Steady and unsteady analytical solutions of three-dimensional heat transfer in a multi-layer and porous skin tissue
DOI10.1007/S10665-021-10152-0zbMath1479.76125OpenAlexW3194704915MaRDI QIDQ2061429
Mohamad Hasan Malekmohamadi, Mehdi Mosharraf-Dehkordi, Hossein Ahmadikia
Publication date: 13 December 2021
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-021-10152-0
analytical solutionperfusionPennes three-layer tissue modelporous medium blood flowtemperature diffusion
Flows in porous media; filtration; seepage (76S05) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Physiological flows (76Z05) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
- Diffusion in composite layers with automatic solution of the eigenvalue problem
- A general bioheat transfer model based on the theory of porous media
- Numerical analysis of an equivalent heat transfer coefficient in a porous model for simulating a biological tissue in a hyperthermia therapy
- Critical times in multilayer diffusion. I: Exact solutions
- Transient response of the human limb to an external stimulus
- Steady-state heat conduction in multi-layer bodies.
- The role of porous media in modeling flow and heat transfer in biological tissues.
- Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications
- Exact analysis for the temperature response in tumours for three-dimensional heat transfer during the therapeutic time
- Exact analysis based on BDLTNE approach for thermal behaviour in living tissues during regional hyperthermia therapy
- An equation for thermal dispersion flux transport and its mathematical modelling for heat and fluid flow in a porous medium
This page was built for publication: Steady and unsteady analytical solutions of three-dimensional heat transfer in a multi-layer and porous skin tissue
