本研究考慮顆粒表面濃度階梯式變化所導致的吸附現象中質傳係數和吸附時間之關係而推導出一系列之線性近似式。其中使用三項展開之近似和準確解十分吻合,其最大相對誤差小於0.58%。就準確度和簡單性而言,本研究所推導出之近似式優於其他文獻中所發表之相關公式。
A sequence of linear approximations is presented for the description of intraparticle adsorption of a spherical sorbent particle subject to a step change in the surface concentration. The approximations were developed by considering the dependence of mass transfer coefficient on adsorption time. Excellent agreement between the present approximation (n = 3) and the exact solution was found and relative errors are less than 0.58 %. In terms of simplicity and accuracy, the present approximations are superior to other previously available ones reported in the literatures.