Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-22T11:15:55.608Z Has data issue: false hasContentIssue false

Vortices and turbulence

Published online by Cambridge University Press:  04 July 2016

Geoffrey M. Lilley*
Affiliation:
Dept of Aeronautics and Astronautics, University of Southampton

Extract

Ladies and Gentlemen, tonight we pay homage to Frederick William Lanchester, Doctor of Laws, Fellow of the Royal Society who, having become interested in mechanical flight at the age of 21, while studying at South Kensington in 1889, entered the field of aeronautics in 1892 and continued to aid its development until his death in 1946. His great contributions to aeronautics were the discovery of the theory of the vortex motion of the lifting wing and that the key to successful flight lay in reducing the skin friction, which was far from being the negligible quantity that others such as Langley, whose name is forever remembered through NASA Langley Field, had stated earlier. All this was in 1893 to 1894 some ten years before the first flight of the Wright brothers. When asked later how he had successfully derived his great and momentous theory Lanchester simply stated; ‘it was a matter of logical deduction helped by experiment’. He vigorously defended his work as not being empirical but was soundly based on hydrodynamic theory.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1983 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Alexander, A. J. Experiments on a delta wing using leading edge blowing to remove secondary separation, 1963. College of Aeronautics, Rep. 161.Google Scholar
Aref, H. Integrable, chaotic and turbulent vortex motions in two-dimensional flows, 1983. Ann. Rev. Fluid Mech. 15, 345.Google Scholar
Ashurst, W. T. Numerical simulation of turbulent mixing layers via vortex dynamics, 1977. Sandia Lab. Rep. SAND 77-8612.Google Scholar
Ashurst, W. T. Numerical simulation of turbulent mixing layers via vortex dynamics, 1979. Turbulent Shear Flows I, Ed. Durst, F. et al. Berlin/Heidelberg/New York, Springer.Google Scholar
Barsby, J. E. Calculations of the effect of blowing from the leading edges of a slender delta wing, 1971. ARC R&M 3692.Google Scholar
Batchelor, G. K. An introduction to fluid dynamics, CUP, 1967.Google Scholar
Batchelor, G. K. Theory of homogeneous turbulence, cup, 1956.Google Scholar
Bradshaw, P., Ferris, D. H. and Atwell, N. P. Calculation of the boundary layer developing using the turbulent energy equation, 1967. JFM 28, 3, 593616.Google Scholar
Bullen, P. R. The interaction of a circular jet with an external trailing vortex pair, 1978. PhD thesis, Southampton University.Google Scholar
Cantwell, B. J. Organized motion in turbulent flow, 1981. Ann. Rev. Fluid Mech, 13.Google Scholar
Coles, D. E. and Hirst, E. A. Proceedings of Computation of Turbulent Boundary Layers, 1968, AFOSR-IFP-Stanford Conference Vol. II.Google Scholar
Coles, D. E. and Wadcock, J. A. Flying hot-wire study of flow past a NACA 4412 airfoil at maximum lift, 1979. AIAA Journal, 17, 4.Google Scholar
Dowling, A. P., Ffowcs-Williams, J. E. and Goldstein, M. E. Sound radiation in a moving stream. Phil. Trans. Roy. Soc. A. 288, 321349, 1978.Google Scholar
Fisher, M. J. and Morfey, C. L. Jet noise, 1976. AGARD Lecture Series No. 80 on Aerodynamic Noise.Google Scholar
Falco, R. E. Coherent motions in the outer regions of turbulent boundary layers, 1977, Phy. of Fluids, 20, 124.Google Scholar
Goldshtik, M. A. and Schtern, F. N. Hydrodynamic Stability (in Russian), 1978.Google Scholar
Goldstein, M. E. Aeroacoustics (McGraw-Hill), 1976.Google Scholar
