Based on the convection heat transfer correlation given in the Lecture:

$($a$).$ Derive an equation for the nucleate boiling heat flux, $q_s^{\text{'}\text{'}},$ for saturated water at atmospheric pressure on a large, horizontal polished copper plate, over the excess temperature range $5C{T}_{e}30C.$

$($b$).$ Sketch your results on a $q_s^{\text{'}\text{'}}$ vs $T_e$ plot.

$($c$).$ Also find the excess temperature corresponding to the critical heat flux.