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 .