3D model of thermal interactions between human forearm and environment

Abstract

Abstract. Thermal processes in the domain of a human forearm are considered. The external surface of forearm is in the direct thermal contact with the environment. The steady state problem is considered. From the mathematical point of view, the task is described by the system of the Poisson-type equations, the boundary conditions given on the contact surface between tissue sub-domains, the boundary conditions determining heat transfer between blood vessels and tissue and the boundary conditions on the external surface of the system. The non-homogeneous forearm domain is reconstructed as accurately as possible (3D task). At the stage of numerical modelling, the finite element method has been used. In the final part of the paper the example of computations is presented.

1D generalized dual-phase lag equation. Sensitivity analysis with respect to the porosity

“…[1][2][3][4][5][6][7][8]. One of them is the dual-phase lag equation [9][10][11] in which two time parameters τ q and τ T appear.…”

Sensitivity of Temperature Field in the System Protective Clothing - Forearm With Respect to Perturbations of External Heating Conditions

“…The transient temperature field in the tissue sub-domains is determined by the Fourier-type equation called the Pennes equation [1][2][3][4][5][6][7]. This equation contains two additional components (the source functions), this means the perfusion heat source and the metabolic heat source.…”