Liquid coolant at 6.2 C is passed over the surface of a 1 m-long heated plate which is at a uniform temperature of 50 C. The stream of coolant is travelling at 5.02 m s^-1, and you are given values of Prandtl number Pr = 1.44, thermal conductivity k = 0.343 W m^-1 K^-1, and kinematic viscosity = 4.21x10^-7 m² s^-1. You may assume that the transition to turbulence occurs at a Reynolds number Re = 5x10⁵.

Calculate the heat transfer rate in kW m^-1 over the plate (per unit width)