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 .