Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits

Hubert Michael Quinn

doi:doi:10.11648/j.fm.20200602.11

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Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits

Hubert Michael Quinn

Published in Fluid Mechanics (Volume 6, Issue 2)

Received: 22 July 2020 Accepted: 5 August 2020 Published: 25 August 2020

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Abstract

The recent publication of Quinn’s Law of Fluid Dynamics brings into focus longstanding contradictions regarding permeability in closed conduits that have littered the fluid dynamics landscape for more than 150 years. In this paper, we will use this new level of understanding to explain these contradictions, in layman’s terms, and resolve them, by introducing for the first time, as far as we know, a unique solution to the Navier-Stokes equation for fluid flow in closed conduits, which is understandable by knowledgeable physicists, engineers, chromatographers and aerospace enthusiasts alike, but who may not necessarily be versed in the abstract jargon of a graduate in advanced mathematics. In addition, we will apply our unique solution to chosen illustrative worked examples, as well as those of third parties from the published literature. In so doing, we will demonstrate the utility of our solution, not only, to packed conduits containing particles having solid skeletons, but also, to empty conduits, which in the context of this new understanding of fluid dynamics in closed conduits, represents a special case of a packed conduit in which the particles are fully porous, i.e., they are made entirely of free space.

Published in	Fluid Mechanics (Volume 6, Issue 2)
DOI	10.11648/j.fm.20200602.11
Page(s)	30-50
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Forchheimer Coefficients, Conduit Permeability, Continuity Equation, Porosity, Tortuosity, Packed Conduits

References

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Hubert Michael Quinn. (2020). Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits. Fluid Mechanics, 6(2), 30-50. https://doi.org/10.11648/j.fm.20200602.11

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Hubert Michael Quinn. Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits. Fluid Mech. 2020, 6(2), 30-50. doi: 10.11648/j.fm.20200602.11

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AMA Style

Hubert Michael Quinn. Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits. Fluid Mech. 2020;6(2):30-50. doi: 10.11648/j.fm.20200602.11

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@article{10.11648/j.fm.20200602.11,
  author = {Hubert Michael Quinn},
  title = {Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits},
  journal = {Fluid Mechanics},
  volume = {6},
  number = {2},
  pages = {30-50},
  doi = {10.11648/j.fm.20200602.11},
  url = {https://doi.org/10.11648/j.fm.20200602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20200602.11},
  abstract = {The recent publication of Quinn’s Law of Fluid Dynamics brings into focus longstanding contradictions regarding permeability in closed conduits that have littered the fluid dynamics landscape for more than 150 years. In this paper, we will use this new level of understanding to explain these contradictions, in layman’s terms, and resolve them, by introducing for the first time, as far as we know, a unique solution to the Navier-Stokes equation for fluid flow in closed conduits, which is understandable by knowledgeable physicists, engineers, chromatographers and aerospace enthusiasts alike, but who may not necessarily be versed in the abstract jargon of a graduate in advanced mathematics. In addition, we will apply our unique solution to chosen illustrative worked examples, as well as those of third parties from the published literature. In so doing, we will demonstrate the utility of our solution, not only, to packed conduits containing particles having solid skeletons, but also, to empty conduits, which in the context of this new understanding of fluid dynamics in closed conduits, represents a special case of a packed conduit in which the particles are fully porous, i.e., they are made entirely of free space.},
 year = {2020}
}

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TY  - JOUR
T1  - Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits
AU  - Hubert Michael Quinn
Y1  - 2020/08/25
PY  - 2020
N1  - https://doi.org/10.11648/j.fm.20200602.11
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T2  - Fluid Mechanics
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AB  - The recent publication of Quinn’s Law of Fluid Dynamics brings into focus longstanding contradictions regarding permeability in closed conduits that have littered the fluid dynamics landscape for more than 150 years. In this paper, we will use this new level of understanding to explain these contradictions, in layman’s terms, and resolve them, by introducing for the first time, as far as we know, a unique solution to the Navier-Stokes equation for fluid flow in closed conduits, which is understandable by knowledgeable physicists, engineers, chromatographers and aerospace enthusiasts alike, but who may not necessarily be versed in the abstract jargon of a graduate in advanced mathematics. In addition, we will apply our unique solution to chosen illustrative worked examples, as well as those of third parties from the published literature. In so doing, we will demonstrate the utility of our solution, not only, to packed conduits containing particles having solid skeletons, but also, to empty conduits, which in the context of this new understanding of fluid dynamics in closed conduits, represents a special case of a packed conduit in which the particles are fully porous, i.e., they are made entirely of free space.
VL  - 6
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Author Information

