Solution of moving boundary problems for gas—solid noncatalytic reactions by orthogonal collocation—revisited

✍ Scribed by M.P. Duduković; Y.B. Yang

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 527 KB
• Volume: 45
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(90)80229-8

✦ Synopsis

The validity of the method introduced by Dudukovi6 and Lamba (1978) for treatment of gas-solid reactions with a moving boundary is confirmed.

ZNTRODUCTlON

The purpose of this paper is to clarify the possible misunderstanding resulting from the paper of Xu and Hoffmann (1989). In that paper (we will refer to it as the XH paper), the authors claimed that: (i) they had formulated a new method for solution of gas-solid noncatalytic reactions tiith a moving boundary; (ii) the method of DudukoviC: and Lamba (197Q referred to as the DL method, was fundamentally wrong; and (iii) the DL method could not have produced the results reported in the DL paper. We present here conclusive evidence that none of these points is correct. The notation follows that of the previous works.

EQUIVALENCE OF THE DL AND XH METHODS

Regarding

the XH claim of originality, a patient reader can discover that the XH method is a replica and extension of the DL method. The DL method used an integral transformation for the point (dimensionless) cumulative gas concentration Y given by s 9 Y(5, 0) = ~(5, 0) de. (DL-9) 0