0
TECHNICAL PAPERS: Porous Media

Experimental and Theoretical Modeling of the Effective Thermal Conductivity of Rough Steel Spheroid Packed Beds

[+] Author and Article Information
G. Buonanno, A. Carotenuto, G. Giovinco, N. Massarotti

Dipartimento di Meccanica Strutture Ambiente e Territorio (Di.M.S.A.T.), Università di Cassino, Via Di Biasio 43, 03043 Cassino, Italia

J. Heat Transfer 125(4), 693-702 (Jul 17, 2003) (10 pages) doi:10.1115/1.1578504 History: Received August 05, 2002; Revised March 14, 2003; Online July 17, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Whitaker, S., 1999, The Method of Volume Averaging, Kluwer Academic Publishers, Dordrecht, The Netherlands.
Fogler, S., 1992, Elements of Chemical Reaction Engineering, Prentice Hall, Englewood Cliffs, New Jersey.
McGreavy,  C., Foumeny,  E. A., and Javed,  K. H., 1986, “Characterization of Transport Properties for Fixed Bed in Terms of Local Bed Structure and Flow Distribution,” Chem. Eng. Sci., 41, pp. 787–797.
Demirel,  Y., Sharma,  R. N., and Al-Ali,  H. H., 2000, “On the Effective Heat Transfer Parameters in a Packed Bed,” Int. J. Heat Mass Transfer, 43, pp. 327–332.
Whitaker, S., 1980, Heat and Mass Transfer in Granular Porous Media, in Advances in Drying, Hemisphere Publishing Corporation, New York, pp. 23–61, Chap. 1.
Ringer, D. U., 1986, Heat Transfer Across Small Gaps, Drying of Solids, S. Mujumdar, ed., Wiley (Halstead Press), New York, pp. 84–90.
Cho,  H. H., and Eckert,  E. R. G., 1994, “Transition From Transpiration to Film Cooling,” Int. J. Heat Mass Transfer, 37, pp. 3–8.
Alazmi,  B., and Vafai,  K., 2000, “Analysis of Variance Within the Porous Media Transport Models,” ASME J. Heat Transfer, 122, pp. 303–326.
Cheng,  P., Hsu,  C. T., and Chowdhury,  A., 1988, “Forced Convection in the Entrance Region of a Packed Channel With Asymmetric Heating,” ASME J. Heat Transfer, 110, pp. 946–954.
Londry,  F. A., and Slavin,  A. J., 1991, “Thermal Conductivity of a Packed Bed of Hollow Zirconia Microspheres, Under Vacuum and Under 100 kPa of Argon,” J. Am. Ceram. Soc., 74, pp. 3118–3125.
Nield, D. A., and Bejan, A., 1998, Convection in Porous Media, 2nd ed., Springer, New York.
Freiwald,  M. G., and Paterson,  W. R., 1992, “Accuracy of Model Predictions and Reliability of Experimental Data for Heat Transfer in Packed Beds,” J. Am. Chem. Soc., 47, pp. 1545–1560.
Argento,  C., and Bouvard,  D., 1996, “Modelling the Effective Thermal Conductivity of Random Packing of Spheres Through Densification,” Int. J. Heat Mass Transfer, 39, pp. 1343–1350.
Cheng,  G. J., Yu,  A. B., and Zulli,  P., 1999, “Evaluation of Effective Thermal Conductivity From the Structure of a Packed Bed,” Chem. Eng. Sci. 54, pp. 4199–4209.
Buonanno,  G., and Carotenuto,  A., 2000, “The Effective Thermal Conductivity of Packed Beds of Spheres for a Finite Contact Area,” Numer. Heat Transfer, 37, pp. 343–357.
Slavin,  A. J., Londry,  F. A., and Harrison,  J., 2000, “A New Model for the Effective Thermal Conductivity of Packed Beds of Solid Spheroids: Alumina in Helium Between 100 and 500°C,” Int. J. Heat Mass Transfer, 43, pp. 2059–2073.
Duncan,  A. B., Peterson,  G. P., and Fletcher,  L. S., 1989, “Effective Thermal Conductivity Within Packed Beds of Spherical Particles,” ASME J. Heat Transfer, 111, pp. 830–836.
Kikuchi,  S., 2001, “Numerical Analysis Model of Thermal Conductivities of Packed Beds With High Solid-to-Gas Conductivity Ratio,” Int. J. Heat Mass Transfer, 44, pp. 1213–1221.
Tien, C. L., and Vafai, K., 1979, “Statistical Bounds for the Effective Thermal Conductivity of Microsphere and Fibrous Insulation,” AIAA Progress Series, 65 , pp. 135–148.
Rohsenow, W. M., Hartnett, J. P., and Ganic, E. N., 1985, Handbook of Heat Transfer Applications, McGraw-Hill Publishing Company, New York.
Shonnard,  D. R., and Whitaker,  S., 1989, “The Effective Thermal Conductivity for a Point Contact Porous Medium,” Int. J. Heat Mass Transfer, 32, pp. 503–512.
