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Exploring a non‐dimensional varying exponent equation relating minimum spouting velocity to maximum spoutable bed depth
Author(s) -
Du Wei,
Bi Xiaotao,
Epstein Norman
Publication year - 2009
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.20146
Subject(s) - conical surface , base (topology) , exponent , geometry , function (biology) , mathematics , physics , mathematical analysis , analytical chemistry (journal) , chemistry , chromatography , philosophy , linguistics , evolutionary biology , biology
Abstract The equation $U_{{\rm ms}} /U_{{\rm mf}} = (H/H_{\rm m} )^{1 - (0.5\,H/H_{\rm m} )}$ was critically examined for spouting both in small conical‐cylindrical columns ( D c < 0.5 m) and large cone‐base or flat‐bottom cylindrical columns ( D c ≥ 0.5 m). For small columns, a data base of 36 points with experimental measurements of both H m and U m (= U ms at H = H m ) afforded some insights into the components of this equation and to the merits of the equation itself. For large columns, in the absence of verifiable methods of predicting H m , correlation of U ms / U mf as a function of H / H m , using the available experimental data on U ms , has not been achieved.