Investigation for the dual phase lag behavior of bio-heat transfer

Liu, Kuo Chi; Chen, Han Taw

doi:10.1016/j.ijthermalsci.2010.02.007

Cited by 117 publications

(40 citation statements)

References 24 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%

“…On the other hand the experimental evidences mostly show that this difference is negative. In the work of Liu and Chen [31], the DPL equation is fitted to experimental results with τ T > τ q in every case and in heterogeneous materials there is a similar situation [52,53,54]. It draws attention to the practical aspects which emphasized further in the next section.…”

Section: Criticism Of Dplmentioning

confidence: 99%

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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%

Section: Criticism Of Dplmentioning

confidence: 99%

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

Kovács

Ván

2017

Continuum Mech. Thermodyn.

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“…Further study will be focus on the use of the dual-phase lagging equation as a new modified bioheat transfer equation as considered by other researchers [19,54,55,[63][64][65][66][67][68][69][70][71], where the relaxation times associated with both heat flux and the temperature gradients are considered. In particular, we have noticed that the overall tissue can be considered to be a porous medium consisting of the vascular region and the extravascular region.…”

Section: Resultsmentioning

confidence: 99%

Thermal analysis in a triple-layered skin structure with embedded vasculature, tumor, and gold nanoshells

Orndorff

Ponomarev

Dai

et al. 2017

International Journal of Heat and Mass Transfer

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a b s t r a c tObtaining accurate temperature distributions in living tissue related to hyperthermia skin cancer treatment without using an intruding sensor is a challenge. Here, we report a mathematical model that can accurately determine the temperature distribution in the tumor region and surrounding normal tissue. The model is based on a modified Pennes' equation for the bioheat transfer in a 3-D triple-layered skin structure embedded with a vascular countercurrent network and a tumor appearing in the subcutaneous region. The vascular network is designed based on the constructal theory of multi-scale tree-shaped heat exchangers. The tumor is injected with gold nanoshells in order to be heated quickly. The proposed model is implemented numerically using a stable finite difference scheme. The method is demonstrated and tested by an example.

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“…The law of the Jeffreys type (IV.1) includes two different cases, τ > τ 2 and τ < τ 2 , depending on whether the relaxation time τ is higher or lower than τ 2 . Both cases are considered in literature, see, e. g., [19,[25][26][27]. The first inequality τ > τ 2 is equivalent to D 2 > 0.…”

Section: Equation Of the Jeffreys Typementioning

confidence: 99%

Local immobilization of particles in mass transfer described by a Jeffreys-type equation

Rukolaine

Samsonov

2013

Phys. Rev. E

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We consider the equation of the Jeffreys type as the basic one in three different models of mass transfer, namely, the Jeffreys type and two-phase models, and the D 1 approximation to the linear Boltzmann equation. We study two classic 1 + 1D problems in the framework of each model. The first problem is the transfer of a substance initially confined in a point. The second problem is the transfer of a substance from a stationary point source. We calculate the mean-square displacement (MSD) for the solutions of the first problem. The temporal behaviour of the MSD in the framework of the first and third models is found to be the same as that in the Brownian motion described by the standard Langevin equation. Besides, we find a remarkable phenomenon when a portion of the substance does not move.

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Investigation for the dual phase lag behavior of bio-heat transfer

Cited by 117 publications

References 24 publications

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

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

Thermal analysis in a triple-layered skin structure with embedded vasculature, tumor, and gold nanoshells

Local immobilization of particles in mass transfer described by a Jeffreys-type equation

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