Volume 6, Issue 1, June 2020, Page: 15-29
Quinn’s Law of Fluid Dynamics: Supplement #2 Reinventing the Ergun Equation
Hubert Michael Quinn, Department of Research and Development, the Wrangler Group LLC, Brighton, USA
Received: Mar. 17, 2020;       Accepted: May 13, 2020;       Published: Jun. 15, 2020
DOI: 10.11648/j.fm.20200601.12      View  97      Downloads  33
Abstract
This paper is directed at the important contribution to fluid dynamics made by Sebri Ergun. In his three papers published in 1949, 1951 and 1952, using various gases as his percolating fluid, Ergun used his empirical permeability results of packing conduits with fractured coke (irregularly shaped particles), in combination with some theoretical concepts, to generate an equation which captured the viscous and kinetic contributions to packed conduit permeability in two separate terms in that equation, resulting in his now famous “Ergun Equation”. In addition, he identified a discrete “constant” for each of the terms which we label herein the “viscous” and “kinetic” constants, respectively. We demonstrate herein, however, that the values assigned by Ergun to both his constants are not certifiable and, thus, are problematic in predicting the permeability of packed conduits. Moreover, since the publication of his 1952 paper, in which he disclosed the values of 150 and 1.75 for the viscous and kinetic constants, respectively, many scholarly works have been published which claim to validate these values. As a result, these values have become erroneously embedded in conventional folklore concerning fluid flow in closed conduits and have enjoyed widespread acceptance as being a legitimate feature of fluid dynamics dogma. With the advent recently of Quinn’s Law, a novel approach to the understanding of fluid flow in closed conduits, we are able to articulate in a manner not heretofore possible, the significance of this discrepancy in Ergun’s values of the constants, which we demonstrate is far too important to ignore.
Keywords
Viscous Constant, Kinetic Constant, Ergun Equation, Friction Factor, Transition Region, Turbulent Flow, Wall Effect, Boundary Layer
To cite this article
Hubert Michael Quinn, Quinn’s Law of Fluid Dynamics: Supplement #2 Reinventing the Ergun Equation, Fluid Mechanics. Vol. 6, No. 1, 2020, pp. 15-29. doi: 10.11648/j.fm.20200601.12
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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