Pressure loss due to sudden enlargement

Input(s)

ρ\rho: Density of Fluid (g/cc)(\mathrm{g} / \mathrm{cc})

v1v_{1}: Input Velocity (m/s)(\mathrm{m} / \mathrm{s})

v2v_{2}: Output Velocity (m/s)(\mathrm{m} / \mathrm{s})

Output(s)

β\beta: Velocity Ratio (dimensionless)

p2p1\boldsymbol{p}_{\mathbf{2}}-\boldsymbol{p}_{\mathbf{1}}: Pressure Drop (Pa)(\mathrm{Pa})

Formula(s)

β=vovip2p1=ρ(v22)((1β)1)\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.


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