Heat conductionInfinite domains" \r "TEBK6625 in infinite domainsHeat conduction, in infinite domains;heat conduction, infinite domains" \r "TEBK6624 has extensive applications in engineering and applied sciences, particularly in the field of ground subsurface research and engineering. The first notable instance of interest in this area was in the late nineteenth century when electricity utility companies sought to understand the heat flow process surrounding buried electric cables. Lord Kelvin introduced the well-known Kelvin's line-source modelKelvin’s line-source model;Kelvins line-source model as the earliest approach to calculating heat flow in such a domain. According to this model, the ground is considered an infinite medium, within which an infinite line heat sourceInfinite lineheat source" \r "TEBK6642 representing the electric cable is embedded.