微重力条件下膜系统中流体动力学稳定浓度边界层的数值研究。
A numerical study of the hydrodynamic stable concentration boundary layers in a membrane system under microgravitational conditions.
作者信息
Slezak Andrzej, Bryll Arkadiusz, Grzegorczyn Sławomir
机构信息
Department of Biophysics, Czestochowa University of Technology, 42200 Czestochowa, Poland.
出版信息
J Biol Phys. 2006 Dec;32(6):553-62. doi: 10.1007/s10867-007-9037-0. Epub 2007 May 8.
On the basis of the classic formula of the concentration Rayleigh number and the Kedem-Katchalsky equation for diffusive membrane transport, we derived the equations of sixteenth order which show the dependence of the thicknesses of the concentration boundary layers on the difference of the solution concentrations, the concentration Rayleigh number, the solute permeability coefficient of the membrane and the diffusion coefficients in the solution, the kinematic viscosity of the solution, the density of solutions, the temperature and gravitational acceleration. The obtained equation has numerical solutions in the first, third and fourth quadrant of a co-ordinate system. However, only two solutions from the first quadrant of the co-ordinate system have physical meaning. Confining ourselves to the set of solutions with physical meaning only, the thicknesses of concentration boundary layers for different parameters occurring in the obtained equation were calculated numerically.
基于浓度瑞利数的经典公式以及扩散膜传输的凯德姆 - 卡察尔斯基方程，我们推导了十六阶方程，这些方程表明浓度边界层厚度与溶液浓度差、浓度瑞利数、膜的溶质渗透系数、溶液中的扩散系数、溶液的运动粘度、溶液密度、温度和重力加速度之间的依赖关系。所得方程在坐标系的第一、第三和第四象限有数值解。然而，在坐标系第一象限中只有两个解具有物理意义。仅局限于具有物理意义的解集，对所得方程中出现的不同参数的浓度边界层厚度进行了数值计算。
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