Question

Consider the laminar flow of a fluid over a flat plate of length L. maintained at a constant temperature. If the free stream velocity of the fluid is halved and the length of the plate is doubled, the rate of heat transfer between the fluid and the plate

Answer 1

$q_1=hA(T_s-T_m)$

$=\frac{k}{L}\left(0.664R{e}^{0.5}P{r}^{1/3}\right)bL(T_s-T_{\infty })$

$\left(V_{\infty }L{)}^{0.5}\frac{0.664\times k(Pr{)}^{1/3}}{v^{0.5}}b\right(T_s-T_{\infty })$

$q_1=C(V_{\infty }L{)}^{0.5}[C=\frac{0.664\times k(Pr{)}^{1/3}}{v^{(}0.5)}b(T_s-T_{\infty }\left)\right]$

$q_2=C{\left[\frac{1}{2}{V}_{\infty }2L\right]}^{0.5}=q_1$