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 (J/msK)(\mathrm{J} / \mathrm{m} \mathrm{s} \mathrm{K})

H\mathrm{H}: Height (ft)(\mathrm{ft})

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

Ti\mathbf{T}_{i}: Inner Temperature (K)

Output(s)

Q: Average Heat Transfer Flux (J/m2 s)\left(\mathrm{J} / \mathrm{m}^{2} \mathrm{~s}\right)

Formula(s)

Q=Ck( ToTi)((GrPr)0.25)H\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 .


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