PreprintCC BY 4.0arXiv
Integral relations for the skin-friction coefficients and other quantities of annular flows
Abstract
Integral identities relating the skin-friction coefficients and the Reynolds shear stresses in annular cylindrical flows are derived. In the pressure-driven case, an identity for the radial location of the maximum streamwise velocity is obtained and, in the cylinder-driven case, an identity for the bulk velocity is found. The formulas are used to analyse existing numerical and experimental data and simplify to classical channel-flow and pipe-flow identities in the limiting cases of vanishingly small and infinitely large radius ratios.
Related
- Mapping-based exact-integral formulation of skin-friction transformations for zero-pressure-gradient compressible turbulent boundary layers
- Conserved quantities in a bosonic tight-binding chain with non-Hermitian quartic terms
- Proof of the absence of local conserved quantities in the Holstein model
- Physics-informed interpretable forms for dipole resonances and quantities relevant for astrophysics
- Localized Covariant Quantities Appear To Underlie Quantum Circuits
BibTeX
@misc{ricco2026integral,
title = {{Integral relations for the skin-friction coefficients and other quantities of annular flows}},
author = {Pierre Ricco},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.22171},
eprint = {2607.22171},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.22171},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Integral relations for the skin-friction coefficients and other quantities of annular flows
AU - Pierre Ricco
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2607.22171
UR - https://arxiv.org/abs/2607.22171
AB - Integral identities relating the skin-friction coefficients and the Reynolds shear stresses in annular cylindrical flows are derived. In the pressure-driven case, an identity for the radial location of the maximum streamwise velocity is obtained and, in the cylinder-driven case, an identity for the bulk velocity is found. The formulas are used to analyse existing numerical and experimental data and simplify to classical channel-flow and pipe-flow identities in the limiting cases of vanishingly small and infinitely large radius ratios.
ER -