乱流の急激な遷移、曲率のあるパイプで発生する可能性(Turbulence With a Twist)

2025-09-11 カリフォルニア大学サンディエゴ校(UCSD)

流体が層流から乱流へ移る遷移は従来、流体力学で研究されてきたが、近年は「浸透現象」と統計物理の理論で説明可能とされる。UCサンディエゴの研究チームは、曲がったパイプ内の流れで、遷移が連続的でなく臨界点を超えた瞬間に乱流が不連続に現れることを予測した。これは氷の相転移に似ており、「三重点指向浸透(tricritical directed percolation)」という枠組みに基づく。新モデルは既存の実験と整合し、層流から乱流への転移をより正確に記述できる。成果は乱れ発生の予測性向上に寄与し、Physical Review Lettersに発表された。

<関連情報>

体積力作用下における配管内の層流-乱流遷移を制御する三臨界指向性浸透現象 Tricritical Directed Percolation Controls the Laminar-Turbulent Transition in Pipes with Body Forces

Guru K. Jayasingh and Nigel Goldenfeld
Physical Review Letters  Published: 3 September, 2025
DOI: https://doi.org/10.1103/46g3-n7cx

Abstract

The laminar-turbulent transition in straight pipes is believed to occur through a continuous nonequilibrium phase transition in the directed percolation universality class. However, in curved pipes or in the presence of body forces it is possible to observe a discontinuous transition and other phenomenology which seem inconsistent with the emerging consensus. Here, we consider the perturbing effects of body forces and incorporate them into a minimal Landau theory of the transition. We calculate the phase diagram as a function of Reynolds number and body force strength, and show that above a threshold strength of the latter, there is a tricritical point which accounts for the observed discontinuity behavior, including spatially heterogeneous states. Our results are consistent with recent experiments in centrifugal pipes and direct numerical simulations of heated flows.

0106流体工学
ad
ad
Follow
ad
タイトルとURLをコピーしました