0
TECHNICAL PAPERS: Natural and Mixed Convection

Prediction of Nusselt Number and Flow Rate of Buoyancy Driven Flow Between Vertical Parallel Plates

[+] Author and Article Information
Carl-Olof Olsson

ABB, Corporate Research, SE-721 78 Västerås, Sweden

J. Heat Transfer 126(1), 97-104 (Mar 10, 2004) (8 pages) doi:10.1115/1.1643908 History: Received February 11, 2002; Revised October 30, 2003; Online March 10, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Elenbaas, W., 1942, “Heat Dissipation of Parallel Plates by Free Convection,” Physica, IX/1 , pp. 2–28.
Elenbaas, W., 1942, “The Dissipation of Heat by Free Convection: The Inner Surface of Vertical Tubes of Different Shapes of Cross-Section,” Physica, IX/8 , pp. 865–874.
Bodoia,  J. R., and Osterle,  J. F., 1962, “The Development of Free Convection Between Heated Vertical Plates,” ASME J. Heat Transfer, 84, pp. 40–44.
Novotny, J. L., 1968, “Laminar Free Convection Between Finite Vertical Parallel Plates,” in Progress in Heat and Mass Transfer, T. F. Irvine Jr. ed., 2 , Pergamon Press, New York, pp. 13–22.
Miyatake,  O., and Fujii,  T., 1972, “Free Convection Heat Transfer Between Vertical Parallel Plates—One Plate Isothermally Heated and the Other Thermally Insulated,” Heat Transfer-Jpn. Res., 1, pp. 30–38.
Aung,  W., 1972, “Fully Developed Laminar Free Convection Between Vertical Plates Heated Asymmetrically,” Int. J. Heat Mass Transfer, 15, pp. 1577–1580.
Aung,  W., Fletcher,  L. S., and Sernas,  V., 1972, “Developing Laminar Free Convection Between Vertical Flat Plates with Asymmetric Heating,” Int. J. Heat Mass Transfer, 15, pp. 2293–2308.
Aihara, T., 1973, “Effects of Inlet Boundary Conditions on Numerical Solutions of Free Convection Between Vertical Parallel Plates,” Report of the Institute of High Speed Mechanics, Tohuku University, Japan, 28 , pp. 1–27.
Burch,  T., Rhodes,  T., and Acharya,  S., 1985, “Laminar Natural Convection Between Finitely Conducting Vertical Plates,” Int. J. Heat Mass Transfer, 28, pp. 1173–1186.
Kim,  S. H., Anand,  N. K., and Aung,  W., 1990, “Effect of Wall Conduction on Free Convection Between Asymmetrically Heated Vertical Plates: Uniform Wall Heat Flux,” Int. J. Heat Mass Transfer, 33, pp. 1013–1023.
Sparrow,  E. M., Chrysler,  G. M., and Azevedo,  L. F., 1984, “Observed Flow Reversal and Measured-Predicted Nusselt Numbers for Natural Convection in a One-Sided Heated Vertical Channel,” ASME J. Heat Transfer, 106, pp. 325–332.
Sparrow,  E. M., and Azevedo,  L. F. A., 1985, “Vertical-Channel Natural Convection Spanning Between the Fully-Developed Limit and the Single-Plate Boundary-Layer Limit,” Int. J. Heat Mass Transfer, 28, pp. 1847–1857.
Kettleborough,  C. F., 1972, “Transient Laminar Free Convection Between Heated Vertical Plates Including Entrance Effects,” Int. J. Heat Mass Transfer, 15, pp. 883–896.
Nakamura,  H., Asako,  Y., and Naitou,  T., 1982, “Heat Transfer by Free Convection Between Two Parallel Flat Plates,” Numer. Heat Transfer, 5, pp. 95–106.
Naylor,  D., Floryan,  J. M., and Tarasuk,  J. D., 1991, “A Numerical Study of Developing Free Convection Between Isothermal Vertical Plates,” ASME J. Heat Transfer, 113, pp. 620–626.
Chang,  T. S., and Lin,  T. F., 1989, “Transient Buoyancy-Induced Flow Through a Heated, Vertical Channel of Finite Height,” Numer. Heat Transfer, Part A, 16, pp. 15–35.
Ramanathan,  S., and Kumar,  R., 1991, “Correlations for Natural Convection Between Heated Vertical Plates,” ASME J. Heat Transfer, 113, pp. 97–107.
Shyy,  W., Gingrich,  W. K., and Gebhart,  B., 1992, “Adaptive Grid Solution for Buoyancy-Induced Flow in Vertical Slots,” Numer. Heat Transfer, Part A, 22, pp. 51–70.
