@article{oai:kansai-u.repo.nii.ac.jp:00011102, author = {O-tani, Hideyuki and Akinaga, Takeshi and Sugihara-seki, Masako}, issue = {6}, journal = {Fluid Dynamics Research}, month = {}, note = {Diffusion and convection of solute suspended in a fluid across porous membranes are known to be reduced compared in bulk solution, due to the fluid mechanical interaction between the solute and the pore wall as well as steric restriction. If the solute and the pore wall are electrically charged, the electrostatic interaction between them could affect the hindrance to diffusion and convection. In the present study, the transport of charged spherical solutes through charged circular cylindrical pores filled with an electrolyte solution containing small ions was studied numerically, by using a fluid mechanical and electrostatic model. Based on a mean field theory, the electrostatic interaction energy between the solute and the pore wall was estimated from the Poisson-Boltzmann equation, and the charge effect on the solute transport was examined for the solute and pore wall of like charge. The results were compared with those obtained from the linearized form of the Poisson-Boltzmann equation, i.e. the Debye-H¨uckel equation.}, pages = {1--17}, title = {Charge effect on hindrance factors for diffusion and convection of solute in pores II (Post-Print version)}, volume = {44}, year = {2012} }