(Solved): As a means of preventing ice formation on the wings of a small, private aircraft, it is proposed th ...

As a means of preventing ice formation on the wings of a small, private aircraft, it is proposed that electric resistance heating elements be installed within the wings. To determine representative power requirements, consider nominal flight conditions for which the plane moves at $$100\mathrm{m}/\mathrm{s}$$ in air that is at a temperature of $$?23^{?}\mathrm{C}$$. If the characteristic length of the airfoil is $$L=2\mathrm{m}$$ and wind tunnel measurements indicate an average friction coefficient of $${\stackrel{?}{C}}_f=0.0025$$ for the nominal conditions, what is the average heat flux needed to maintain a surface temperature of $$T_s=5^{?}\mathrm{C}$$ ? Step 1 What is the value of the kinematic viscosity of air at $$?23^{?}\mathrm{C},1\mathrm{atm}$$, in $${\mathrm{m}}^2/\mathrm{s}$$ ? What is the value of the Reynolds number based on the characteristic length? $$R{e}_L=$$ Step 3 Use the modified Reynolds analogy to determine the value of the average Nusselt number. $${\overline{Nu}}_L=$$ What is the value of the average heat transfer coefficient, in $$\mathrm{W}/{\mathrm{m}}^2?\mathrm{K}$$ ? $$\stackrel{?}{h}=$$ $$W/m^2?\mathrm{K}$$ Step 5 What is the value of the average heat flux needed to keep the wing at the surface temperature, in $$W/{\mathrm{m}}^2$$ ?