Morrone,  B., Campo,  A., and Manca,  O., 1997, “Optimum Plate Separation in Vertical Parallel-Plate Channels for Natural Convective Flows: Incorporation of Large Spaces at the Channel Extremes,” Int. J. Heat Mass Transfer, 40, pp. 993–1000.
Campo,  A., Manca,  O., and Morrone,  B., 1999, “Numerical Analysis of Partially Heated Vertical Parallel Plates in Natural Convective Cooling,” Numer. Heat Transfer, Part A, 36, pp. 129–151.
Morrone,  B., 2001, “Natural Convection Between Parallel Plates With Conjugate Conductive Effects,” Numer. Heat Transfer, Part A, 40, pp. 873–886.
Dyer,  J. R., 1975, “The Development of Laminar Natural Convection Flow in a Vertical Uniform Heat Flux Duct,” Int. J. Heat Mass Transfer, 18, pp. 1455–1465.
Dyer,  J. R., 1978, “Natural Convective Flow Through a Vertical Duct With Restricted Entry,” Int. J. Heat Mass Transfer, 21, pp. 1341–1354.
Boudebous,  S., Nemouchi,  Z., and Meniai,  A. H., 2001, “Numerical Study of Developing Natural Laminar Convection in a Vertical Hyperbolic Duct of a Fixed Length and with a Constant Wall Temperature,” Numer. Heat Transfer, Part A, 40, pp. 783–800.
Straatman,  A. G., Tarasuk,  J. D., and Floryan,  J. M., 1993, “Heat Transfer Enhancement From a Vertical, Isothermal Channel Generated by the Chimney Effect,” ASME J. Heat Transfer, 115, pp. 395–402.
Auletta,  A., Manca,  O., Morrone,  B., and Naso,  V., 2001, “Heat Transfer Enhancement by the Chimney Effect in a Vertical Isoflux Channel,” Int. J. Heat Mass Transfer, 44, pp. 4345–4357.
Martin,  L., Raithby,  G. D., and Yovanovich,  M. M., 1991, “On the Low Rayleigh Number Asymptote for Natural Convection Through an Isothermal, Parallel-Plate Channel,” ASME J. Heat Transfer, 113, pp. 899–905.
Bar-Cohen,  A., and Rohsenow,  W. M., 1984, “Thermally Optimum Spacing of Vertical, Natural Convection Cooled, Parallel Plates,” ASME J. Heat Transfer, 106, pp. 116–123.
Rohsenow, W. M., Hartnett, J. P., and Cho, Y. I., eds., 1998, Handbook of Heat Transfer, McGraw-Hill, New York.
Gau,  C., Yih,  K. A., and Aung,  W., 1992, “Reversed Flow Structure and Heat Transfer Measurements for Buoyancy-Assisted Convection in a Heated Vertical Duct,” ASME J. Heat Transfer, 114, pp. 928–935.
Christov,  C. I., and Homsy,  G. M., 2001, “Nonlinear Dynamics of Two-Dimensional Convection in a Vertically Stratified Slot With and Without Gravity Modulation,” J. Fluid Mech., 430, pp. 335–360.
Lin,  W., Armfield,  S. W., and Morgan,  P. L., 2002, “Unsteady Natural Convection Boundary-Layer Flow Along a Vertical Isothermal Plate in a Linearly Stratified Fluid with Pr>1,” Int. J. Heat Mass Transfer, 54, pp. 451–459.
Shah, R. K., and London, A. L., 1978, “Laminar Flow Forced Convection in Ducts,” Adv. in Heat Transfer, suppl. 1, Academic Press, New York.
Bejan, A., 1995, Convection Heat Transfer, 2nd ed., Wiley, New York.

Figures

Grahic Jump Location
Geometry of parallel plate duct. Gravity acts in negative x-direction.
Grahic Jump Location
Nusselt numbers for uniform heat flux
Grahic Jump Location
Nusselt numbers for uniform wall temperature
Grahic Jump Location
Nusselt numbers for uniform wall temperature. Enlargement of Fig. 3.
Grahic Jump Location
Re versus Ra for constant H/S at uniform heat flux
Grahic Jump Location
Re versus H/S for constant Ra at uniform heat flux
Grahic Jump Location
Re versus H/S for constant RaS* at uniform heat flux
Grahic Jump Location
Re versus H/S for constant RaH* at uniform heat flux
Grahic Jump Location
Re versus Ra for constant H/S at uniform wall temperature
Grahic Jump Location
Re versus H/S for constant Ra at uniform wall temperature
Grahic Jump Location
Re versus H/S for constant RaS at uniform wall temperature
Grahic Jump Location
Re versus H/S for constant RaH at uniform wall temperature

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In