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Numerical Analysis for the Conjugate Heat Transfer of Skin Under Various Temperature Conditions of Contrast Therapy

냉온 자극의 다양한 온도경계조건들에 대한 피부 내 온도 분포의 수치해석

  • Park, Da Ae (Dept. of Mechanical and Automotive Engineering, Seoul Nat’l Univ. of Science and Technology) ;
  • Oh, Han Nah (Dept. of Mechanical and Automotive Engineering, Seoul Nat’l Univ. of Science and Technology) ;
  • Jeon, Byoung Jin (Integrative Cardiovascular Imaging Research Center, Yonsei Cardiovascular Center, College of Medicine, Yonsei Univ.) ;
  • Kim, Eun Jeong (Dept. of Acupuncture and Moxibustion, College of Oriental Medicine, Dong Guk Univ.) ;
  • Lee, Seung Deok (Dept. of Acupuncture and Moxibustion, College of Oriental Medicine, Dong Guk Univ.) ;
  • Choi, Hyoung Gwon (Dept. of Mechanical and Automotive Engineering, Seoul Nat’l Univ. of Science and Technology)
  • 박다애 (서울과학기술대학교 기계자동차공학과) ;
  • 오한나 (서울과학기술대학교 기계자동차공학과) ;
  • 전병진 (연세대학교 의과대학 심장융합영상연구센터) ;
  • 김은정 (동국대학교 한의과대학 침구학교실) ;
  • 이승덕 (동국대학교 한의과대학 침구학교실) ;
  • 최형권 (서울과학기술대학교 기계자동차공학과)
  • Received : 2015.07.09
  • Accepted : 2015.08.29
  • Published : 2015.11.01

Abstract

In this paper, the contrast therapy of skin was numerically investigated by solving the conjugate heat transfer problem. A finite volume method based on the SIMPLE algorithm was adopted to solve the axisymmetric incompressible Navier-Stokes equations, coupled with an energy equation. These equations are strongly coupled with the Pennes bio-heat equation in order to consider the effect of blood perfusion rate. We investigated the thermal response of skin at some selected depths for various input temperature profiles of a stimulator for contrast therapy. From the numerical simulations, the regions with cold/hot threshold temperatures were found for five input temperature profiles. It was shown that the temperature varies mildly for different input profiles as the depth increases, owing to the Pennes effect. The input temperatures for effective hot/cold stimulation of dermis layer were found to be $47^{\circ}C$ and $7^{\circ}C$, respectively. The present numerical results will be used for finding an optimal temperature profile of a stimulator for contrast therapy.

본 연구에서는 냉온 자극요법의 열전달 특성을 정량적으로 파악하고자 한다. 축대칭 비압축성 Navier-Stokes 방정식 및 에너지 방정식의 해법을 위해 SIMPLE 알고리즘에 기반을 둔 유한체적법을 사용하였다. 혈액의 관류를 고려하기 위해 Pennes bio-heat 방정식을 추가로 적용하였다. 다양한 온도조건에 따른 피부 아래 각 지점에서의 열 침투양상을 분석하였다. 수치해석을 통하여 다양한 입력온도들에 대하여 역치 온도에 도달하는 영역들을 발견하였다. 또한, 페니스 효과로 인하여 피부 심부로 갈수록 외부 자극에 대한 온도변화가 완만함을 확인하였으며, 진피부분의 온도가 역치에 도달하기 위해서는 온 자극 및 냉 자극은 47도 및 7도 내외로 주어져야 함을 발견하였다. 본 논문의 수치해석을 통해 구축된 데이터베이스는 경혈 냉온 자극 치료기의 최적설계 시에 활용된다.

Keywords

References

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