- 作者: Hwang, Kuo-Jen; Lu, Wei-Ming
- 中文摘要: 本研究提出了一個以力平衡為基礎的簡單模型,藉以估計次微米粒子在濾餅過濾中的濾餅表面孔隙度。並討論影響粒子堆積的主要因素,例如:濾速、粒徑、粒子的表面電位、以及電解質濃度等。當流體拉曳力和粒子間之淨作用力相等時,濾餅會堆積得最緊密。在小的濾速下,一定粒徑之次微米粒子在同一表面電位下,濾餅之孔隙度會隨著濾速之增加而減小; 但在大濾速的範圍下,孔隙度則會隨著濾速之增加而變大。在低表面電位下,粒子的孔隙度會隨著粒徑的增大而增大,隨電解質濃度的增加而降低。然而,在表面電位高於臨界值後,則趨勢會相反。本研究的結果和布朗動態模擬的數值非常接近,但只需要很短的計算時間。
- 英文摘要: A force balance model for estimating the surface porosity of cake in cake filtrations of submicron particles is proposed. The major factors affecting particle packing, such as filtration rate, particle size, zeta potential of particles, and electrolyte concentration, are discussed. A most compact cake is constructed when the drag force is equal to the net interparticle force. For a given size of particles with a given surface potential, the value of surface porosity decreases in a small filtration rate region but increases with filtration rate in a large filtration rate region. For particles with a low zeta potential, the surface porosity increases with the increase of particle size and the decrease of electrolyte concentration. However, this tendency will be reversed if the particles have a zeta potential higher than the critical value. The results estimated by this study are very close to those obtained by the Brownian dynamic simulation, but minimal calculation times was required.
- 中文關鍵字: 次微米粒子; 表面; 孔隙度; 濾餅; 過濾
- 英文關鍵字: Submicron Particle; Surface; Porosity; Cake; Filtration