Character of simplified Navier-Stokes equations for near the leading edge part of two-dimensional laminar flow past a flat plate

Tian Ji-wei; Wang Xin-sheng

doi:10.1007/BF02850496

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Character of simplified Navier-Stokes equations for near the leading edge part of two-dimensional laminar flow past a flat plate

Updated：2023-05-16

- Character of simplified Navier-Stokes equations for near the leading edge part of two-dimensional laminar flow past a flat plate
- Journal of Oceanology and Limnology Vol. 12, Issue 4, Pages: 351-360(1994)
- Affiliations：
  
  1. Institute of Oceanology
  2. Qingdao University
- Author bio：
- Funds：
- DOI：10.1007/BF02850496
  CLC：
- Published：1994
- Accepted：
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Ji-wei, T., Xin-sheng, W. Character of simplified Navier-Stokes equations for near the leading edge part of two-dimensional laminar flow past a flat plate., Chin. J. Ocean. Limnol. 12, 351–360 (1994). https://doi.org/10.1007/BF02850496
DOI：

Ji-wei, T., Xin-sheng, W. Character of simplified Navier-Stokes equations for near the leading edge part of two-dimensional laminar flow past a flat plate., Chin. J. Ocean. Limnol. 12, 351–360 (1994). https://doi.org/10.1007/BF02850496 DOI：

摘要

Abstract

Starting from the Simplified Navier-Stokes(SNS) equations presented at first by Godovachev-Kuzmin-Tsopov

and Gao Zhi

Davis

the authors analyze the character of the SNS equations for the laminar flow near the leading edge of a flat plate and far away from the plate by using the Weiner-Hopf method and Fourier transform. It is proved that the solution of the SNS equations agree with the solution of the Navier-Stokes equations for flow near the leading edge of the plate and far away from the plate. How to match the solution of the SNS equations to the Blasius solution of the boundary layer equations is also discussed.

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references

Anderson, D. A., Tannehill, J. C., & Plethor, R. H., 1984. Computational Fluid Mechanics and Heat Transfer. McGraw-Hill Book Company, pp 101–132.

Carrier, G. F. and Lin, C. C., 1948. On the nature of the boundary layer the leading edge of a flat plate,Qurt. Appl. Math. 6: 63–68.

Tian Jiwei, 1992. The character of the simplified Navier-Stockes (SNS) equations near separation point for two dimension laminar flow over a flat plate”.Science in China(Series A) 35(1): 1242–1253.

Wevle, M. J., 1991. E. Thomas Davis: His contribution to computational fluid dynamicsComputers & Fluids,20(30): 187–200.

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