NONEQUILIBRIUM DUAL-PHASE-LAG HEAT TRANSPORT THROUGH BIOLOGICAL TISSUES

2015 ◽  
Vol 18 (1) ◽  
pp. 57-69 ◽  
Author(s):  
Hossein Askarizadeh ◽  
Hossein Ahmadikia
Keyword(s):  
Heat Transport ◽  
Biological Tissues ◽  
Phase Lag ◽  
Dual Phase

Understanding Thermal Lagging Behaviors in Thermoelectric Elements with the Dual-Phase-Lag Model

2021 ◽  
Author(s):  
Wing K. Yeung ◽  
Tung T. Lam
Keyword(s):  
Heat Flux ◽  
Heat Transport ◽  
Energy Transport ◽  
Cooling System ◽  
Solution Process ◽  
Single Equation ◽  
Heat Diffusion ◽  
Phase Lag ◽  
Dual Phase ◽  
Lag Model

Abstract This study investigates the heat transport mechanism in semiconductor elements within a homogeneous thermoelectric cooling system using the dual-phase-lag model. The thermal lagging behavior is analyzed and explored during the energy transport process. The coupled energy and constitutive partial differential equations are solved simultaneously to reduce the complexity of the high-order spatial and time derivatives. This approach simplifies the mathematical solution process and reduces numerical instabilities when compared to the conventional methodology in which either the temperature or heat flux are solved individually with a single equation. The effect of the thermal lagging behavior on energy transport is examined and compared to results by using the Cattaneo-Vernotte model. Furthermore, the phase-lag behavior on the temperature and heat flux profiles are investigated in detail. This study provides perceptive information for engineering applications in which microscale heat transport phenomenon plays a significant role during the design process. Adding the dual-phase-lag model to the traditional heat diffusion model will be a complementary option for engineers in the thermoelectric industry.

Analysis of Heat Transfer Through Optically Participating Medium in a Concentric Spherical Enclosure: The Role of Dual-Phase-Lag Conduction and Radiation

2018 ◽  
Vol 10 (4) ◽  
Author(s):  
Aritra Mukherjee ◽  
Pranab Kumar Mondal
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Heat Transport ◽  
Transport Process ◽  
Energy Equation ◽  
Spherical Geometry ◽  
Phase Lag ◽  
Dual Phase ◽  
Radial Temperature ◽  
Heat Transport Process

This paper deals with the analysis of the effects of combined dual-phase-lag (DPL) heat conduction and radiation in a concentric spherical enclosure with diffuse-gray surfaces. The enclosed medium is optically participating, i.e., it is radiatively absorbing, emitting, and scattering. Lattice Boltzmann method (LBM) is used to solve the energy equation, and finite volume method (FVM) is used to compute the radiative information. To establish the accuracy of this approach, the combined energy equation is also solved with the finite difference method. Radial temperature profiles and energy contributions by conduction and radiation at various instances and prior to steady-state are elaborated for different kind of thermal perturbations Influence of numerous conductive and radiative parameters over the heat transport process have been investigated in detail. It is observed that higher contribution of radiation to the heat transport process can destroy the thermal wave in the medium completely. Sample results for pure non-Fourier heat conduction, pure radiation, and steady-state response of combined Fourier conduction and radiation in spherical geometry are compared with the results available in literature. In all the cases, comparison shows good agreement with the reported results.

scholarly journals The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Najat A. Alghamdi
Keyword(s):  
Heat Flux ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Constant Heat Flux ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Constant Heat ◽  
Two Temperature

Abstract This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin tissue is subjected to a constant heat flux on the bounding plane of the skin surface. The separation of variables for the governing equations as a finite domain is employed. The transition temperature responses have been obtained and discussed. The results represent that the dual-phase-lag time parameter, heat flux value, and two-temperature parameter have significant effects on the dynamical and conductive temperature increment of the skin tissue. The Two-temperature dual-phase-lag (TTDPL) bioheat transfer model is a successful model to describe the behavior of the thermal wave through the skin tissue.

Sign in / Sign up

Export Citation Format

Share Document