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#equation of continuity

3 public questions tagged with this topic.

What is the key assumption behind the equation of continuity for fluid flow?

The equation of continuity (Av = constant) assumes the fluid is incompressible, meaning its density remains constant, ensuring mass conservation in steady flow through varying cross-sections. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Fluid is incompressible. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

Which of the following statements is correct about the equation of continuity?

The equation of continuity (Av = constant) assumes an incompressible fluid, ensuring mass flow rate conservation, not requiring viscosity or turbulence considerations. As per NCERT, applying relevant law/formula with correct units and sign convention leads to It assumes incompressibility. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.