∂z = 0
- 3∂ρ∂t + ∂(ρu)∂x + ∂(ρv)∂y + ∂(ρw)∂z = 0✓
- 4∂ρ∂t + ∂u∂x + ∂v∂y + ∂w∂z = 0
Correct answer
∂ρ∂t + ∂(ρu)∂x + ∂(ρv)∂y + ∂(ρw)∂z = 0
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