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kf is the fluid thermal conductivity (SI unit: W/(m·K))
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u is the fluid velocity vector (SI unit: m/s). It should be interpreted as the Darcy velocity, that is, the volume flow rate per unit cross sectional area. The average linear velocity (the velocity within the pores) can be calculated as uf = u/εp, where εp is the fluid’s volume fraction, or equivalently the porosity.
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(ρCp)pe,eff is the effective volumetric heat capacity at constant pressure inside the pellet filled with fluid (SI unit: J/(kg·K)), defined by
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εpe is the porosity within the pellet (dimensionless)
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Tpe is the temperature along the radial coordinate of the pellet (SI unit: K)
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rpe is outer radius of the pellet (SI unit: m)
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kpe,eff is the effective thermal conductivity of the pellet filled with fluid (SI unit: W/(m·K)), defined by
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kpe is the thermal conductivity of the porous matrix within the pellet (SI unit: W/(m·K))
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