5.5 Further Issues
383
Fig. 5.123 Effect of the bed size on the radiation exchange factor for SC packing
Fig. 5.124 Probability density function of the prediction error for the view factor function
For a finite packed bed, the bed size also plays an essential role in the radiative heat
transfer. For a sphere near the physical boundaries, the surrounding particle number
satisfying X i j > 0 is less than that in the bulk region. For a structured packing, the
value of effective thermal conductivity in a finite packed bed is strictly less than that
of infinite packing. For the SC packing, the numerical results are shown in Fig. 5.123
under different bed sizes. The parameter N x is the number of layers in the x-axis
direction. The radiation exchange factor increases significantly with a bed size at
N x < 15 and reaches its maximum gradually at N x > 20.
383
Fig. 5.123 Effect of the bed size on the radiation exchange factor for SC packing
Fig. 5.124 Probability density function of the prediction error for the view factor function
For a finite packed bed, the bed size also plays an essential role in the radiative heat
transfer. For a sphere near the physical boundaries, the surrounding particle number
satisfying X i j > 0 is less than that in the bulk region. For a structured packing, the
value of effective thermal conductivity in a finite packed bed is strictly less than that
of infinite packing. For the SC packing, the numerical results are shown in Fig. 5.123
under different bed sizes. The parameter N x is the number of layers in the x-axis
direction. The radiation exchange factor increases significantly with a bed size at
N x < 15 and reaches its maximum gradually at N x > 20.