A new theoretical formula for turbulent heat and mass transfer with gases or liquids in tube flow

Abstract

A new theoretically‐based formula is presented for fully developed steady‐state forced convection heat or mass transfer in turbulent tube flow. This relationship, which is proposed for the frill range range of Prandtl or Schmidt numbers between 0.7 (gases) and 100 000 (liquids), is as follows: Coniparisons a with widely quotcd sets of data show very good agreement IFriend and metzner (heat transfer in liquids), Dcisser and Eian (heat transfer in air), Allen aid Eckert (heat transfer in water), Malina and Sparrow (heat trniisfcr in liquids), Harrott and Hamilton (mass transfcr in liquids)]. Absolute mean deviations vary from 3.6 to 8.1% over the range 0.73 + Pr or Sr ≤ 97 600.

Mixing Characterization of Transient Puffs in a Rotary Kiln Incinerator

“…Average heat and mass transfer in fully developed turbulent pipe flow (and channel flow) have been researched extensively, both experimentally and theoretically, e.g. Sherwood and Woertz (1939), Quarmby and Anand (1969), Hughmark (1971), Sheriff and O'Kane (1971), Sandall et al (1980). The general approach in all these studies is to use a turbulent diffusivity, or an effective heat or mass transfer coefficient, to calculate the average scalar profile.…”

“…Even though more accurate models are available (Quarmby and Anand, 1969;Sandall et a/., 1980), this model was chosen because of its simplicity, facilitating derivation of the eddy frequency in the linear eddy model.…”

Experiments on turbulent non‐newtonian mass transfer in a circular tube

“…In a series of papers (Hanna and Sandall, 1972, 1978Sandall et al, 1976Sandall et al, , 1980Sandall et al, , 1982Sandall et al, , 1984Sandall and Hanna, 1979;Hanna et a., 1981), two of the present authors have developed prediction formulas for turbulent mass or heat transfer based on an extended asymptotic expansion of the rigorous Lyon transport equation for the case of large Schmidt or Prandtl number. In the case of turbulent nowNewtonian heat transfer, this approach was used to develop the prediction formula of Sandall et al (1976), which is:…”

“…In Sandall et al (1980) it was shown that a single equation based on the asymptotic method provides an excellent prediction of Newtonian mass or heat transfer. This formula is: Figure 1 shows a comparison of Eq.…”

“…Mass transfer coefficients for the tube side are obtained from the measured overall mass transfer coefficient by using a modified Wilson plot. The experimental results are correlated by means of an adaptation of the very general turbulent transport prediction equation of Sandall et al (1980).…”