Physics

Physics

Problem

According to the equation Av=QA v = Q for steady incompressible flow, what does the symbol QQ denote? a) Velocity head of the flowing fluid\text{Velocity head of the flowing fluid} b) Volume flow rate (discharge)\text{Volume flow rate (discharge)} c) Pressure difference between two points in the stream\text{Pressure difference between two points in the stream} d) Mass flow rate of the fluid\text{Mass flow rate of the fluid}
Intuitive explanation

The equation Av=QAv = Q is the continuity equation for fluid flow, and QQ represents the volume flow rate—how much volume of fluid passes through a cross-section per unit time. The key insight is that in steady, incompressible flow, this rate must be constant everywhere in the system: if the pipe narrows, the fluid speeds up to maintain the same QQ, and vice versa. Understanding QQ as a conserved quantity helps you predict how velocity changes when area changes.

Intuitive explanation

The equation Av=QAv = Q is the continuity equation for fluid flow, and QQ represents the volume flow rate—how much volume of fluid passes through a cross-section per unit time. The key insight is that in steady, incompressible flow, this rate must be constant everywhere in the system: if the pipe narrows, the fluid speeds up to maintain the same QQ, and vice versa. Understanding QQ as a conserved quantity helps you predict how velocity changes when area changes.

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