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An analytical study of heat and mass transfer in multiparticle systems at low Reynolds numbers
Author(s) -
Pfeffer Robert,
Happel John
Publication year - 1964
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690100507
Subject(s) - nusselt number , péclet number , reynolds number , prandtl number , sherwood number , schmidt number , mass transfer , thermodynamics , mechanics , turbulent prandtl number , heat transfer , physics , turbulence
This investigation was undertaken to obtain an analytical solution to the problem of predicting particle‐to‐fluid heat and mass transfer rates in multiparticle systems at low Reynolds numbers. The energy equation based on the free surface model was solved by expanding the fluid temperature distribution in even powers of the spherical angle and by assuming that the fluid properties remain relatively constant with temperature. Solutions were obtained for Peclet numbers between 0.1 and 100 and fractional void volumes between 0.4 and 1.0. They show that the average Nusselt or Sherwood number in a bed of particles is a function of both the fractional void volume and the Peclet number, the effect of Peclet number decreasing as the bed becomes more concentrated in the low Peclet number range. A plot of the results in terms of the j factor vs. the Reynolds number shows good agreement with published experimental mass and heat transfer data and indicates that the j factor is not independent of the Schmidt or Prandtl numbers at low Reynolds number, low Peclet number flow.