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논문 기본 정보
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- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.13 No.2
- 발행연도
- 2009.6
- 수록면
- 123 - 140 (18page)
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초록· 키워드
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The effect of a solute concentration difference on the osmotic transport of water through the semi-permeable membrane of a simple cell model is investigated. So far, most studies on osmotic phenomena are described by simple diffusion-type equations ignoring all fluid motion or described by Stokes flow. In our work, as the governing equations, we consider the coupled full Navier-Stokes equations which describe the fluid motion and the full transport equation that takes into account of convection and diffusion effects. A two dimensional finite difference model has been developed to simulate the velocity field, concentration field, and semi-permeable membrane movement. It is shown that the cell swells to regions of lower solute concentration due to the uneven water flux through the semi-permeable membrane. The simulation is applied on a red blood cell geometry and the relevant results are presented.
목차
ABSTRACT
1. INTRODUCTION
2. MATHEMATICAL MODELING
3. ALGORITHM
4. NUMERICAL RESULTS
5. CONCLUSIONS
ACKNOWLEDGEMENT
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2009-410-018463726