This
study investigates a desalination system based on a humidification–dehumidification
process driven by solar modules and proposes a solution within the
framework of equilibrium theory. Although the optimal operation of
the considered humidification–dehumidification system has been
investigated in the past and despite the simplifications and assumptions
characterizing equilibrium theory, the proposed solution provides
a thorough understanding of the system operation, which has not been
obtained yet. First, it allows an explanation of the asymmetry between
the humidifier and the dehumidifier, which results not from mass transport
limitations but from the functional dependence of the enthalpy of
moist air on temperature, which in turn depends on the functional
dependence of the saturation pressure of air. On the one hand, humidifying
air becomes easier when the temperature increases, leading to simple
wave interactions, to the corresponding smooth transitions, and to
greater entropy generation in the humidifier. On the other hand, dehumidifying
air becomes more difficult when the temperature decreases, leading
to shock interactions, to the corresponding sharp transitions, and
to smaller entropy generation in the dehumidifier. Then, it allows
description of the behavior of the overall system (i.e., considering
the solar modules connecting the dehumidifier and humidifier). Optimal
system operation is defined by determining the air-to-water mass flow
rate ratio that maximizes the productivity of fresh water for any
value of ambient conditions and saline water inlet temperature. Such
a maximum productivity curve separates low-productivity and high-productivity
regions, with a discontinuity causing a sudden drop in productivity
occurring when going from the latter to the former. Such a discontinuity
is well explained by equilibrium theory in terms of the operating
regimes of the humidifier and dehumidifier. Finally, equilibrium theory
is used to derive an analytical approximation of the optimal operating
curve. Such an analytical form describes well the actual solution,
particularly within the boundary conditions of interest, and provides
an immediate tool for easily determining the optimal system operation.