Modeling the Flash Method by Using a Conducto-Radiative Monte Carlo Algorithm : Application to Porous Media

Abstract

In the following paper, both conduction and radiation heat transfer were explored with a Monte-Carlo method applied to a complex geometry. The algorithm accounted for the coupling of conduction in the solid phase and radiation through the void phase and is used for direct simulation of a flash method. This allowed us to evaluate the effective total conductivity of the equivalent homogenized medium in function of a wide range of thermal, optical and geometric properties. The influence of the hemispherical emissivity of the struts material, the porosity and the diameter of the cells are investigated. Moreover, this procedure appears to be a useful tool to confirm whether or not the assumption of the diffuse radiation (Rosseland) is valid.

Path integrals formulations leading to propagator evaluation for coupled linear physics in large geometric models

“…This benchmark has been already used by Sans et. al [21] for the purpose of validating Monte Carlo simulations of coupled diffusion-radiation heat transfer. The open-porosity configuration corresponds to a heterogeneous 3D honeycomb that can be assimilated to a porous medium with open channels, like a heat exchanger configuration.…”

Coupled heat transfers resolution by Monte Carlo in urban geometry including direct and diffuse solar irradiations

“…2), the energy consumption may be computed by an expression similar to Eq. 2 that requires, T s,i (t) = 1 S i S i dA(⃗ y 0 ) T s (⃗ y 0 , t), (27) and the convective heat transfer coefficient (Tab. 2) which is set constant.…”

“…Although it is well-known that the Monte Carlo method (MCM) [11] can solve linear integrals whatever the domain size and number of dimensions, it has only recently been foreseen to solve for the temperature with a single MCM algorithm where conductionradiation-convection [12] are coupled. Early studies at steady-state [7,16] and transient [27] regimes have demonstrated the ability of MCM algorithms to solve for conductive, advective and radiative heat transfers in three-dimensional porous media with opaque solid surfaces and transparent fluid subdomains. Indeed, the heat transfer equation in a solid, with Robin's boundary condition (RBC), has been coupled to the radiative transfer equation (RTE) trough the double randomization technique (DRT) [21] allowing one to build conduction-advection-radiation random paths represented as broken lines linking the sources to a probe calculation point.…”

The Past and Future of the Monte Carlo Method in Thermal Radiation Transfer

“…For these reasons, MC has historically been used to model complex phenomenon and carry out high fidelity simulations, e.g., configuration factors for complex geometries [29][30][31][32][33][34][35][36][37][38], radiation heat transfer in porous, fibrous, and highly scattering turbid media [39][40][41][42][43][44][45], radiation between surfaces with strongly directionally dependent properties [46,47], combustion and flames [48][49][50][51][52][53][54][55], and shock waves [56]. The fact that MC usually provides an unbiased estimate with an unambiguous error estimate also makes it the default technique for validating and benchmarking other solution schemes [57][58][59].…”