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Numerical analysis of an equivalent heat transfer coefficient in a porous model for simulating a biological tissue in a hyperthermia therapy
Authors:Ping Yuan
Affiliation:1. Dipartimento di Ingegneria Industriale, Università degli Studi di Napoli Federico II, P.le Tecchio, 80, Napoli, 80125, Italy;2. Department of Mechanical Engineering, University of Connecticut, 191 Auditorium Road, Storrs, CT, 06269, USA;1. Department of Mechanical Engineering, Faculty of Engineering, Mahidol University, 25/25 Phutthamomthon 4 Rd., Salaya, Nakhon Pathom 73170, Thailand;2. Department of Mechanical Engineering, Faculty of Engineering, Thammasat University (Rangsit Campus), 99 moo 18, Khlong Luang, Pathum Thani 12120, Thailand;1. KunShan University, Tainan, 710-03, Taiwan, Republic of China;2. Guangzhou College of South China University of Technology, People’s Republic of China;1. Young Researchers and Elite Club, Mahabad Branch, Islamic Azad University, Mahabad, Iran;2. Department of Mechanical Engineering, Bu-Ali Sina University, Hamadan, Iran;3. Department of Chemistry, Mahabad Branch, Islamic Azad University, Mahabad, Iran
Abstract:An equivalent heat transfer coefficient between tissue and blood in a porous model is investigated, which is applied to the thermal analysis of a biological tissue in a hyperthermia therapy. This paper applies a finite difference method to solving the tissue temperature distribution using Pennes’ bio-heat transfer equation and a two-equation porous model, respectively, and then employs a conjugate gradient method to estimate the equivalent heat transfer coefficient in the two-equation porous model with a known perfusion rate in Pennes’ bio-heat transfer equation. The results indicate that the equivalent heat transfer coefficient is not a strong function of the perfusion rate, blood velocity and heating conditions, but is inversely related to the blood vessel diameter.
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