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.