Coupling heat conduction and water–steam flow in a saturated porous medium

Abstract

International audienceThis paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical method, based on a method of lines and differential algebraic equations (DAE) solvers, combined with a Newton method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity method (AHC) is used, and in order to validate our codes, a comparison with experiments is done

A new process of reconstructing archaeological fires from their impact on sediment: a coupled experimental and numerical approach based on the case study of hearths from the cave of Les Fraux (Dordogne, France)

“…The modelling of heat propagation in a sediment containing water is very complex and would require thermophysical parameters dependent on time, depth and temperature (Muhieddine et al 2011). Thus, the cut out structure in three layers allows us to simulate three states of drying in order to simplify the model by using constant parameters in each layer.…”

Optimal Control Algorithm for Continuous Casting Process by Using Fuzzy Logic

“…The latent heat must be taken into account in order to obtain an accurate result. Muhieddine et al described several methods concerning to simulation of solidification problems, including the temperature recovery method, specific heat capacity method, and the enthalpy method. Li et al applied front tracking method, but only for 2D problem.…”

Ex Vivo Liver Tissue Radiofrequency Thermal Ablation: Ir Measurements and Simulations

“…The liquid-vapor phase change of the tissue liquids is modeled using the Apparent Heat Capacity method (Bonacina et al, 1973;Muhieddine et al, 2011): the tissue specific heat is modified adding a symmetric Gaussian pulse to mimic the effects of the latent heat due to liquid vaporization. The pulse parameters  and  (mean and standard deviation) control respectively the temperature corresponding to the Gaussian' peak and the temperature range over which the specific heat is modified.…”