%0 Journal Article %T A finite difference model for undefined end boundary to analyse the heat transfer in dry sands %+ National Institute of Technology, Jamshedpur %+ Indian Institute of Technology Bombay (IIT Bombay) %+ Laboratoire Navier (NAVIER UMR 8205) %A Mondal, Somenath %A Singh, Devendra, N %A Tang, Anh Minh, A.M. %A Pereira, Jean-Michel %< avec comité de lecture %@ 1938-6362 %J International Journal of Geotechnical Engineering %I Taylor & Francis %V 16 %N 2 %P 256-262 %8 2022-02 %D 2022 %R 10.1080/19386362.2020.1854972 %K sands %K thermal regime %K heat transfer equation %K numerical analysis %K finite difference model %Z Engineering Sciences [physics]/Civil Engineering/GéotechniqueJournal articles %X Accurate prediction of thermal regime (i.e., the variation of soil temperature, θ, and heat flux, ) to investigate the migration of thermal energy in soil mass, poses challenge to the geoenvironmental engineers while dealing with various thermo-active structures. In this context, several numerical approaches have been attempted to solve the heat transfer equation (HTE) for conduction to predict the thermal regime. However, most of them need accurate boundary condition defined and involve complicated numerical approach which is inconvenient for the practising engineers. Hence, an attempt has been made in the present study to develop a simplified, but numerically efficient, approach based on the finite difference method (FDM) to analyse one dimensional heat transfer in dry sands when the end boundary is not defined. Furthermore, a time dependent initial boundary condition has been applied to this model to simulate similar experimental condition and results have been compared vis-à-vis those obtained from the experiment and COMSOL Multiphysics ® to validate the proposed approach. %G English %2 https://enpc.hal.science/hal-03053673/document %2 https://enpc.hal.science/hal-03053673/file/FDM%20paper_HAL.pdf %L hal-03053673 %U https://enpc.hal.science/hal-03053673 %~ ENPC %~ CNRS %~ UR-NAVIER %~ PARISTECH %~ OPENAIRE %~ IFSTTAR %~ GENIECIVIL %~ UNIV-EIFFEL %~ U-EIFFEL