Water flows at a velocity uoo = 1 m/s over a flat plate of length L = 0.6 m. Consider two cases, one for which the water temperature is approximately 300 K and the other for an approximate water temperature of 350 K. In the laminar and turbulent regions, experimental measurements show that the local convection coefficients are well described by
hlam(x) = Clam x-0.5 hturb(x) = Cturb x-0.2
where x has units of m. At 300 K,
Clam,300 = 395 W/m1.5 · K Cturb,300 = 2330 W/m1.8 · K
while at 350 K,
Clam,350 = 477 W/m1.5 · K Cturb,350 = 3600 W/m1.8 · K
As is evident, the constant C depends on the nature of the flow as well as the water temper- ature because of the thermal dependence of various properties of the fluid.
Determine the average convection coefficient, h, over the entire plate for the two water temperatures.