A flat plate is cooled by a refrigerant flowing parallel to a plate which is 0.1 m long and 2 m wide. The fluid velocity is 0.1 m/s, its free stream temperature is 20°C, and the plate temperature is maintained at 180°C.
The properties of the refrigerant at 100°C are as follows: v = 2.03 × 10^-6 m/s, k = 0.263 W/m°C, Pr = 22.4.
Determine what should be the width of the plate if water is used, instead of the refrigerant, at the same free stream velocity and temperature to cool the plate at the same rate.