Understanding the interaction between a fluid and a solid phase is of fundamental importance to the design of an adsorption process.Because the heat effects associated with adsorption are comparatively large
the as-sumption of isothermal behavior is a valid approximation only when uptake rates are relatively slow.In this article
we propose to determine when it is needed to choose the isothermal or non-isothermal assumption according to two physical parameters α (ratio convection/capacity) and β(quantity of energy/capacity) .The proposed problem is solved by a mathematical method in the Laplace domain.When α→∞ (infinitely high heat transfer coefficient) or β→0 (infinitely large heat capacity)
the limiting case is isothermal.When the diffusion is rapid (α10) the kinetics of sorption is controlled entirely by heat transfer.If the adsorption process is to be used as a heat pump
it shall be represented by an isotherm model withαandβas high as possible.
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