Consider two cases involving parallel flow of dry air at \(V=1 \mathrm{~m} / \mathrm{s}, T_{\infty}=45^{\circ} \mathrm{C}\), and atmospheric pressure over an isothermal plate at \(T_{s}=20^{\circ} \mathrm{C}\). In the first case, \(R \mathrm{e}_{x, c}=5 \times 10^{5}\), while in the second case the flow is tripped to a turbulent state at \(x=0 \mathrm{~m}\). At what \(x\)-location are the thermal boundary layer thicknesses of the two cases equal? What are the local heat fluxes at this location for the two cases?