Heat and Mass Transfer

, Volume 39, Issue 1, pp 47–55

# Numerical modelling of heat and mass transfer in adsorption solar reactor of ammonia on active carbon

• El. H. Aroudam

## Abstract

In this paper, we present a modelling of the performance of a reactor of a solar cooling machine based carbon–ammonia activated bed. Hence, for a solar radiation, measured in the Energetic Laboratory of the Faculty of Sciences in Tetouan (northern Morocco), the proposed model computes the temperature distribution, the pressure and the ammonia concentration within the activated carbon bed. The Dubinin–Radushkevich formula is used to compute the ammonia concentration distribution and the daily cycled mass necessary to produce a cooling effect for an ideal machine. The reactor is heated at a maximum temperature during the day and cool at the night. A numerical simulation is carried out employing the recorded solar radiation data measured locally and the daily ambient temperature for the typical clear days. Initially the reactor is at ambient temperature, evaporating pressure; P ev =P st (T ev =0 C) and maintained at uniform concentration. It is heated successively until the threshold temperature corresponding to the condensing pressure; P cond =P st (T am ) (saturation pressure at ambient temperature; in the condenser) and until a maximum temperature at a constant pressure; P cond . The cooling of the reactor is characterised by a fall of temperature to the minimal values at night corresponding to the end of a daily cycle. We use the mass balance equations as well as energy equation to describe heat and mass transfer inside the medium of three phases. A numerical solution of the obtained non linear equations system based on the implicit finite difference method allows to know all parameters characteristic of the thermodynamic cycle and consider principally the daily evolution of temperature, ammonia concentration for divers positions inside the reactor. The tube diameter of the reactor shows the dependence of the optimum value on meteorological parameters for 1 m2 of collector surface.

## Keywords

Activate Carbon Finite Difference Method Ammonia Concentration Saturation Pressure Thermodynamic Cycle
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