Diffusion to flow down an incline with surface resistance

Abraham Tamir; Yehuda Taitel

doi:10.1016/0009-2509(71)83041-5

Diffusion to flow down an incline with surface resistance

Abraham Tamir, Yehuda Taitel

Department of Chemical Engineering

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

A solution of the diffusion equation with a constant surface resistance, so far being neglected, is presented for a flow down an incline. An exact solution is obtained in terms of the eigenfunctions for which ten eigenvalues are tabulated. In addition, an approximate solution based on the integral method is obtained and found to be in excellent agreement with the exact solution (7 per cent maximum discrepancy). Also previously published simplified solutions to this problem are checked and their error is evaluated.

Original language	English
Pages (from-to)	799-808
Number of pages	10
Journal	Chemical Engineering Science
Volume	26
Issue number	6
DOIs	https://doi.org/10.1016/0009-2509(71)83041-5
State	Published - 1 Jan 1971

ASJC Scopus subject areas

General Chemistry
General Chemical Engineering
Industrial and Manufacturing Engineering

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10.1016/0009-2509(71)83041-5

Cite this

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abstract = "A solution of the diffusion equation with a constant surface resistance, so far being neglected, is presented for a flow down an incline. An exact solution is obtained in terms of the eigenfunctions for which ten eigenvalues are tabulated. In addition, an approximate solution based on the integral method is obtained and found to be in excellent agreement with the exact solution (7 per cent maximum discrepancy). Also previously published simplified solutions to this problem are checked and their error is evaluated.",

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AB - A solution of the diffusion equation with a constant surface resistance, so far being neglected, is presented for a flow down an incline. An exact solution is obtained in terms of the eigenfunctions for which ten eigenvalues are tabulated. In addition, an approximate solution based on the integral method is obtained and found to be in excellent agreement with the exact solution (7 per cent maximum discrepancy). Also previously published simplified solutions to this problem are checked and their error is evaluated.

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Diffusion to flow down an incline with surface resistance

Abstract

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