The Prediction of the Emissivity and Thermal Conductivity of Powder Beds

A simple model for estimating the emissivity of the surface of a powder bed by knowing only the bed porosity and its solid emissivity is presented. Estimates by the model are compared with experimental measurements for powder beds of alumina, silicon carbide, and iron. Agreement within the uncertainty of the measurements of ±10% is obtained. A view factor that adopts the predicted emissivity of the powder beds into its term is suggested for the calculation of the conductivity by radiation. For the prediction of the thermal conductivity of the powder beds, the authors compared the existing models in literature. They rederived the Zehner-Schlünder equation (1970) and made some modifications to it. Comparison of predictions by this equation with 424 measured values shows the predictions to be accurate to within a ±30% relative error.

[1]  J. S. Boegli,et al.  An Investigation of Effective Thermal Conductivities of Powders in Various Gases , 1958, Journal of Fluids Engineering.

[2]  L. Rosenhead Conduction of Heat in Solids , 1947, Nature.

[3]  Gilbert F. Froment,et al.  Heat transfer in packed beds , 1972 .

[4]  E. Schlunder Heat exchanger design handbook , 1983 .

[5]  William Schotte,et al.  Thermal conductivity of packed beds , 1960 .

[6]  J. W. Barlow,et al.  Thermal Properties of Powders , 1990 .

[7]  E. Hahne,et al.  Measurements of Thermal Conductivity in Porous Media , 1991 .

[8]  P. Zehner,et al.  Wärmeleitfähigkeit von Schüttungen bei mäßigen Temperaturen , 1970 .

[9]  G. Kling Das Wärmeleitvermögen eines Kugelhaufwerks in ruhendem Gas , 1938 .

[10]  Sakae Yagi,et al.  Studies on Effective Thermal Conductivities in Packed Beds , 1954 .

[11]  Wonmin Lee,et al.  The Effective Thermal Conductivity of Packed Beds , 1966 .

[12]  R. Bauer,et al.  Effective Radial Thermal Conductivity of Packings in Gas Flow , 1978 .

[13]  A. Helte Radiative and conductive heat transfer in porous media: Estimation of the effective thermal conductivity , 1993 .

[14]  R. Vachon,et al.  A prediction of the bounds on the effective thermal conductivity of granular materials , 1977 .

[15]  J. W. Barlow,et al.  Measurement and Prediction of the Thermal Conductivity of Powders at High Temperatures , 1994 .

[16]  W. Rohsenow,et al.  Handbook of Heat Transfer Fundamentals , 1985 .

[17]  Randall M. German,et al.  Particle packing characteristics , 1989 .

[18]  David L. Bourell,et al.  Selective Laser Sintering of Polymer-Coated Silicon Carbide Powders , 1995 .

[19]  H. Johnstone,et al.  Heat and mass transfer in packed beds , 1955 .

[20]  Kuzman Ražnjević,et al.  Handbook of Thermodynamic Tables and Charts , 1976 .

[21]  若尾 法昭,et al.  Heat and mass transfer in packed beds , 1982 .

[22]  Effective Thermal Conductivities of Packed Beds , 1957 .

[23]  J. Beaman,et al.  Model of the selective laser sintering of bisphenol-A polycarbonate , 1993 .

[24]  J. J. Barker HEAT TRANSFER IN PACKED BEDS , 1965 .

[25]  V. S. Vaidhyanathan,et al.  Transport phenomena , 2005, Experientia.

[26]  W. Kannuluik,et al.  Conduction of Heat in Powders , 1933 .

[27]  R. Bechmann,et al.  Numerical data and functional relationships in science and technology , 1969 .

[28]  D. Dewitt,et al.  Theory and practice of radiation thermometry , 1988 .

[29]  F. Scheller,et al.  A novel multienzyme electrode for the determination of citrate , 1995 .