Chapter 1, Problem 1.18P

The heat transfer coefficient for a gas flowing over a thin float plate 3-m long and 0.3-m wide varies with distance from the leading edge according to

$h_c\left(x\right)=10x^{-1/4}\frac{\text{W}}{{\text{m}}^{\text{2}}\text{K}}$

If the plate temperature is 170°C and the gas temperature is 30°C, calculate (a) the average heat transfer coefficient, (b) the rate of heat transfer between the plate and the gas, and (c) the local heat flux 2 m from the leading edge.

Problem 1.18