Pressure loss due to sudden enlargement
Input(s)
\(\rho\): Density of Fluid \((\mathrm{g} / \mathrm{cc})\)
\(v_{1}\): Input Velocity \((\mathrm{m} / \mathrm{s})\)
\(v_{2}\): Output Velocity \((\mathrm{m} / \mathrm{s})\)
Output(s)
\(\beta\): Velocity Ratio (dimensionless)
\(\boldsymbol{p}_{\mathbf{2}}-\boldsymbol{p}_{\mathbf{1}}\): Pressure Drop \((\mathrm{Pa})\)
Formula(s)
\[
\begin{gathered}
\beta=\frac{\mathrm{v}_{\mathrm{o}}}{\mathrm{v}_{\mathrm{i}}} \\
\mathrm{p}_{2}-\mathrm{p}_{1}=\rho *\left(\mathrm{v}_{2}^{2}\right) *\left(\left(\frac{1}{\beta}\right)-1\right)
\end{gathered}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 7, Page: 210.