Heating of a liquid in an agitated tank

Input(s)

T1\mathrm{T}_{1}: Initial Temperature (K)(\mathrm{K})

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

U0\mathrm{U}_{0}: Heat Coefficient (W/ftK)(\mathrm{W} / \mathrm{ft} \mathrm{K})

A0\mathrm{A}_{0}: Area (ft2)\left(\mathrm{ft}^{2}\right)

w1\mathrm{w}_{1}: Weight (lbm)

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

Output(s)

T0\mathrm{T}_{0}: Final Temperature (K)(\mathrm{K})

Formula(s)

T0T1 TsT1=1(1(exp(U0 A0w1Cp))U0 A0w1Cp)\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 .


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