The tube in Example 12.3 is maintained at 350 K and air is passed through it at 3.5 m/s, the initial temperature of the air being 290 K. What is the outlet temperature of the air for the four cases used in Example 12.3?
Taking the physical properties of air at 310 K and assuming that fully developed flow exists in the pipe, then:
R e=0.0250\times3.5\times{\frac{(29/22.4)(273/310)}{0.018\times10^{-3}}} = 5535
P r={\frac{1.003\times1000\times0.018\times10^{-3}}{0.024}} = 0.75
The heat transfer coefficients and final temperatures are then calculated as in Example 12.3 to give:
In this case the result obtained using the Reynolds analogy agrees much more closely with the other three methods.
Method | h(W/m² K) | θ(K) |
(a) | 15.5 | 348.1 |
(b) | 18.3 | 349.0 |
(c) | 17.9 | 348.9 |
(d) | 21.2 | 349.4 |