Heating of a liquid in an agitated tank

Input(s)

$\mathrm{T}_{1}$: Initial Temperature $(\mathrm{K})$

$\mathrm{T}_{\mathrm{s}}$: Steam Temperature $(\mathrm{K})$

$\mathrm{U}_{0}$: Heat Coefficient $(\mathrm{W} / \mathrm{ft} \mathrm{K})$

$\mathrm{A}_{0}$: Area $\left(\mathrm{ft}^{2}\right)$

$\mathrm{w}_{1}$: Weight (lbm)

Cp: Specific Heat of Mass (lbf/lbs K)

Output(s)

$\mathrm{T}_{0}$: Final Temperature $(\mathrm{K})$

Formula(s)

$$ \frac{\mathrm{T}_{0}-\mathrm{T}_{1}}{\mathrm{~T}_{\mathrm{s}}-\mathrm{T}_{1}}=1-\left(\frac{1-\left(\exp \left(\frac{-\mathrm{U}_{0} * \mathrm{~A}_{0}}{\mathrm{w}_{1} * \mathrm{Cp}}\right)\right)}{\frac{\mathrm{U}_{0} * \mathrm{~A}_{0}}{\mathrm{w}_{1} * \mathrm{Cp}}}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 15, Page: 468 .