SHOCK WAVES IN BIOLOGICAL TISSUES UNDER TELEGRAPH EQUATION HEAT CONDUCTION

• DOI: 10.1615/intjmultcompeng.2022042921
• Publication Date: 2022-06-23T18:17:10Z
• Authors: Junren Ran; Hamza El-Kebir; Yuriy Povstenko; Richard Berlin; Joseph Bentsman; Martin Ostoja-Sta...
• Keywords: Heat equation

Electrosurgery aimed at the removal of tumors results in highly transient heat conduction. Simulations temperature fields, under assumption that soft tissue organs is governed by a telegraph (damped hyperbolic) equation, are conducted 2d setting with finite differencing space and time. Six trajectories source motion simulated: along two-phase interface, interface an offset, normal to on curved (sine function) path single phase, circular around inclusion one type matrix another type. With surgeon’s hand velocity typically greater than equation’s second sound velocity, supersonic, giving rise evolving shock waves, Mach wedges, high-temperature concentrations.