In order to develop the transonic stream function approach, in this paper one of the momentum equations is employed to form the principal equation of the stream function which does not contain vorticity and entropy terms, and the other one is used to calculate the density directly. Since the density is uniquely determined, the problem that the density is a double-valued function of mass flux in the stream function formulation disappears and the entropy increase across the shock is naturally included. The numerical results for the transonic cascade flow show that the shock obtained from the present method is slightly weaker and is placed farther downstream compared to the irrotational stream function calculation, and is closer to the experimental data. From a standpoint of computation the iterative procedure of this formulation is simple and the alternating use of two momentum equations makes the calculation more effective.
Skip Nav Destination
Article navigation
October 1987
Research Papers
Numerical Solution of Stream Function Equations in Transonic Flows
J. Z. Xu,
J. Z. Xu
Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, China
Search for other works by this author on:
W. Y. Ni,
W. Y. Ni
Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, China
Search for other works by this author on:
J. Y. Du
J. Y. Du
Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, China
Search for other works by this author on:
J. Z. Xu
Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, China
W. Y. Ni
Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, China
J. Y. Du
Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, China
J. Turbomach. Oct 1987, 109(4): 508-512 (5 pages)
Published Online: October 1, 1987
Article history
Received:
February 3, 1987
Online:
November 9, 2009
Citation
Xu, J. Z., Ni, W. Y., and Du, J. Y. (October 1, 1987). "Numerical Solution of Stream Function Equations in Transonic Flows." ASME. J. Turbomach. October 1987; 109(4): 508–512. https://doi.org/10.1115/1.3262140
Download citation file:
Get Email Alerts
Cited By
Related Articles
Numerical Computation of Nonisentropic Potential Equations for Transonic Cascade Flows
J. Turbomach (July,1988)
TPIV Experimental Investigation of Film Coolant-to-Mainstream Interaction From Shaped Cooling Holes With Various Inlet Geometries
J. Turbomach (May,2024)
Related Proceedings Papers
Related Chapters
Control and Operational Performance
Closed-Cycle Gas Turbines: Operating Experience and Future Potential
Introduction and Background
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
VISVE, a Vorticity Based Model Applied to Cavitating Flow around a 2-D Hydrofoil
Proceedings of the 10th International Symposium on Cavitation (CAV2018)