Hubert Michael Quinn

Department of Research and Development, the Wrangler Group LLC, Brighton, USA

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Hubert Michael Quinn. (2020). Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits. Fluid Mechanics, 6(2), 30-50. https://doi.org/10.11648/j.fm.20200602.11

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Hubert Michael Quinn. Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits. Fluid Mech. 2020, 6(2), 30-50. doi: 10.11648/j.fm.20200602.11

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AMA Style

Hubert Michael Quinn. Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits. Fluid Mech. 2020;6(2):30-50. doi: 10.11648/j.fm.20200602.11

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@article{10.11648/j.fm.20200602.11,
  author = {Hubert Michael Quinn},
  title = {Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits},
  journal = {Fluid Mechanics},
  volume = {6},
  number = {2},
  pages = {30-50},
  doi = {10.11648/j.fm.20200602.11},
  url = {https://doi.org/10.11648/j.fm.20200602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20200602.11},
  abstract = {The recent publication of Quinn’s Law of Fluid Dynamics brings into focus longstanding contradictions regarding permeability in closed conduits that have littered the fluid dynamics landscape for more than 150 years. In this paper, we will use this new level of understanding to explain these contradictions, in layman’s terms, and resolve them, by introducing for the first time, as far as we know, a unique solution to the Navier-Stokes equation for fluid flow in closed conduits, which is understandable by knowledgeable physicists, engineers, chromatographers and aerospace enthusiasts alike, but who may not necessarily be versed in the abstract jargon of a graduate in advanced mathematics. In addition, we will apply our unique solution to chosen illustrative worked examples, as well as those of third parties from the published literature. In so doing, we will demonstrate the utility of our solution, not only, to packed conduits containing particles having solid skeletons, but also, to empty conduits, which in the context of this new understanding of fluid dynamics in closed conduits, represents a special case of a packed conduit in which the particles are fully porous, i.e., they are made entirely of free space.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits
AU  - Hubert Michael Quinn
Y1  - 2020/08/25
PY  - 2020
N1  - https://doi.org/10.11648/j.fm.20200602.11
DO  - 10.11648/j.fm.20200602.11
T2  - Fluid Mechanics
JF  - Fluid Mechanics
JO  - Fluid Mechanics
SP  - 30
EP  - 50
PB  - Science Publishing Group
SN  - 2575-1816
UR  - https://doi.org/10.11648/j.fm.20200602.11
AB  - The recent publication of Quinn’s Law of Fluid Dynamics brings into focus longstanding contradictions regarding permeability in closed conduits that have littered the fluid dynamics landscape for more than 150 years. In this paper, we will use this new level of understanding to explain these contradictions, in layman’s terms, and resolve them, by introducing for the first time, as far as we know, a unique solution to the Navier-Stokes equation for fluid flow in closed conduits, which is understandable by knowledgeable physicists, engineers, chromatographers and aerospace enthusiasts alike, but who may not necessarily be versed in the abstract jargon of a graduate in advanced mathematics. In addition, we will apply our unique solution to chosen illustrative worked examples, as well as those of third parties from the published literature. In so doing, we will demonstrate the utility of our solution, not only, to packed conduits containing particles having solid skeletons, but also, to empty conduits, which in the context of this new understanding of fluid dynamics in closed conduits, represents a special case of a packed conduit in which the particles are fully porous, i.e., they are made entirely of free space.
VL  - 6
IS  - 2
ER  -

Copy | Download