生物传热
拉普拉斯变换
粘弹性
流变学
傅里叶变换
分数阶微积分
材料科学
固体力学
生物组织
传热
机械
数学
生物医学工程
数学分析
物理
复合材料
医学
作者
Magdy A. Ezzat,R. W. Lewis
出处
期刊:International Journal of Numerical Methods for Heat & Fluid Flow
[Emerald (MCB UP)]
日期:2021-08-12
卷期号:32 (6): 1944-1960
被引量:6
标识
DOI:10.1108/hff-03-2021-0201
摘要
Purpose The system of equations for fractional thermo-viscoelasticity is used to investigate two-dimensional bioheat transfer and heat-induced mechanical response in human skin tissue with rheological properties. Design/methodology/approach Laplace and Fourier’s transformations are used. The resulting formulation is applied to human skin tissue subjected to regional hyperthermia therapy for cancer treatment. The inversion process for Fourier and Laplace transforms is carried out using a numerical method based on Fourier series expansions. Findings Comparisons are made with the results anticipated through the coupled and generalized theories. The influences of volume materials properties and fractional order parameters for all the regarded fields are examined. The results indicate that volume relaxation parameters, as well as fractional order parameters, play a major role in all considered distributions. Originality/value Bio-thermo-mechanics includes bioheat transfer, biomechanics, burn injury and physiology. In clinical applications, knowledge of bio-thermo-mechanics in living tissues is very important. One can infer from the numerical results that, with a finite distance, the thermo-mechanical waves spread to skin tissue, removing the unrealistic predictions of the Pennes’ model.
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