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John Crank's The Mathematics of Diffusion PDF

By John Crank

ISBN-10: 0198533446

ISBN-13: 9780198533443

Even though it contains a lot new fabric, this re-creation preserves the final personality of the e-book in supplying a suite of strategies of the equations of diffusion and describing how those strategies could be bought.

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217). 5. Diffusion from a stirred solution of limited volume If a plane sheet is suspended in a volume of solution so large that the amount of solute taken up by the sheet is a negligible fraction of the whole, and the solution is well stirred, then the concentration in the solution remains constant. If, however, there is only a limited volume of solution, the concentration of solute in the solution falls as solute enters the sheet. If the solution is well stirred the concentration in the solution depends only on time, and is determined essentially by the condition that the total amount of solute in the solution and in the sheet remains constant as diffusion proceeds.

217). 5. Diffusion from a stirred solution of limited volume If a plane sheet is suspended in a volume of solution so large that the amount of solute taken up by the sheet is a negligible fraction of the whole, and the solution is well stirred, then the concentration in the solution remains constant. If, however, there is only a limited volume of solution, the concentration of solute in the solution falls as solute enters the sheet. If the solution is well stirred the concentration in the solution depends only on time, and is determined essentially by the condition that the total amount of solute in the solution and in the sheet remains constant as diffusion proceeds.

3(i). Still keeping Co = C2 = 0, we find the rate of 52 DIFFUSION IN A PLANE SHEET 00 01 0-2 0-3 0-4 0-5 0-6 FIG. 2. Approach to steady-state flow through a plane sheet. 27) This series converges most rapidly for small t. Rogers et al. 27a) From the slope and intercept of this line experimental data yield D and Cl9 and hence solubility. 26). 2 (pp. 216 and 224). Jenkins, Nelson, and Spirer (1970) examined the more general problems of deducing both the diffusion coefficient and the solubility coefficient from experimental data and mathematical solutions when the outflow volume is finite so that the concentration varies with time at the outgoing face.

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The Mathematics of Diffusion by John Crank


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