Deming, W., 1943, Statistical Adjustment of Data, John Wiley & Sons, New York.
Forbes,  A. B., 1993, “Generalized Regression Problems in Metrology,” Numer. Algorithms, 5, pp. 523–533.
Hadley,  G. R., 1986, “Thermal Conductivity of Packed Metal Powders,” Int. J. Heat Mass Transfer, 29, pp. 909–920.
Zienkiewiecz, O. C., and Taylor, R. L., 2000, The Finite Element Method, 5th ed. Butterworth-Heinemann, Oxford.
Buonanno, G., Carotenuto, A., Giovinco, G., and Massarotti, N., 2002, “Conducibilità termica effettiva di impaccamenti di sfere: analisi numerica e sperimentale preliminare per sferoidi in acciaid,” Proc. 57th ATI Congress, 17–20 Sept., Pisa, Italy.
Guide to the Expression of Uncertainty in Measurement, 1993, ISO, Geneve.
Johnson, K. L., 1992, Contact Mechanics, Cambridge University Press, Cambridge, Chap. 4 and 9.
Lambert,  M. A., and Fletcher,  L. S., 1997, “Thermal Contact Conductance of Spherical Rough Metals,” ASME J. Heat Transfer, 119, pp. 684–690.
Greenwood,  J. A., and Williamson,  J. B. P., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, A, pp. 295–300.
Zhao,  Y., Maietta,  D. M., and Chang,  L., 2000, “An Asperity Microcontact Model Incorporating the Transition From Elastic Deformation to Fully Plastic Flow,” ASME J. Tribol., 122, pp. 86–93.
Buonanno, G., Carotenuto, A., Giovinco, G., and Vanoli, L., 2003, “Influence of Contact Mechanics on the Prediction of the Effective Thermal Conductivity of Spheroids Packed Beds,” accepted for Summer ASME Heat Transfer Conference, Las Vegas, Nevada, USA, July 21–23, 2003.
Giovinco, G., 2002, “Effective Thermal Conductivity of Packed Beds of Spheroids: Numerical and Experimental Analysis,” Ph.D. Thesis, University of Cassino.
Cooper,  M. G., Mikic,  B. B., and Yovanovich,  M. M., 1969, “Thermal Contact Conductance,” Int. J. Heat Mass Transfer, 12, pp. 279–300.
Leung,  M., Hsieh,  C. K., and Goswami,  D. Y., 1998, “Prediction of Thermal Contact Conductance in Vacuum by Statistical Mechanics,” ASME J. Heat Transfer, 120, pp. 51–57.
Song,  S., Yovanovich,  M. M., and Goodman,  F. O., 1993, “Thermal Gap Conductance of Conforming Surfaces in Contact,” ASME J. Heat Transfer, 115, pp. 533–540.
Turyk, P. J., and Yovanovich, M. M., 1985, “Modified Effective Conductivity Models for Basic Cells of Simple Cubic Packed Beds,” Proc. 23rd National Heat Transfer Conference, Aug. 4–7, Denver, Colorado, HTD, 46 , p. 9
Slavin,  A. J., Arcas,  V., Greenhalgh,  C. A., Irvine,  E. R., and Marshall,  D. B., 2002, “Theoretical Model for the Thermal Conductivity of a Packed Bed of Solid Spheroids in the Presence of a Static Gas, With No Adjustable Parameters Except at Low Pressure and Temperature,” Int. J. Heat Mass Transfer, 45(20), pp. 4151–4161.

Figures

Grahic Jump Location
(a) The experimental apparatus; and (b) Measurement chamber
Grahic Jump Location
Surface roughness and mean absolute slope of the spheroids used in the analysis: (a) lapped spheroids (σ=0.02 μm and m=0.0017), (b) prelapped spheroids (σ=0.11 μm and m=0.0054), (c) hard grinded spheroids (σ=0.96 μm and m=0.0231), and (d) soft grinded spheroids (σ=1.20 μm and m=0.0270)
Grahic Jump Location
Elementary cell in a) SC and b) BCC packed beds
Grahic Jump Location
Modified elementary cells adopted in the numerical model
Grahic Jump Location
Mechanical model of the surfaces in contact
Grahic Jump Location
(a) Dimensionless contact radius; and (b) mean thermal conductance trends versus the equivalent peak height standard deviation
Grahic Jump Location
(a) Typical temperature; and (b) effective thermal conductivity trends measured
Grahic Jump Location
Effective thermal conductivity as the peak height standard deviation varies for (a) face centered cubic, and (b) simple cubic packed bed (dots are experimental data with the corresponding measurement uncertainty, continuous line is the present numerical model with the corresponding uncertainty represented by dashed lines)

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