Lattice Boltzmann Solution of Transient Heat Conduction Problem in an Infinite Slab Coupled with Non-Linear Heat Generation

Abstract:

This article reports the transient solution of a one-dimensional (1-D) heat conduction problem having temperature-dependent internal heat generation in a slab. The slab is assumed to be made of a homogeneous material with constant thermal properties. Furthermore, the boundary conditions at two extremities of the slab are considered to be suddenly imposed temperature and convective heat transfer respectively. The present investigation emphasizes the occurrence of non-linear internal heat generation within material owing to the presence of absorption phenomenon, exothermic reaction, and flow of electrons which can be foreseen in the application of hot wire anemometer, optoelectrical arrangement, etc. Lattice Boltzmann (LB) method has been effectively implemented for obtaining the solution of a non-linear governing differential equation. The investigation outcomes would be informative to the designer in the field of transient analysis of one-dimensional slabs associated with heat generation.

• Periodical: Engineering Headway (Volume 17)
• Pages: 41-49
• DOI: https://doi.org/10.4028/p-NOE8Sb
• Online since: January 2025
• Authors: Abhishek Sahu*, Shubhankar Bhowmick
• Keywords: Convective End Slab, Heat Generations Slab, Lattice Boltzmann Method, Temperature-Dependent Heat Generation, Transient Heat Conduction

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