Summary
An inviscid description of separated flow over elliptic cones at incidence in terms of vortex sheets and line vortices is developed within the framework of slender-body theory and with emphasis on solutions with lateral asymmetry. It is demonstrated that grossly asymmetric solutions with smooth separation exist for circular cones over a range of values of the incidence parameter, and properties of these solutions are displayed. For a typical incidence parameter and fixed symmetric separation position, it is shown that asymmetric solutions for elliptic cones only exist for cross-sectional thickness ratios greater than a critical value, at which they appear to bifurcate from the symmetric solution branch.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Smith, F.T.: Steady and unsteady boundary-layer separation. Ann. Rev. Fluid Mech. 18 (1986) 197–220.
Mangler, K.W.; Smith, J.H.B.: A theory of the flow past a slender delta wing with leading-edge separation. Proc. R. Soc. Lond. A251 (1959) 200–217.
Fiddes, S.P.: A theory of the separated flow past a slender elliptic cone at incidence. Paper 30 in Computation of viscous-inviscid interactions, AGARD CP291 (1980).
Smith, J.H.B.: Behaviour of a vortex sheet separating from a smooth surface. RAE Technical Report 77058 (1977).
Smith, F.T.: Three-dimensional viscous and inviscid separation of a vortex sheet from a smooth non-slender body. RAE Technical Report 78095 (1978).
Dyer, D.E.; Fiddes, S.P.; Smith, J.H.B.: Asymmetric vortex formation from cones at incidence–a simple inviscid model. Aeron. Quart. 33 (1982) 293–312.
Fiddes, S.P.: Separated flow about cones at incidence - theory and experiment. ICASE/Langley Workshop on vortex dominated flows (1985), Springer, to be published.
Fiddes, S.P.; Smith, J.H.B.: Calculations of asymmetric separated flow past circular cones at large angles of incidence. Paper 14 in Missile Aerodynamics, AGARD CP336 (1982).
Smith, J.H.B.: Theoretical modelling of three-dimensional vortex flows in aerodynamics. Aeron. J. (1984) 101–116.
Smith, J.H.B.: Improved calculations of leading-edge separation from slender, thin delta wings. Proc. R. Soc. Lond. A306 (1968) 67–90.
Hoeijmakers, H.W.M.: Methods for numerical simulation of leading-edge vortex flow. ICASE/Langley Workshop on vortex dominated flows (1985), Springer, to be published.
Smith, J.H.B.: Achievements and problems in modelling highly-swept flow separations. In Numerical methods in aeronautical fluid dynamics, ed. P.L. Roe, Academic Press (1982).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin, Heidelberg
About this paper
Cite this paper
Fiddes, S.P., Smith, J.H.B. (1987). Asymptotic Separation from Slender Cones at Incidence. In: Smith, F.T., Brown, S.N. (eds) Boundary-Layer Separation. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83000-6_21
Download citation
DOI: https://doi.org/10.1007/978-3-642-83000-6_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83002-0
Online ISBN: 978-3-642-83000-6
eBook Packages: Springer Book Archive