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Published June 15, 2026 | Version v1

Geometry-Driven Reconfiguration of Poloidal Recirculating Flow in a Concentric Baffle Vessel

Description

This paper studies steady incompressible flow in a cylindrical vessel containing a concentric inner shroud or baffle. This geometric configuration forces a poloidal recirculating loop, where fluid moves downward through a central core region and returns upward along the surrounding outer annulus. We investigate how the primary dimensionless aspect ratio—the diameter ratio λ—affects flow partitioning, system pressure losses, and global circulation strength. Using standard fluid mechanics foundations (continuity, Navier–Stokes scaling, and hydraulic resistance concepts), we demonstrate that geometry influences the flow field indirectly by modifying local hydraulic resistance and viscous dissipation pathways, rather than directly dictating structural velocity ratios.

A newenergy-based diagnostic metric Π is introduced to characterize circulation strength relative to total volumetric dissipation. The structural model is developed as a scalable framework intended for formal validation using Computational Fluid Dynamics (CFD) or laboratory experimental methodologie

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References

  • [1] White, F. M. — Fluid Mechanics, 8th ed., McGraw-Hill, New York, 2015. [2] Kundu, P. K., Cohen, I. M., and Dowling, D. R. — Fluid Mechanics, 6th ed., Academic Press, San Diego, 2015. [3] Cengel, Y. A., and Cimbala, J. M. — Fluid Mechanics: Fundamentals and Applications, 4th ed., McGraw-Hill, 2018. [4] Batchelor, G. K. — An Introduction to Fluid Dynamics, Cambridge University Press, Cambridge, 1967. [5] Pope, S. B. — Turbulent Flows, Cambridge University Press, Cambridge, 2000. [6] Idelchik, I. E. — Handbook of Hydraulic Resistance, 4th ed., International Journal of Science and Technology, 2007. [7] Davidson, P. A. — Turbulence in Rotating, Stratified and Electrically Conducting Fluids, Cambridge University Press, 2013. [8] Davidson, P. A. — ``Swirling and recirculating flows in confined geometries,'' Journal of Fluid Mechanics, vol. 700, pp. 123–145, 2012.