Non-Fourier Heat Conduction Effect on Laser-Induced Thermal Damage in Biological Tissues

Zhou, Jianhua; Zhang, Kun; Chen, J. K.

doi:10.1080/10407780802025911

Cited by 71 publications

(22 citation statements)

References 35 publications

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“…For heat transfer in biological materials with nonhomogeneous inner structures, heat flux equilibrates to the imposed temperature gradient via a relaxation mechanism [2][3][4]. To incorporate such a nontraditional mechanism, hyperbolic thermal wave models [5][6][7] have been proposed. In this methodology, the Fourier's law is replaced by:…”

Section: Introductionmentioning

confidence: 99%

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Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues

Zhang

2009

International Journal of Heat and Mass Transfer

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198

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Section: Introductionmentioning

confidence: 99%

“…which is referred to as hyperbolic bioheat equation [7]. In laser hyperthermia, laser coagulation, and laser surgery, the thermal effect of the lasers are employed.…”

Section: Introductionmentioning

confidence: 99%

Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues

Zhang

2009

International Journal of Heat and Mass Transfer

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198

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“…In the case of nonhomogenous materials such as biological materials, the HHCE has been applied to predict experimental results [24]. This has been questioned subsequently by authors suggesting that in biological materials both energy and mass transfer occur [25,26], entailing the use of both the HHCE and the Pennes heat transfer equation [27][28][29]. More recently, combination of the HHCE and the Pennes heat transfer equation has been used to determine the surface heat flux from skin [30].…”

Section: Introductionmentioning

confidence: 98%

3-Omega Method for Thin Films with the Non-Fourier Boundary Condition

Shenoy

Bayazıtoğlu

2015

Numerical Heat Transfer, Part B: Fundamentals

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The effect of non-Fourier boundary condition on the 3-omega method for measuring the thermal conductivity of microscale thin films using the hyperbolic heat conduction equation and the Fourier equation is examined. Non-Fourier boundary condition with the Fourier equation leads to 80% error in the temperature oscillations and increases the error to 85% in the case of non-Fourier boundary condition with the hyperbolic heat conduction equation. The solution of the non-Fourier boundary condition with the hyperbolic heat conduction equation gives the most accurate thermal conductivity expression. The analysis also provides a method for determining the relaxation time of thin films.

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“…The Fourier law, which states that heat is transferred by diffusion process alone, cannot account for the transient heat transfer in situations such as extremely short time duration, very low temperature, and extremely large heat flux. Hence, there has been a growing interest in discovering new heat transfer models [7] as well as applying existing non-Fourier models to physical problems [2,13,24]. Most recent examples include but not limited to the application of non-Fourier heat transfer to study laser-induced thermal damage in biological tissues with nonhomogeneous inner structures [24], to investigate the critical energy characteristics of cooled composite superconductor [2], and to examine the physical anomalies during the transient heat transfer process under the dual-phase-lag model [13].…”

Section: Introductionmentioning

confidence: 99%