Critical transition Reynolds number for plane channel flow

doi:10.1007/s10483-017-2245-6

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (10): 1415-1424.doi: https://doi.org/10.1007/s10483-017-2245-6

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Critical transition Reynolds number for plane channel flow

Yongming ZHANG^1,2

1. Department of Mechanics, Tianjin University, Tianjin 300072, China;
2. Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin 300072, China

Received:2016-12-22 Revised:2017-02-19 Online:2017-10-01 Published:2017-10-01
Contact: Yongming ZHANG E-mail:ymzh@tju.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of China (No. 2016YFA0401200) and the National Natural Science Foundation of China (Nos. 11672204, 11332007, 11202147, and 11402167)

Abstract

Abstract:

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.

Key words: production form, generalized structure, Levi hierarchy, plane channel flow, boundary layer flow, critical transition Reynolds number

2010 MSC Number:

76F06

Yongming ZHANG. Critical transition Reynolds number for plane channel flow. Applied Mathematics and Mechanics (English Edition), 2017, 38(10): 1415-1424.

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References

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Critical transition Reynolds number for plane channel flow

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