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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018017977
pages 327-348

NUMERICAL MODELING OF HEAT AND MASS TRANSFERS UNDER SOLAR DRYING OF SEWAGE SLUDGE

Nidhal Ben Hassine
Laboratoire de Mathématiques et Physique, University of de Perpignan Via Domitia, 52 Paul Alduy Ave., 66860 Perpignan Cedex 9, France; Laboratoire d'Energétique et Transferts Thermique et Massique, Faculty of Science of Bizerte, University of Carthage, Jarzouna 7021, Tunisia
Xavier Chesneau
Laboratoire de Mathématiques et Physique LAMPS, Université de Perpignan via Domitia, 52 Avenue Paul Alduy, 66860 Perpignan Cedex 9, France
Ali Hatem Laatar
LETTM, Department of Physics, Faculty of Sciences of Tunis, Tunis El Manar University, 1060 Tunis, Tunisia; Department of Physics, Faculty of Sciences of Bizerte, University of the 7th November at Carthage, 7021 Jarzouna-Bizerte, Tunisia; Department of Physics, Faculty of Sciences of Tabuk, Tabuk University 71491, Saudi Arabia

ABSTRACT

The drying of sewage sludge is a current environmental problem, not sufficiently described in the literature. Hence, the aim of this work is a numerical study of heat and mass transfer under solar drying of residual sludge. This sludge is assimilated to a porous medium and exposed to a forced convection laminar flow within a horizontal channel. The processes of transfer in the channel and in the porous medium are respectively described by the classical equations of forced convection and of the Darcy–Brinkman–Forchheimer model. The implicit finite difference method is used to discretize the governing differential equation system. The algebraic systems obtained are solved using the Gauss, Thomas, and Gauss–Seidel algorithms. To determine the drying rate, we associate a drying kinetics model. We particularly studied the effects of solar radiation intensity and ambient air temperature on the space–time evolution of temperature, velocity, and mass traction at the ambient air–porous medium interface. Moreover, the evolutions of Nusselt and Sherwood numbers are represented to characterize the processes of transfer at the sludge surface. This work is completed by a drying kinetics study. Indeed, we represent the space–time evolution of the drying rate and water content.


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