TY - JOUR
TI - Non-linear heat conduction with ramped surface heating ramp surface heating and approximate solution
AU - Hristov Jordan Y
JN - Thermal Science
PY - 2020
VL - 24
IS - 11
SP - 377
EP - 389
PT - Article
AB - Non-linear heat conduction with a power-law thermal diffusivity and ramped  surface temperature has been solved by the double-integration technique of  the integral-balance integral method. The case of a semi-infinite medium  and infinite ramp of surface temperature has been considered as example  demonstrating the versatility of the solution approach. The thermal  penetration depth and solution behaviours with finite speeds have been  analyzed.