A transmission line matrix (TLM) study of hyperbolic heat conduction in biological materials

Saïdane, A.; Aliouat, S.; Benzohra, M.; Kétata, M.

doi:10.1016/j.jfoodeng.2004.06.029

Cited by 19 publications

(20 citation statements)

References 13 publications

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“…Thus, with the Cattaneo-Fox model in porous convection we find the Rayleigh number threshold is the smaller of (18) and (25). By equating these quantities we find…”

Section: Prdmentioning

confidence: 60%

“…Recent studies confirm this is not simply a low temperature phenomenon, but one which has potentially important real applications. Mundane applications of hyperbolic heat propagation are in fields such as skin burns, Dai et al [6], chemotaxis, Dolak and Hillen [8], virus spread, Barbera et al [1], heat transfer in one of Saturn's moons, Bargmann et al [2], traffic flow, Jordan [11], heat propagation in biological tissues, Vedavarz et al [31], Mitra et al [16], phase changes, Liu et al [14], Miranville and Quintanilla [15], food technology, Saidane et al [25], and in nanofluids, Vadasz et al [30]. Other related applications are discussed in Quintanilla and Racke [22,23], Jordan [12], Reverberi et al [24], Straughan [28], chapters 7 and 8, Vadasz [29], Vadasz et al [30].…”

Section: Introductionmentioning

confidence: 99%

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Porous convection with Cattaneo heat flux

Straughan

2010

International Journal of Heat and Mass Transfer

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“…Thus, with the Cattaneo-Fox model in porous convection we find the Rayleigh number threshold is the smaller of (18) and (25). By equating these quantities we find…”

Section: Prdmentioning

confidence: 60%

Section: Introductionmentioning

confidence: 99%

Porous convection with Cattaneo heat flux

Straughan

2010

International Journal of Heat and Mass Transfer

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“…The TLM method is explicit, one step, and unconditionally stable. It was extended to model the propagation of medical ultrasound [39], and recently to predict the temperature distribution in non-perfused biological material namely samples of meat [27]. In this work it is extended to a perfused living tissue.…”

Section: Tlm Modelmentioning

confidence: 99%

“…To our knowledge, all work done has not used the transmission line matrix (TLM) method to investigate the field temperature in living tissue. Recently, we have applied a threedimensional TLM model to simulate the heat diffusion in non-perfused tissue [27] especially meat samples. In this work, we extend our model to living tissues including blood perfusion.…”

Section: Introductionmentioning

confidence: 99%

Dimensional soft tissue thermal injury analysis using transmission line matrix (TLM) method

Bellia

Saïdane

Benzohra

et al. 2008

Int J Numerical Modelling

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The skin is sensitive to temperature change and the effect may not be significant while the temperature at the surface is below 448C: However, higher surface temperatures (above 448C) will further incur time burning and carbonization so that irreversible damage may happen. An investigation of the heating intensity and the duration of the exposure to the heating source suggested that when the surface temperature is greater than 518C; the exposure time required to destroy the epidermis is so short that transepidermal necrosis may occur. In this paper, we present one-and two-dimensional numerical models based on transmission line matrix (TLM) method for a quantitative prediction of skin burn injury resulting from the exposure of the skin surface to a high temperature heat source. Transient temperatures are numerically estimated by solving the Pennes' bioheat equation, and the damage function denoting the extent of burn injury is calculated using the Arrhenius assumptions for protein damage rate. The TLM model is used to analyse the effects of exposure time and geometrical dimensions of mutlilayered skin, on the transient temperature distribution and damage extension. TLM results showed good agreement with other numerical sources, suggesting that TLM modelling can be used as a tool for an effective thermal diagnostic of burn injuries.

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“…Liu et al [10], Miranville and Quintanilla [11], biological materials, cf. Saidane et al [20], and in nanofluids, cf. Straughan [23], chapters 7 and 8, Vadasz [25], Vadasz et al [26].…”

Section: Introductionmentioning

confidence: 99%

Oscillatory convection and the Cattaneo law of heat conduction

Straughan

2009

Ricerche mat.

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The problem of thermal convection is investigated for a layer of fluid when the heat flux law of Cattaneo is adopted. The boundary conditions are those appropriate to two fixed surfaces. It is shown that for small Cattaneo number the critical Rayleigh number initially increases from its classical value of 1707.765 until a critical value of the Cattaneo number is reached. For Cattaneo numbers greater than this critical value a notable Hopf bifurcation is observed with convection occurring at lower Rayleigh numbers and by oscillatory rather than stationary convection. The aspect ratio of the convection cells likewise changes.

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A transmission line matrix (TLM) study of hyperbolic heat conduction in biological materials

Cited by 19 publications

References 13 publications

Porous convection with Cattaneo heat flux

Porous convection with Cattaneo heat flux

Dimensional soft tissue thermal injury analysis using transmission line matrix (TLM) method

Oscillatory convection and the Cattaneo law of heat conduction

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