发表机构
Ultra Quantum Inc（超量子公司）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
基于Alexeev方程提出解析判据，通过粘性耗散平衡导出临界雷诺数，预测通道流动湍流到层流的转变阈值，并得到实验验证。
AI 中文摘要
在Alexeev流体动力学方程（AHE）框架内，建立了通道内湍流消失的解析判据。该分析基于流向速度的解析表示，将其视为抛物线分量与耦合到横向速度场的非线性湍流分量的叠加。临界雷诺数由与湍流分量相关的动能的粘性耗散平衡得出。所得临界雷诺数解析表示为\\(Re_c=f(\delta,\gamma,n)\\)，其中\\(\delta\\)是与雷诺数无关的AHE相似参数，\\(\gamma\\)是湍流分量的权重系数，\\(n\\)是横向速度模态数。该判据描述了随着雷诺数减小湍流解的消失，因此针对的是湍流到层流的转变，而非层流解的线性不稳定性。与基于单一普适临界雷诺数的判据不同，AHE判据预测的转变阈值依赖于表征流动的参数。对于典型的通道流动参数，预测的临界雷诺数约为\\(Re_c=1000\text{--}1200\\)。将预测阈值与通道流动中转变和层流持续存在的实验观测进行了比较。分析表明，粘性耗散提供了一种机制，限制了湍流解在临界雷诺数以下的持续存在。
英文摘要
An analytical criterion for the disappearance of turbulent flow in a channel is developed within the Alexeev hydrodynamic equations (AHE). The analysis builds on an analytical representation of the streamwise velocity as a superposition of a parabolic component and a nonlinear turbulent component coupled to the transverse velocity field. The critical Reynolds number is obtained from the balance of viscous dissipation of kinetic energy associated with the turbulent component. The resulting critical Reynolds number is expressed analytically as \(Re_c=f(δ,γ,n)\), where \(δ\) is the Reynolds-independent AHE similarity parameter, \(γ\) is the weighting coefficient of the turbulent component, and \(n\) is the transverse-velocity mode number. The criterion describes the disappearance of the turbulent solution as the Reynolds number is decreased and therefore addresses the turbulent-to-laminar transition rather than the linear instability of the laminar solution. Unlike a criterion based on a single universal critical Reynolds number, the AHE criterion predicts a transition threshold that depends on the parameters characterizing the flow. For representative channel-flow parameters, the predicted critical Reynolds number is approximately \(Re_c=1000\text{--}1200\). The predicted threshold is compared with experimental observations of transition and of the persistence of laminar flow in channel flows. The analysis suggests that viscous dissipation provides a mechanism limiting the persistence of the turbulent solution below a critical Reynolds number.%
Comments13 pages, 8 figures, AMITANS 2026 conference, Albena, Bulgaria, June 26 - July 03, 2026
