Thermal lagging in living biological tissue based on nonequilibrium heat transfer between tissue, arterial and venous bloods

Afrin, Nazia; Zhang, Kun; Chen, J.K.

doi:10.1016/j.ijheatmasstransfer.2011.02.020

Cited by 72 publications

(30 citation statements)

References 17 publications

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“…[26,27,28,29,30,31]. Based on a fractal approach, the idea behind the dual phase lag concept is further extended by Ezzat et al to a three phase lag approach [32] and applied by Akbarzadeh and Pasini along with the DPL model [33].…”

Section: Dual Phase Lag Conceptmentioning

confidence: 99%

Thermodynamical consistency of the dual-phase-lag heat conduction equation

Kovács

Ván

2017

Continuum Mech. Thermodyn.

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Section: Dual Phase Lag Conceptmentioning

confidence: 99%

Thermodynamical consistency of the dual-phase-lag heat conduction equation

Kovács

Ván

2017

Continuum Mech. Thermodyn.

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“…Based on a non-equilibrium heat transfer model in the living tissue obtained by performing volume averaging to the local instantaneous energy equations for blood and tissues, a generalized DPL bioheat equations with the blood or tissue temperature as the sole unknown temperature are obtained [188,189].…”

Section: Surrounding Tissue Of Blood Vesselmentioning

confidence: 99%

Macro- to Nanoscale Heat and Mass Transfer: The Lagging Behavior

2015

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The classical model of the Fourier's law is known as the most common constitutive relation for thermal transport in various engineering materials. Although the Fourier's law has been widely used in a variety of engineering application areas, there are many exceptional applications in which the Fourier's law is questionable. This paper gathers together such applications. Accordingly, the paper is divided into two parts. The first part reviews the papers pertaining to the fundamental theory of the phase-lagging models and the analytical and numerical solution approaches. The second part wrap ups the various applications of the phase-lagging models including the biological materials, ultra-high-speed laser heating, the problems involving moving media, micro/nanoscale heat transfer, multi-layered materials, the theory of thermoelasticity, heat transfer in the material defects, the diffusion problems we call as the non-Fick models, and some other applications. It is predicted that the interest in the field of phase-lagging heat transport has grown incredibly in recent years because they show good agreement with the experiments across a wide range of length and time scales.

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“…The magnitude of heat source was set to 200 (kW/m 3 ), based on a typical power range of interstitial hyperthermia by injection of magnetic nanoparticles [31]. The calculated 2D temperature fields of solid phase, after 5 min heating with this source, are shown in Fig.…”

Section: Case Study Iii: Local Intensive Heating Of Solid Phasementioning

confidence: 99%

“…One of these differences is the absence or presence of perfusion term in blood and tissue energy equations, and the other is the consideration of blood as the integrated fluid phase or separated arterial and venous phases. Accordingly, the porous mediabased studies of living tissue heat transfer can be categorized into four groups: two equation models without perfusion term [5][6][7][8][9][10][11][12][13][14][15][16][17][18], two equation models with perfusion term [19][20][21][22][23][24][25][26][27], three equation models without perfusion term [27,28], and three equation models with perfusion [29][30][31]. For better understanding and evaluation of these important differences, this paper establishes a vascular tissue with cylindrical geometry and relative anatomical similarity to human muscle tissues.…”

Section: Introductionmentioning

confidence: 99%