Quinn’s Law of Fluid Dynamics: Supplement #1 Nikuradze’s Inflection Profile Revisited
Issue:
Volume 6, Issue 1, June 2020
Pages:
1-14
Received:
30 January 2020
Accepted:
11 February 2020
Published:
18 February 2020
Abstract: This paper is directed at the important contribution to fluid dynamics made by Johan Nikuradze. His seminal paper published in 1933 represents the gold standard of empty conduit permeability, for the flow of water through roughened pipes, even to this very day. We revisit in some detail the “inflection profile” in Nikuradze’s plot, which appears in the curve for his roughened data found in Figure 9 in that publication. In so doing, we show that the data points at low Reynolds number values, and particularly those surrounding the value of 3.4 approximately on the x-axis of his plot, do not represent the reported experimental results found in his tables of data. Furthermore, we also demonstrate that this discrepancy in his original paper is very problematic because it forms the basis for many subsequent scholarly works. As a result, this inflection profile has become erroneously embedded in conventional folklore concerning fluid flow in closed conduits and has 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 which is far too important to ignore.
Abstract: This paper is directed at the important contribution to fluid dynamics made by Johan Nikuradze. His seminal paper published in 1933 represents the gold standard of empty conduit permeability, for the flow of water through roughened pipes, even to this very day. We revisit in some detail the “inflection profile” in Nikuradze’s plot, which appears in...
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Quinn’s Law of Fluid Dynamics: Supplement #2 Reinventing the Ergun Equation
Issue:
Volume 6, Issue 1, June 2020
Pages:
15-29
Received:
17 March 2020
Accepted:
13 May 2020
Published:
15 June 2020
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.
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 con...
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