A critical evaluation of analytical solutions and reynolds analogy equations for turbulent heat and mass transfer in smooth tubes

A critical evaluation of recently proposed analytical solutions and Reynolds analogy based correlations for heat transfer with constant properties to turbulent flow of liquids and gases in smooth tubes is presented. A new Reynolds analogy correlation is developed which agrees with the solutions of DeissleR, and Sparrow et al., within ±2 percent. The ability of this equation to correlate constant properties heat transfer data is compared with the equations proposed by FRiend and MetzneR, and Petukhov and Popov. Both the new equation and the Petukhov and Popov equation provide a very good correlation of existing data for.7 <Pr < 50. However, the Petukhov and Popov equation yielded a better correlation of the high Schmidt number mass transfer data of six investigators. Although there is considerable disagreement among these mass transfer data, the Petukhov and Popov equation agrees with the smoothed results of four investigators within ±15 percent. Therefore, this equation is tentatively recommended for use at high Prandtl or Schmidt numbers. The recommended equation is compared to the popular Colburn and Dittus-Boelter empirical equations and is shown to be superior to both equations.