Finite element methods for non-fourier thermal wave model of bio heat transfer with an interface

2019 ◽  
Vol 62 (1-2) ◽  
pp. 701-724 ◽  
Author(s):  
Bhupen Deka ◽  
Jogen Dutta
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Finite Element Methods ◽  
Thermal Wave ◽  
Wave Model

scholarly journals Reconstruction of the thermal properties in a wave-type model of bio-heat transfer

2020 ◽  
Vol 30 (12) ◽  
pp. 5143-5167
Author(s):  
Moataz Alosaimi ◽  
Daniel Lesnic ◽  
Jitse Niesen
Keyword(s):  
Heat Transfer ◽  
Physical Properties ◽  
Thermal Wave ◽  
Wave Model ◽  
Temperature Measurements ◽  
Dimensionless Parameters ◽  
Content Type ◽  
Boundary Temperature ◽  
Dimensional Parameters ◽  
Thermo Physical Properties

Purpose This study aims to at numerically retrieve five constant dimensional thermo-physical properties of a biological tissue from dimensionless boundary temperature measurements. Design/methodology/approach The thermal-wave model of bio-heat transfer is used as an appropriate model because of its realism in situations in which the heat flux is extremely high or low and imposed over a short duration of time. For the numerical discretization, an unconditionally stable finite difference scheme used as a direct solver is developed. The sensitivity coefficients of the dimensionless boundary temperature measurements with respect to five constant dimensionless parameters appearing in a non-dimensionalised version of the governing hyperbolic model are computed. The retrieval of those dimensionless parameters, from both exact and noisy measurements, is successfully achieved by using a minimization procedure based on the MATLAB optimization toolbox routine lsqnonlin. The values of the five-dimensional parameters are recovered by inverting a nonlinear system of algebraic equations connecting those parameters to the dimensionless parameters whose values have already been recovered. Findings Accurate and stable numerical solutions for the unknown thermo-physical properties of a biological tissue from dimensionless boundary temperature measurements are obtained using the proposed numerical procedure. Research limitations/implications The current investigation is limited to the retrieval of constant physical properties, but future work will investigate the reconstruction of the space-dependent blood perfusion coefficient. Practical implications As noise inherently present in practical measurements is inverted, the paper is of practical significance and models a real-world situation. Social implications The findings of the present paper are of considerable significance and interest to practitioners in the biomedical engineering and medical physics sectors. Originality/value In comparison to Alkhwaji et al. (2012), the novelty and contribution of this work are as follows: considering the more general and realistic thermal-wave model of bio-heat transfer, accounting for a relaxation time; allowing for the tissue to have a finite size; and reconstructing five thermally significant dimensional parameters.

Finite Element Methods for Heat Transfer Problems.

1980 ◽  
Author(s):  
F. Bisshopp ◽  
R. B. Caswell ◽  
M. E. Michaud
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Finite Element Methods ◽  
Transfer Problems

Ramp Wave Analysis of the Solid/Vapor Heat Pump

1990 ◽  
Vol 112 (1) ◽  
pp. 69-78 ◽  
Author(s):  
S. V. Shelton ◽  
W. J. Wepfer ◽  
D. J. Miles
Keyword(s):  
Heat Transfer ◽  
Heat Pump ◽  
Thermal Wave ◽  
Wave Model ◽  
Heat Transfer Fluid ◽  
Cycle Performance ◽  
Pump System ◽  
Square Wave ◽  
Vapor Adsorption ◽  
Heating And Cooling

A theramlly driven heat pump using a solid/vapor adsorption/desorption compression process in a vapor compression cycle is thermodynamically analyzed. The cycle utilizes a simple heat transfer fluid circulating loop for heating and cooling of two solid adsorbent beds. This heat transfer fluid loop also serves to transmit heat recovered from the adsorbing bed being cooled to the desorbing bed being heated. This heat recovery process greatly improves the efficiency of the single-stage solid/vapor adsorption process without the complication of a two-stage cycle. During the heating and cooling processes a thermal wave profile travels through the beds. Previous studies of this cycle used a square wave model to simulate the thermal wave front. This paper utilizes a more physically realistic ramp wave model to overcome the shortcomings of the square wave model. The ramp wave model is integrated into a thermodynamic cycle which provides detailed information on the performance of the beds as well as the COP and the heating and cooling outputs of the heat pump system. Significant cycle design and operating parameters are varied to determine their effect on cycle performance.

Comparison of some finite element methods for solving 3D heat transfer problems

2004 ◽  
Vol 13 (5-7) ◽  
pp. 679-690
Author(s):  
Céline Pelissou ◽  
Elisabeth Massoni ◽  
Jean-Loup Chenot
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Finite Element Methods ◽  
Transfer Problems

Heat analysis of biological tissue exposed to microwave by using thermal wave model of bio-heat transfer (TWMBT)

Burns ◽  
2008 ◽  
Vol 34 (1) ◽  
pp. 45-49 ◽  
Author(s):  
Şükrü Özen ◽  
Selçuk Helhel ◽  
Osman Çerezci
Keyword(s):  
Heat Transfer ◽  
Thermal Wave ◽  
Biological Tissue ◽  
Wave Model

Analysis of Non-Fourier Thermal Behavior in Layered Tissue with Pulse Train Heating

2013 ◽  
Vol 479-480 ◽  
pp. 496-500
Author(s):  
Kuo Chi Liu ◽  
Cheng Chi Wang ◽  
Po Jen Cheng
Keyword(s):  
Heat Transfer ◽  
Thermal Behavior ◽  
Thermal Wave ◽  
Wave Model ◽  
Phase Lag ◽  
Dual Phase ◽  
Order Partial Differential Equation ◽  
Transfer Equations ◽  
Lag Model ◽  
Pennes Model

This paper investigates the thermal behavior in laser-irradiated layered tissue, which was stratified into skin, fat, and muscle. A modified nonFourier equation of bio-heat transfer was developed based on the second-order Taylor expansion of dual-phase lag model. This equation is a fourth order partial differential equation and can be simplified as the bio-heat transfer equations derived from Pennes model, thermal wave model, and the linearized form of dual-phase lag model. The boundary conditions at the interface between two adjacent layers become complicated. There are mathematical difficulties in dealing with such a problem. A hybrid numerical scheme is extended to solve the present problem. The deviations of the results from the bio-heat transfer equations based on Pennes model, thermal wave model and dual-phase lag model are presented and discussed.

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