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Which mathematical form represents the Continuity Equation for fluid flow in a steady pipe?
- A ∇⋅(ρv) = 0
- B ρ1A1v1 = ρ2A2v2
- C ρAv = constant
- D ρgh = constant
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The Continuity Equation for fluid flow in a steady pipe is expressed as ρ1A1v1 = ρ2A2v2, where ρ represents density, A is the cross-sectional area, and v denotes the velocity of the fluid. This equation illustrates the relationship between the flow velocities and cross-sectional areas at two different points along the pipe, ensuring mass conservation in the flow.
