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arXiv · 2210.17195

Shear-layer dynamics at the interface of parallel Couette flows

Abstract

This article aims to make a detailed analysis of co-flowing plane Couette flows. Particularly, the variation of flow quantities from the turbulent to non-turbulent region is studied. While the enstrophy exhibits a sharp jump, the other quantities (e.g., mean velocity, Reynolds normal stress, and kinetic energy) show a continuous variation across the interface. The budget analysis of Reynolds normal stresses reveals that the terms playing a key role in turbulence transportation vary depending on the Reynolds normal stress under study. The terms production, diffusion, and redistribution play an important role in streamwise Reynolds stress ðu0u0 Þ. In the spanwise Reynolds stress ðv0v0 Þ, the diffusion terms play a significant role. In the wall-normal Reynolds stress ðw0w0 Þ, only the redistribution term is significant. The influence of one flow over another in the co-flow state was observed through the additional mean velocity and Reynolds normal stress found in the system compared to a standard plane Couette flow (pCf). Comparing the co-flow system with a conventional pCf system, the former exhibits greater vorticity, vortex stretching, and kinetic energy. A detailed analysis on the geometry and topology of flow structures was studied using flow invariants.

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Manohar Teja Kalluri, Vagesh D. Narasimhamurthy. 2022-10-31. Shear-layer dynamics at the interface of parallel Couette flows. https://doi.org/10.1063/5.0107519

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