A simplified analytical solution of the governing differential equation for falling film absorption around a smooth horizontal tube is developed and compared to numerical results and experimental data from literature. Besides the assumption of a linear temperature profile, linear interfacial equilibrium together with the hypotheses of small mass-penetration are applied at the film interface to reach closed analytical expressions of the temperature and mass fraction fields, which can be used to estimate the local and average heat and mass transfer coefficients within falling film absorbers and generators. The noteworthy agreement with numerical results supports the simplifying assumptions introduced, and the inclusion of partial-wetting effects brings the results closer to the experimental data from previous literature, widening the applicability of this formulation.
Read full abstract