Simulation of hyperbolic type bio-heat transfer problems by differential transformation method

Hsin Yi Lai; Jui Hsun Ni; Cheng Chi Chang

Simulation of hyperbolic type bio-heat transfer problems by differential transformation method

Hsin Yi Lai, Jui Hsun Ni, Cheng Chi Chang

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In the present research, the hybrid method which combines differential transformation and finite difference approximation techniques is utilized to solve hyperbolic type heat transfer problems in two-dimension. In order to comply with the real thermal behavior in a living tissue subjected to constant or exponential surface heating with the thermal wave model of bio-heat transfer, the relaxation time and the heat wave which propagates in the direction being perpendicular to the skin surface has been considered. The results show that this method not only can specifically describe the physical phenomena but demonstrate its powerful ability in simulation.

Original language	English
Title of host publication	ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages	8448-8460
Number of pages	13
Publication status	Published - 2012 Dec 1
Event	6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria Duration: 2012 Sept 10 → 2012 Sept 14

Publication series

Name	ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

Other

Other	6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Country/Territory	Austria
City	Vienna
Period	12-09-10 → 12-09-14

All Science Journal Classification (ASJC) codes

Computational Theory and Mathematics
Applied Mathematics

Cite this

Lai, H. Y., Ni, J. H., & Chang, C. C. (2012). Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers (pp. 8448-8460). (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).

Lai, Hsin Yi ; Ni, Jui Hsun ; Chang, Cheng Chi. / Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. pp. 8448-8460 (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).

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title = "Simulation of hyperbolic type bio-heat transfer problems by differential transformation method",

abstract = "In the present research, the hybrid method which combines differential transformation and finite difference approximation techniques is utilized to solve hyperbolic type heat transfer problems in two-dimension. In order to comply with the real thermal behavior in a living tissue subjected to constant or exponential surface heating with the thermal wave model of bio-heat transfer, the relaxation time and the heat wave which propagates in the direction being perpendicular to the skin surface has been considered. The results show that this method not only can specifically describe the physical phenomena but demonstrate its powerful ability in simulation.",

author = "Lai, {Hsin Yi} and Ni, {Jui Hsun} and Chang, {Cheng Chi}",

year = "2012",

month = dec,

day = "1",

language = "English",

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series = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",

pages = "8448--8460",

booktitle = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",

note = "6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 ; Conference date: 10-09-2012 Through 14-09-2012",

}

Lai, HY, Ni, JH & Chang, CC 2012, Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. in ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers, pp. 8448-8460, 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012, Vienna, Austria, 12-09-10.

Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. / Lai, Hsin Yi; Ni, Jui Hsun; Chang, Cheng Chi.
ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 8448-8460 (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Lai, Hsin Yi

AU - Ni, Jui Hsun

AU - Chang, Cheng Chi

PY - 2012/12/1

Y1 - 2012/12/1

N2 - In the present research, the hybrid method which combines differential transformation and finite difference approximation techniques is utilized to solve hyperbolic type heat transfer problems in two-dimension. In order to comply with the real thermal behavior in a living tissue subjected to constant or exponential surface heating with the thermal wave model of bio-heat transfer, the relaxation time and the heat wave which propagates in the direction being perpendicular to the skin surface has been considered. The results show that this method not only can specifically describe the physical phenomena but demonstrate its powerful ability in simulation.

AB - In the present research, the hybrid method which combines differential transformation and finite difference approximation techniques is utilized to solve hyperbolic type heat transfer problems in two-dimension. In order to comply with the real thermal behavior in a living tissue subjected to constant or exponential surface heating with the thermal wave model of bio-heat transfer, the relaxation time and the heat wave which propagates in the direction being perpendicular to the skin surface has been considered. The results show that this method not only can specifically describe the physical phenomena but demonstrate its powerful ability in simulation.

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T2 - 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012

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ER -

Lai HY, Ni JH, Chang CC. Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 8448-8460. (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).

Simulation of hyperbolic type bio-heat transfer problems by differential transformation method

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