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- W4200035007 abstract "This work concerns the modelling of transient thermal conduction within a heterogeneous medium by the movement of Brownian walkers. The material structure is voxelised, and each walker transports an elementary enthalpy during its displacement within the structure. This enthalpy transport represents the conductive flow and makes it possible to simulate the conduction in a transient state with a quantitative stochastic approach. A study of the impact of the value of the time step is carried out to fix the choice conditions of this parameter, in particular in the presence of strong contrasts in thermophysical properties, and as such to define a validity framework of the diffusion model. Then several academic problems related to the behaviour of walkers are resolved in order to be able to account for different thermal solicitations and conditions at the boundaries (Dirichlet, Neumann, Newton) with Brownian walkers. These results have in particular made it possible to reproduce the so-called “rear face flash” experimental technique using a model by Brownian walkers over a homogeneous medium. Then, a stochastic transmission criterion based on the thermal effusivities is demonstrated to treat the meeting of a walker with an interface between two constituents within a heterogeneous medium. This work, focused on the mastery of the dynamics of Brownian walkers within heterogeneous media for the correct simulation of transient conduction, is a first step towards the modelling of the transient conduction-radiation coupling by means of Brownian walkers coupled to ray tracing techniques at the local scale of a voxelised structure." @default.
- W4200035007 created "2021-12-31" @default.
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- W4200035007 date "2022-03-01" @default.
- W4200035007 modified "2023-09-24" @default.
- W4200035007 title "Modelling of heat transfer within heterogeneous media by Brownian walkers" @default.
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- W4200035007 doi "https://doi.org/10.1016/j.ijheatmasstransfer.2021.122261" @default.
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