Formula 12.11

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.