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• 15:00, 16 March 2026 Nian talk contribs created page Area-velocity relation (Created page with "Category:Compressible flow Category:Quasi-one-dimensional flow Category:Inviscid flow __TOC__ \section{The Area-Velocity Relation} \noindent Starting point - the continuity equation (Eqn. \ref{eq:governing:cont}):\\ \[d(\rho uA)=0 \Rightarrow \rho u dA+\rho Adu +uAd\rho=0\]\\ \noindent divide by $\rho uA$ gives\\ \begin{equation} \frac{d\rho}{\rho}+\frac{du}{u}+\frac{dA}{A}=0 \label{eq:governing:cont:b} \end{equation}\\ \noindent As the name suggests,...")