Q$2$: A fluid flows along a smooth, flat surface with uniform heat flux $(q_w^{\text{'}\text{'}}).$ Assume that:

a$)$ The velocity profile and temperature profile are lincar;

b$)$ and the velocity boundary layer $(x)-4\mathrm{.}64x^{-2}R{e}_x^{0\mathrm{.}5}.$

Obtain the expression for the local Nusselt number ${}_s$ and temperature $T_w(x)$ for the constant $q_w^{\text{'}\text{'}}.$

Special Case: In the extreme the ratio of velocity boundary layer to lemperature boundary layer $\frac{}{{}_r}0,$ obtain the ${}_x$ and $T_w(x).$