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Numerical modelling of turbulent flow through conical diffuses with uniform and wake velocity profiles at the inlet. (English) Zbl 0639.76066

This paper is mainly concerned with the modelling of turbulent flow through conical diffusers to determine the various boundary layer characteristics. Flow through 4.5\(\circ\) and 6.0\(\circ\) diffusers has been considered with uniform as well as wake velocity profiles at the inlet. A finite difference method has been used to solve the partial differential equation of u-momentum. For the solution, a marching integration technique with the tridiagonal matrix algorithm is used. The Prandtl mixing length hypothesis is used to model the turbulence. The velocity profiles, the displacement thickness, momentum thickness, shape factor, blockage factor, performance and effectiveness of these diffusers at various downstream stations have been predicted and compared with the available experimental results. The agreement in general is quite satisfactory.

MSC:

76F99 Turbulence
76M99 Basic methods in fluid mechanics

Software:

GENMIX
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Full Text: DOI

References:

[1] Lakshminarasimhan, J., Experimental investigations on conical diffusers with centrally distorted velocity profiles, (M.S. Thesis (1975), IIT: IIT Madras, India)
[2] Ganesan, V., Flow and boundary layer development in straight core annular diffusers, Int. J. Engng Sci., 18, 287-304 (1980) · Zbl 0424.76071
[3] Ganesan, V.; Murthy, B. S., Numerical prediction of performance and effectiveness of conical diffusers, (Proc. 1st Int. Conf. on Centrifugal Compressor Technol. (1978), IIT: IIT Madras, India)
[4] Ganesan, V.; Murthy, B. S., Numerical prediction of flow and performance characteristics of core annular diffusers, (Proc. 8th National Conf. on F.M.F.P. P.S.G. Technology (1978)), Coimbatore, India
[5] Jeyachandran, K.; Ganesan, V., Turbulent boundary layer development under adverse pressure gradients—a numerical preciction, (Proc. 10th National Conf. on F.M.F.P., R.I.T. (1981)), Jamshedpur, India · Zbl 0639.76066
[6] Jeyachandran, K.; Ganesan, V., Numerical prediction of performance and effectiveness of conical diffusers with inlet velocity distortions, (Proc. 5th ISME Conf. on Mech. Engng (1982)), Allahabad, India · Zbl 0639.76066
[7] Spalding, D. B., Genmix: a General Computer Program for Two-dimensional Parabolic Phenomena (1977), Pergamon Press: Pergamon Press Oxford
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