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_3 m3/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.
Temperature (°C) | Density, ρ.kg/m3 | Viscosity, μ(kg/m-sec) | Heat Capacity, Cp (J/kg · K) | Thermal Conductivity, k (W/m•K) |
20 | 998.2 | 993 × 10–6 | 4282 | 0.597 |
40 | 992.2 | 658 × 10–6 | 4175 | 0.663 |
60 | 983.2 | 472 × 10–6 | 4181 | 0.658 |
a. What are the values of ReL and Pr for this convective heattransfer 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?
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