Diffusion to flow down an incline with surface resistance

✍ Scribed by Abraham Tamir; Yehuda Taitel

• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 621 KB
• Volume: 26
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(71)83041-5

✦ Synopsis

A solution of the ditfusion 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.