Fluid Gauge Theory

Fluid Gauge Theory

Tsutomu Kambe

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Abstract

According to the general gauge principle, Fluid Gauge Theory is presented to cover a wider class of flow fields of a perfect fluid without internal energy dissipation under anisotropic stress field. Thus, the theory of fluid mechanics is extended to cover time dependent rotational flows under anisotropic stress field of a compressible perfect fluid, including turbulent flows. Eulerian fluid mechanics is characterized with isotropic pressure stress fields. The study is motivated from three observations. First one is experimental observations reporting large-scale structures coexisting with turbulent flow fields. This encourages a study of how such structures observed experimentally are possible in turbulent shear flows, Second one is a theoretical and mathematical observation: the “General solution to Euler’s equation of motion” (found by Kambe in 2013) predicts a new set of four background-fields, existing in the linked 4d-spacetime. Third one is a physical query, “what symmetry implies the current conservation law ?”. The latter two observations encourage a gauge-theoretic formulation by defining a differential one-form representing the interaction between the fluid-current field jμ and a background field aμ.

References

21 Cites in Article

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Ian Aitchison,Anthony Hey (2013). Gauge Theories in Particle Physics: A Practical Introduction, Volume 2: Non-Abelian Gauge Theories.
Vladimir Arnold (1966). Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits.
Juan Del Álamo,Javier Jiménez (2006). Linear energy amplification in turbulent channels.
N Hutchins,I Marusic (2007). Evidence of very long meandering features in the logarithmic region of turbulent boundary layers.
J Jackson (1999). Classical Electrodynamics.
Tsutomu Kambe (2010). Geometrical Theory of Dynamical Systems and Fluid Flows.
T Kambe (2011). A new solution of Euler's equation of motion with explicit expression of helicity.
Tsutomu Kambe (2013). A new representation of rotational flow fields satisfying Euler's equation of an ideal compressible fluid.
Tsutomu Kambe (2017). New scenario of turbulence theory and wall-bounded turbulence: theoretical significance.
Tsutomu Kambe (2020). New perspectives on mass conservation law and waves in fluid mechanics.
T Kambe (2021). Gauge symmetries in physical fields (review).
T Kambe (2021). Fluid Gauge Theory (updating title): New Perspective on Mass Conservation and Rotational Waves.
K Kim,R Adrian (1999). Very large-scale motion in the outer layer.
August Kundt (1866). Ueber eine neue Art akustischer Staubfiguren und über die Anwendung derselben zur Bestimmung der Schallgeschwindigkeit in festen Körpern und Gasen.
L Landau,E M Lifshitz (1975). CONSTANT ELECTROMAGNETIC FIELDS.
L Landau,E M Lifshitz (1987). RELATIVISTIC FLUID DYNAMICS.
C Misner,K Thorne,J A Wheeler (2017). Gravitation.
J Monty,J Stewart,R Williams,M Chong (2007). Large-scale features in turbulent pipe and channel flows.
E Noether (1918). Invariant variations problem.
W Reynolds,A Hussain (1972). The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments.
D Scofield,Pablo Huq (2014). Fluid dynamical Lorentz force law and Poynting theorem—derivation and implications.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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How to Cite This Article

Tsutomu Kambe. 2021. \u201cFluid Gauge Theory\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 21 (GJSFR Volume 21 Issue A4).

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GJSFR Volume 21 Issue A4

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-A Classification FOR Code: 020399

Submission ReceivedOctober 7, 2021
Peer Review Double Blind
Handling Editor
Accepted October 28, 2021
Published November 7, 2021

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v1.2

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December 6, 2021

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