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Models for high-Reynolds-number flow down a step

  • K. O'Malley (a1), A. D. Fitt (a2), T. V. Jones (a1), J. R. Ockendon (a3) and P. Wilmott (a4)...

Abstract

We consider inviscid, incompressible flow down a backward-facing step. Using thin-aerofoil theory, a model is proposed in which the separated region downstream of the back face of the step consists of a constant-pressure zone immediately behind the step, followed by a Prandtl–Batchelor constant-vorticity region. The motivation for this model is a series of experimental studies which showed the pressure just downstream of the step to be almost constant in some upstream portion of the separated region. Previous models have ignored this constant-pressure region and agreement with experiment has not been good. Agreement with experiment is clearly superior using the constant-pressure/constant-vorticity model, though it is possible that the comparison could be improved still further by consideration of the behaviour of the shear layer after reattachment. Some discussion of such models is given.

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Childress, S.: 1966 Solutions of Euler's equations containing finite eddies. Phys. Fluids 9, 860872.
Eaton, J. K. & Johnston, J. P., 1981 A review of research on subsonic turbulent flow reattachment. AIAA J. 19, 10931100.
Fitt, A. D., Ockendon, J. R. & Jones, T. V., 1985 Aerodynamics of slot-film cooling: theory and experiment. J. Fluid Mech. 160, 1527.
Good, M. C. & Joubert, P. M., 1968 The form drag of two-dimensional bluff plates immersed in turbulent boundary layers. J. Fluid Mech. 31, 547582.
Moore, D. W., Saffman, P. G. & Tanveer, S., 1988 The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow. Phys. Fluids 31, 978990.
Moore, T. W. F.: 1960 Some experiments on the reattachment of a laminar boundary layer separating from a rearward-facing step on a flat plate aerofoil. J. R. Aero. Soc. 64, 668672.
Moss, W. D. & Baker, S., 1980 Recirculating flows associated with two-dimensional steps. Aero. Q. 31, 151172.
Narayanan, M. A. B., Khadgi, Y. N. & Viswanath, P. R., 1974 Similarities in pressure distribution in separated flow behind backward-facing steps. Aero. Q. 25, 305312.
O'Malley, K.: 1988 An experimental and theoretical investigation of slot injection and flow separation. D. Phil, thesis, Oxford University Department of Engineering Science.
Riley, N.: 1987 Inviscid separated flows of finite extent. J. Engng Maths 21, 349361.
Roshko, A. & Lau, J. C., 1965 Some observations on transition and reattachment of a free shear layer in incompressible flow. Proc. 1965 Heat Transfer and Fluid Mechanics Institute. Stanford University Press.
Ruderich, R. & Fernholz, H. H., 1986 An experimental investigation of a turbulent shear flow with separation, reverse flow and reattachment. J. Fluid Mech. 163, 283322.
Sadovskii, V. S.: 1971 Vortex regions in a potential stream with a jump of Bernoulli's constant at the boundary. Z. Angew. Math. Mech. 35, 729735.
Tani, I., Iuchi, M. & Komoda, H., 1961 Experimental investigation of flow separation associated with a step or a groove. Aeronautical Research Institute, University of Tokyo, Rep. 364.
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Models for high-Reynolds-number flow down a step

  • K. O'Malley (a1), A. D. Fitt (a2), T. V. Jones (a1), J. R. Ockendon (a3) and P. Wilmott (a4)...

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