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critical transition reynolds number for plane channel flow

Applied Mathematics and Mechanics(English Edition) 2017年第10期38卷 1415-1424页

作者： Yongming ZHANG Department of Mechanics Tianjin University Tianjin Key Laboratory of Modern Engineering Mechanics

The determination of the critical transition reynolds number is of practical importance for some engineering problems. However, it is not available with the current theoretical method, and has to rely on experiments. For supersonic/hypersonic boundary layer flows, the experimental method for determination is not feasible either. Therefore, in this paper, a numerical method for the determination of the critical transition reynolds number for an incompressible plane channel flow is proposed. It is basically aimed to test the feasibility of the method. The proposed method is extended to determine the critical reynolds number of the supersonic/hypersonic boundary layer flow in the subsequent papers.

关键词： critical transition reynolds number plane channel flow boundary layerflow

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critical transition reynolds number for the Incompressible Flat-plate Boundary Layer as Searched by Numerical Simulation

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Advances in Applied Mathematics and Mechanics 2023年第4期15卷 1056-1075页

作者： Yongming Zhang Di Liu Ning Li Laboratory for High-Speed Aerodynamics Tianjin UniversityTianjin 300072China Department of Mechanics Tianjin UniversityTianjin 300072China Tianjin Key Laboratory of Modern Engineering Mechanics Tianjin 300072China Research Institute of Petroleum Exploration&Development PetroChinaBeijing 100083China

The critical transition reynolds number is the lowest value at which the turbulent flow can hold in real *** determination of the critical transition reynolds number not only is a scientific problem,but also is important for some engineering ***,there is no available theoretical method to search the critical *** the hypersonic boundary layer with significant importance for engineering problems,there is no available experimental method to search the critical value so ***,it is imperative to take numerical method to search *** this paper,direct numerical simulations(DNS)method is employed to determine the critical transition reynolds number for the incompressible flat-plate boundary ***,under the assumption of parallel flow,the temporal mode DNS is performed to determine the critical value as Re_(xpcr)=43767,which is quite close to the numerical results of other ***,under the condition of nonparallel flow,the spatial mode DNS is performed to determine the critical transition reynolds number as Re_(xcr)=3×10^(5),which is well consistent with the experimental *** principle,the proposed method in this paper can be extended to the supersonic/hypersonic boundary layer,and that problem will be discussed in the subsequent papers.

关键词： critical transition reynolds number flat-plate boundary layer DNS temporal mode spatial mode

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