A 0.2-m-wide plate, 0.8 m long, is placed on the bottom of a shallow tank. The plate is heated, and maintained at a constant surface temperature of 60°C. Liquid water 12 cm deep flows over the flat plate with bulk volumetric flow rate of 2.4 × 10^-3m³/s. The bulk liquid water temperature may be assumed to remain constant at 20°C as it flows along the length of the plate. 

Thermophysical properties of water are given in the table below.

a. What are the values of Re_L and Pr for this convective heat transfer process? Is the flow laminar or turbulent at the end of the plate?
b. What is the local heat flux at a distance 0.5 m from the leading edge of the plate?
c. What is the total heat-transfer rate from the plate surface?
d. What are the thicknesses of the hydrodynamic and thermal boundary layers at the end of the plate?

Transcribed Image Text:

Tempe- Density, Viscosity, p(kg/m³) µ (kg/ m-sec) Heat Thermal Conductivity, k (W/m· K) Capacity, C, (J/kg · K) rature (°C) 0.597 0.663 993 x 10-6 20 998.2 4282 992.2 658 × 10-6 40 4175 0.658 472 × 10–6 4181 60 983.2