Find the heat transfer rate \(\mathrm{q}_{\mathrm{w}}\) at \(\mathrm{x}=10 \mathrm{~cm}\) and \(100 \mathrm{~cm}\) for the flat plate given in Problem 7.31.

Problem 7.31

A flat plate of \(4 \mathrm{~m}\) long has the wall temperature of \(1200 \mathrm{~K}\) at zero angle of attack at free stream Mach number of 25 and \(85 \mathrm{~km}\) altitude. Using the data given obtain the pressure variation along the plate.