Formula 8.20
Heat transfer rate in laminar forced convection along heated flat plate
Input(s)
W: Width (ft)
L: Length $(\mathrm{ft})$
$\mathrm{T}_{\mathrm{o}}$: Final Temperature $(\mathrm{K})$
$\mathrm{T}_{\infty}$: Temperature at $\mathrm{X}$ from Center of Temperature Profile (K)
$\mathrm{k}$: Thermal Conductivity (BTU/ft h K)
Pr: Prandtl (dimensionless)
Re: Reynolds (dimensionless)
Output(s)
Q: Heat Loss Rate $(\mathrm{BTU} / \mathrm{h})$
Formula(s)
$$ \mathrm{Q}=\left(\left(\frac{148}{315}\right)^{0.5}\right) * 2 * \mathrm{~W} * \mathrm{~L} *\left(\mathrm{To}-\mathrm{T}_{\infty}\right) *\left(\frac{\mathrm{k}}{\mathrm{L}}\right) *(\operatorname{Pr} 0.334) *\left(\mathrm{Re}^{0.5}\right) $$
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 12, Page: 390.