A CONTRIBUTION TO EVALUATION METHOD OF DIFFUTION COEFFICIENT

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Other Title
  • 拡散係数の算出法についてのーつの試み

Description

In order to estimate the diffusion coefficient Dc depending on the concentration, the graphical method proposed by Matano1) has been widely used, but the accuracy is not always satisfactory.<br>In this paper, a method is presented to evaluate Dc more accurately using an empirical formula (a) and equation (b).<br>The procedure to calculate Dc from concentration distributions is as follows:<br>1. Approximate values of β, γ and C0 in formula (a) are caldulated using concentration distributions.<br>2. Most probable values of β, γ and C0 are determined by a least squares method using the approximate values of β, γ and C0 obtained in procedure 1. and concentration distributions. And then the empirical formula (a) is determined.<br>3. Differential and integral numericals of formula (a) are calculated.<br>4. Dc's are calculated by substituting the differentials and integrals obtained in procedure 3. into equation (b).<br>The application of this method to some theoretical Fickian, non-Fickian distributions and some experimental distributions shows that Dc calculated by this method are more accurate compared to that obtained by the graphical method.

Journal

  • Sen'i Gakkaishi

    Sen'i Gakkaishi 28 (9), 353-358, 1972

    The Society of Fiber Science and Technology, Japan

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