Significance of Non-Fourier Heat Waves in Conduction

Vedavarz, Ali; Kumar, Sunil; Moallemi, M. K.

doi:10.1115/1.2910859

Cited by 137 publications

(54 citation statements)

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“…Most biological materials that contain cells, superstructures, liquids, and solid tissue are non-homogeneous, so that their thermal relaxation times are much larger compared to engineering materials. Vedavarz et al [135] found τ q of biological materials and tissue has a value in the range of 10-1,000 s at cryogenic temperature and 1-100 s at room temperature. For meat products, τ q = 20-30 s [136,137].…”

Section: Skin Bioheat Transfermentioning

confidence: 98%

Biothermomechanical behavior of skin tissue

Seffen

2008

Acta Mech. Sin.

132

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Advances in laser, microwave and similar technologies have led to recent developments of thermal treatments involving skin tissue. The effectiveness of these treatments is governed by the coupled thermal, mechanical, biological and neural responses of the affected tissue: a favorable interaction results in a procedure with relatively little pain and no lasting side effects. Currently, even though each behavioral facet is to a certain extent established and understood, none exists to date in the interdisciplinary area. A highly interdisciplinary approach is required for studying the biothermomechanical behavior of skin, involving bioheat transfer, biomechanics and physiology. A comprehensive literature review pertinent to the subject is presented in this paper, covering four subject areas: (a) skin structure, (b) skin bioheat transfer and thermal damage, (c) skin biomechanics, and (d) skin biothermomechanics. The major problems, issues, and topics for further studies are also outlined. This review finds that significant advances in each of these aspects have been achieved in recent years. Although focus is placed upon the biothermomechanical behavior of skin tissue, the fundamental concepts and methodologies reviewed in this paper may also be applicable for studying other soft tissues.

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Section: Skin Bioheat Transfermentioning

confidence: 98%

Biothermomechanical behavior of skin tissue

Seffen

2008

Acta Mech. Sin.

132

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“…This feature results in higher thermal relaxation times compared with engineering materials. For example, τ q for biological tissues was measured to be in the range of 10-1000 s at cryogenic temperatures and 1-100 s at room temperature (Vedavarz et al 1994). Substituting the heat conduction equation (2.1) into the thermal wave equation, we can get the thermal wave model of heat transfer as…”

Section: (I) Hyperbolic Heat Equationmentioning

confidence: 99%

Multi-scale heat and mass transfer modelling of cell and tissue cryopreservation

Moon

Zhang

et al. 2010

Phil. Trans. R. Soc. A.

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Cells and tissues undergo complex physical processes during cryopreservation. Understanding the underlying physical phenomena is critical to improve current cryopreservation methods and to develop new techniques. Here, we describe multiscale approaches for modelling cell and tissue cryopreservation including heat transfer at macroscale level, crystallization, cell volume change and mass transport across cell membranes at microscale level. These multi-scale approaches allow us to study cell and tissue cryopreservation.

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“…The sizes of analytical model depend on the speed of propagation of thermal wave and elastic wave to ensure that the waves cannot spread to the border during computing time. According to reference [39], the value of thermal relaxation time τ (τ 0 , τ 1 ) for various materials is of the order of seconds (porous materials) to picoseconds (metals). For metals, the value of thermal relaxation time τ (τ 0 , τ 1 ) ranges from 10 −14 to 10 −11 s at room temperature and smaller than 10 −14 s at high temperatures.…”

Section: Numerical Example and Discussionmentioning

confidence: 99%

Two-dimensional thermoelastic problem of an infinite magneto-microstretch homogeneous isotropic plate

Xiong

Tian

2011

Arch Appl Mech

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In this work, the magneto-thermoelastic problem of an infinite microstretch homogeneous isotropic plate placed in a transverse magnetic field is studied in the context of different theories of generalized thermoelasticity. The upper surface of the infinite plate is subjected to a zonal time-dependent heat shock. The problem is investigated by applying finite element method. The solution is obtained by solving finite element governing equations of the problem in time domain directly. The results, including temperature, stresses, displacements, microrotation, microstretch, induced magnetic field, and induced electric field, are presented graphically. Comparison is made in the results predicted by different theories of generalized thermoelasticity, to show that the micropolar effect has a slight influence on the results while the microstretch effect has a great influence on the results. Finally, a parameter study provides an idea about the influence of the respective terms of the theories.Keywords Magneto-microstretch thermoelasticity · Thermal shock · Finite element method · Microstretch effect · Micropolar effect

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Significance of Non-Fourier Heat Waves in Conduction

Cited by 137 publications

References 0 publications

Biothermomechanical behavior of skin tissue

Biothermomechanical behavior of skin tissue

Multi-scale heat and mass transfer modelling of cell and tissue cryopreservation

Two-dimensional thermoelastic problem of an infinite magneto-microstretch homogeneous isotropic plate

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