Cooling of an ideal gas

Input(s)

\(\mathrm{H}_{1}\): Initial Enthalpy Per Unit Mass \(\left(\mathrm{ft}^{2} / \mathrm{s}^{2}\right)\)

\(\mathrm{H}_{2}\): Final Enthalpy Per Unit Mass \(\left(\mathrm{ft}^{2} / \mathrm{s}^{2}\right)\)

\(\mathrm{v}_{1}\): Initial Velocity \((\mathrm{ft} / \mathrm{s})\)

\(\mathrm{v}_{2}\): Final Velocity \((\mathrm{ft} / \mathrm{s})\)

g: Acceleration Due to Gravity \(\left(\mathrm{ft} / \mathrm{s}^{2}\right)\)

\(\mathrm{h}_{1}\): Initial Height (ft)

\(\mathrm{h}_{2}\): Final Height \((\mathrm{ft})\)

Output(s)

Q: Energy Rate (Btu/s)

Formula(s)

\[ \mathrm{Q}=\left(\mathrm{H}_{2}-\mathrm{H}_{1}\right)+0.5 *\left(\left(\mathrm{v}_{2}^{2}\right)-\left(\mathrm{v}_{1}^{2}\right)\right)+\mathrm{g} *\left(\mathrm{~h}_{2}-\mathrm{h}_{1}\right) \]

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 18, Page: 576.

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