Packed bed models of permittivity for capacitance probes

Using the analogy between electrical conductivity and permittivity (Smythe 1968), Maxwell s result Equation 3.7 can be transformed into an effective dielectric constant Kb for a dilute suspension of spheres having dielectric constant Kd (permittivity j) suspended in a continuous medium of dielectric constant Kc (permittivity ej 

FIGURE 3-2 Effective bulk dielectric constant for different models, Krf = 7.0, Kc=l. 

In considering capacitance probes, various models for the dielectric constant of a packed bed were reviewed by Jones (1979) and for fluidized beds Louge (1997). Jones includes the effects of 

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