Sunlit wetted-panel temperature

Find the steady surface temperature and evaporation mass flux. The heat coefficient is $h=18\,\mathrm{W/(m^2\,K)}$, mass coefficient $k_m=0.0090\,\mathrm{m/s}$ and latent heat $h_{fg}=2.43\times10^6\,\mathrm{J/kg}$. Use the supplied saturation-density fit $\rho_{v,s}=0.0173+0.0011(T_s-20)$ in $\mathrm{kg/m^3}$ with $T_s$ in $^\circ\mathrm{C}$, valid from $20$ to $35\,{}^\circ\mathrm{C}$. Neglect thermal radiation, edge loss and sensible enthalpy of the liquid supply.