Free convection heat transfer from a vertical plate
Input(s)
C: Constant of Convection (dimensionless)
Gr: Grashof Number (dimensionless)
Pr: Prandtl (dimensionless)
k: Thermal Conductivity \((\mathrm{J} / \mathrm{m} \mathrm{s} \mathrm{K})\)
\(\mathrm{H}\): Height \((\mathrm{ft})\)
\(\mathbf{T}_{\mathbf{0}}\): Outer Temperature \((\mathrm{K})\)
\(\mathbf{T}_{i}\): Inner Temperature (K)
Output(s)
Q: Average Heat Transfer Flux \(\left(\mathrm{J} / \mathrm{m}^{2} \mathrm{~s}\right)\)
Formula(s)
\[
\mathrm{Q}=\frac{\mathrm{C} * \mathrm{k} *\left(\mathrm{~T}_{\mathrm{o}}-\mathrm{T}_{\mathrm{i}}\right) *\left((\mathrm{Gr} * \operatorname{Pr})^{0.25}\right)}{\mathrm{H}}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 11, Page: 348 .