# Flow rate is calculated using only the parallel velocity

by davidbenari
Tags: calculated, flow, parallel, rate, velocity
 P: 3 Consider the definition of the volumetric flow rate $\dot{V}$=$\frac{dV}{dt}$ say $V=\vec{A} \cdot \vec{x}$ substitution yields $\dot{V}=\vec{A}\cdot\frac{d\vec{x}}{dt}=\vec{A}\cdot\vec{v}$ where $\vec{v}=\frac{d\vec{x}}{dt}$ and $A$ materially conserved