Two-dimensional Model of PBMR - The Energy-balance Equation

Two-dimensional Model of PBMR - The Energy-balance Equation 

In analogy to the component mass-balance equation, the thermal energy equation is 

The first approach presumes heat dispersion with different but radially constant coefficients in both directions. For the radial heat dispersion one can write  

18) is the superficial velocity of the fluid in the core of the packed bed (i.e. at r = 0). The dimensionless numbers Reo and Pcq are calculated with the average superficial velocity. 

The axial dispersion coefficient is again calculated in analogy to Eq. (5.17)  

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