Version 1
: Received: 10 October 2023 / Approved: 11 October 2023 / Online: 12 October 2023 (11:27:18 CEST)
Version 2
: Received: 15 October 2023 / Approved: 16 October 2023 / Online: 18 October 2023 (10:22:28 CEST)
Version 3
: Received: 22 October 2023 / Approved: 23 October 2023 / Online: 23 October 2023 (13:45:22 CEST)
Version 4
: Received: 25 October 2023 / Approved: 25 October 2023 / Online: 25 October 2023 (15:11:03 CEST)
How to cite:
Sun, B. Solitonlike Coherent Structure Is a Universal Motion Form of Viscous Fluid. Preprints2023, 2023100784. https://doi.org/10.20944/preprints202310.0784.v4
Sun, B. Solitonlike Coherent Structure Is a Universal Motion Form of Viscous Fluid. Preprints 2023, 2023100784. https://doi.org/10.20944/preprints202310.0784.v4
Sun, B. Solitonlike Coherent Structure Is a Universal Motion Form of Viscous Fluid. Preprints2023, 2023100784. https://doi.org/10.20944/preprints202310.0784.v4
APA Style
Sun, B. (2023). Solitonlike Coherent Structure Is a Universal Motion Form of Viscous Fluid. Preprints. https://doi.org/10.20944/preprints202310.0784.v4
Chicago/Turabian Style
Sun, B. 2023 "Solitonlike Coherent Structure Is a Universal Motion Form of Viscous Fluid" Preprints. https://doi.org/10.20944/preprints202310.0784.v4
Abstract
The discovery of solitonlike coherent structure (SCS) in boundary layer flows is crucial for understanding turbulence origins and in particular for laminar-turbulence transition. However, the task of finding solutions for solitonlike coherent structure from the Navier-Stokes equations poses a significant challenge. In this paper, based on the author's previous work [B.H. Sun, Exact similarity solutions of unsteady laminar boundary layer flows, Preprints 2023, 2023092117], we are able to study convergent flow boundary layers, whose solution encompasses both shock wave and solitary wave solutions, and their superposition gives rise to solitary-like waves, namely solitonlike coherent structure. It is found that the solitonlike coherent structure can only be obtained by combining the Navier-Stokes equations and mass conservation, since the combined equations will have the third order derivatives respect to coordinate $x$, in other words, without the mass conservation condition, the Navier-Stokes equations does not contain solitonlike coherent structure by itself. Finally proved solitonlike coherent structure is a universal motion form of viscous fluid.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Bohua Sun
Commenter's Conflict of Interests: Author