Abstract
In order to make the numerical calculation of viscous flows more convenient for the flows in channel with complicated profile governing equations expressed in the arbitrary curvilinear coordinates were derived by means of Favre density- weighted averaged method, and a turbulent model with effect of curvature modification was also derived. The numerical calculation of laminar and turbulent flows in divergent curved channels was carried out by means of parabolized computation method. The calculating results were used to analyze and investigate the aerodynamic performance of stator cascades in compressors preliminarily.
Similar content being viewed by others
References
Squire, H. B. and K. G. Winter,The secondary flows in cascades of airfoils in a nonuniform stream,Journal of Aeronautical Science, 18, April (1951).
Patankar, S.V. and D.B. Spalding, A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flow,Int. J. Heat and Mass Transfer,15 (1972).
Pratap, V.S. and D.B. Spalding, Numerical computation of flow in curved ducts,The Aeronautical Quarterly,26, August (1975).
Reitman, V., M. Isreali and M. Wolfshin, Numerical solution of the Reynolds stress equations in a developing duct fiow,AIAA Paper, No. 83-1883 (1983).
Jiao De-yong and Yang Hong-wei,Turbulent mathematic models. Science Research Report of Haerbin Institute of Technology, KJ8702004 (1987). (in Chinese)
Wang Ying-shi, Fang Wei-cheng, Zhou Li-xing and Xu Xu-chang,Numerical Calculation of Combutsion Procedure, Science Press, China (1986). (in Chinese)
Yang Hong-wei, Jiao De-yong and Feng Guo-tai, General equations for viscous turbulent models and their expansions in non-orthogonal curvilinear coordinates,Journal of Haerbin Institute of Technology, 2 (1986).
Cai Rui-xing, Wang Xi-gang, et al., Influence of stator shroud on aerodynamic performance of axial-flow compressor and thermodynamic test results of a 4500 HP locomotive gas turbine,J. Engineering Thermophysics,1, 1 (1980).
Jefferson, J.F. and R.C. Turner, Some shrouding and tip clearance effects in axial flow compressors,Transaction of Northwest Coast Institute of Shipbuilding and Engineering,5 (1985).
Lai Sheng-kai, Su Rong-pei et al., Experimental investigation to the end flow in compressor cascades,J. Engineering Thermophysics,3, 4 (1982).
Author information
Authors and Affiliations
Additional information
Communicated by Yeh Kai-yuan
Rights and permissions
About this article
Cite this article
De-yong, J., Hong-wei, Y., Zhi-jun, Z. et al. Numerical investigation of three-dimensional viscous incompressible flows in divergent curved channels and turbulent model study. Appl Math Mech 10, 639–646 (1989). https://doi.org/10.1007/BF02115796
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02115796