%0 Journal Article %T An approximate analytical solution to the ultra-filtration profile in a hemodialysis process between parallel porous plates %A JunFeng Lu %A WenQiang Lu %J Chinese Science Bulletin %@ 1861-9541 %D 2008 %I %R 10.1007/s11434-008-0472-5 %X In a hemodialysis process, the blood that runs through straight channels exchanges substances with the dialysate through a semi-permeable membrane. The waste products, such as urea and creatinine, are therefore removed from the plasma by the membrane. In the analysis of this process, determination of the ultra-filtration profile along the porous membrane surface remains a difficult problem. In this work, an analytical solution to the derivation of such a profile was detailed, and the feasibility of this solution was discussed. The ultra-filtration profile was found to be in a cosine shape. %K analytical solution for ultra-filtration profile %K porous plate channels %K hemodialysis %U http://link.springer.com/article/10.1007/s11434-008-0472-5