Consider the flow in a long, heated pipe in which the properties of an incompressible fluid can be adjusted by adding a soluble additive. The Nusslet numbers in the pipe, whose walls are hydraulically...

Consider the flow in a long, heated pipe in which the properties of an incompressible fluid can be adjusted by adding a soluble additive. The Nusslet numbers in the pipe, whose walls are hydraulically smooth, are to be calculated. For Pr = 1.5, 5, and 10, and for several values of ReD in the 104^–2
× 10⁵
range, calculate and compare the predictions of the analogies of von Karman, Chilton–Colburn, and Yu et al., and compare them with the predictions of the empirical correlation of Gnielinski. Discuss the results