Abstract
In terms of the steady Stokes approximation, we consider flow fields around a circular pore of a flat and incompressible fluid-membrane, which is surrounded by a three-dimensional fluid. Pore size changes because of the line tension of the pore perimeter and the in-plane stress of the membrane. The pressure difference across the membrane causes a three-dimensional flow through the pore. The dependence of its volumetric flow rate on the difference between the pressure far from the membrane on its one side and that on the other side is found to be the same as obtained previously for a pore of a solid plate. We derive a differential equation for the time evolution of pore size, considering the viscosity of the surrounding fluid.
| Original language | English |
|---|---|
| Article number | 084402 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 78 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2009 Aug |
Fingerprint
Keywords
- Electroporation
- Hankel transformation
- Lipid-bilayer membrane
- Mixed-boundary value problem
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Flow around a circular pore of a flat and incompressible fluid-membrane. / Fujitani, Youhei.
In: Journal of the Physical Society of Japan, Vol. 78, No. 8, 084402, 08.2009.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Flow around a circular pore of a flat and incompressible fluid-membrane
AU - Fujitani, Youhei
PY - 2009/8
Y1 - 2009/8
N2 - In terms of the steady Stokes approximation, we consider flow fields around a circular pore of a flat and incompressible fluid-membrane, which is surrounded by a three-dimensional fluid. Pore size changes because of the line tension of the pore perimeter and the in-plane stress of the membrane. The pressure difference across the membrane causes a three-dimensional flow through the pore. The dependence of its volumetric flow rate on the difference between the pressure far from the membrane on its one side and that on the other side is found to be the same as obtained previously for a pore of a solid plate. We derive a differential equation for the time evolution of pore size, considering the viscosity of the surrounding fluid.
AB - In terms of the steady Stokes approximation, we consider flow fields around a circular pore of a flat and incompressible fluid-membrane, which is surrounded by a three-dimensional fluid. Pore size changes because of the line tension of the pore perimeter and the in-plane stress of the membrane. The pressure difference across the membrane causes a three-dimensional flow through the pore. The dependence of its volumetric flow rate on the difference between the pressure far from the membrane on its one side and that on the other side is found to be the same as obtained previously for a pore of a solid plate. We derive a differential equation for the time evolution of pore size, considering the viscosity of the surrounding fluid.
KW - Electroporation
KW - Hankel transformation
KW - Lipid-bilayer membrane
KW - Mixed-boundary value problem
UR - http://www.scopus.com/inward/record.url?scp=69149110439&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=69149110439&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.78.084402
DO - 10.1143/JPSJ.78.084402
M3 - Article
AN - SCOPUS:69149110439
VL - 78
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 8
M1 - 084402
ER -