Head, M. and Bandyopadhyay, P. Flow visualisation of turbulent boundary layer structure AGARD Symposium Turbulent boundary layer—experiment, theory and modelling, 1979, AGARD-CP-271.Google Scholar
Head, M. R. and Bandyopadhyay, P. New aspects of turbulent boundary layer structure, 1981. JFM 107, 297.Google Scholar
Hodgson, T. H. Pressure fluctuations in shear flow turbulence, 1962. (PhD thesis University of London).Google Scholar
Howe, M. S. The generation of sound by aerodynamic sources in an inhomogeneous flow, 1975. JFM, 67, 597.Google Scholar
Iverson, J. D. Correlation of turbulent trailing vortex decay data, 1976. Journal of Aircraft, 13, 5.Google Scholar
Karman, von T. and Howarth, L. On the statistical theory of isotropic turbulence, 1938. Proc. Roy. Soc. A., 164, 192.Google Scholar
Kingsford, P. W. F. W. Lanchester: a life of an engineer, 1960. Arnold.Google Scholar
Kline, S. J. and Rundstadler, P. W. Some preliminary results of visual studies of wall layers of the turbulent boundary layer, 1959. J. Appl. Mech. 2, 122.Google Scholar
Kline, S. J., Reynolds, W. C., Schraub, F. A. and Runstadler, P. W. The structure of turbulence, 1967. JFM, 30, 741.Google Scholar
Kline, S. J., Morkovin, M. V., Sovran, G. and Cockrell, D. J. Proceedings Computation of Turbulent Boundary Layers, 1968, AFOSR-IFP-Stanford Conference Vol. I.Google Scholar
Kline, S. J., Cantwell, B. J. and Lilley, G. M. AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows: Comparison of Computation and Experiment Vol. I, II, III, 1980-81.Google Scholar
Kovasznay, L. S. G., Kibens, V. and Blackwelder, R. F. Large scale motion in the intermittent region of a boundary layer, 1970. JFM 41, 283.Google Scholar
Kuchemann, D. Aerodynamic Design of Aircraft, 1978. Pergamon.Google Scholar
Landahl, M. T. A wave-guide model turbulent shear flow. 1967. JFM, 29, 3.Google Scholar
Launder, B. E., Reece, G. J. and Rodi, W. 1975 Progress in the development of a Reynolds stress turbulence closure. JFM, 68, 537.Google Scholar
Lanchester, F. W. Aerodynamics, 1907. Constable. Aerodynamik (translation), 1909. Leipzig Berlin Teubner. Soaring of birds and possibilities of mechanical flight, 1894. Birmingham Natural History and Philosophical Society (unpublished). Revised version of the 1894 paper. Submitted to the Physical Society and rejected, 1897. The part played by skin friction in aeronautics, 1937. JRAeS, 41, 314 and 316. The flying machine from an engineering standpoint, James Forrest Lecture, 1914. Constable (1917).Google Scholar
Leonard, A. Vortex methods for flow simulation, 1980. J. Comput. Phys, 37. Vortex simulation of three-dimensional, spotlike disturbances in a laminar boundary layer, 1980. Turbulent Shear Flows 2. Ed. Bradbury, L. J. S. et al, Berlin, Springer.Google Scholar
Lilley, G. M. and Hodgson, T. H. On surface pressure fluctuations in turbulent boundary layers, 1960. AGARD Rep. 276.Google Scholar
Lilley, G. M., Morris, P. J. and Tester, B. J. Theory of jet noise and its applications. Aeroacoustics Ed. Nagamatsu, H. T.. 1975, 37, Progress in Aeronautics and Astronautics. Google Scholar
Lu, S. S. and Willmarth, W. W. Measurement of the Reynolds stress in a turbulent boundary layer, 1973. JFM 60, 481.Google Scholar
Malkus, M. V. R. 1961 Correction and granulation: ‘Aerodynamic phenomena in stellar atmosphere’, 1961. Ed. R. H. Thomas, Proc. IAU Sym. 12 Nuova Cimento Supple. 22.Google Scholar
Mani, R. A moving source problem relevant to jet noise, 1972. J. Sound Vib.,25, 2.Google Scholar
Marsden, D. J., Simpson, R. W. and Rainbird, W. J. 1958 The flow over delta wings at low speeds with leading edge separation, 1958. College of Aeronautics, Rep. 114.Google Scholar
Mason, W. H. and Marchman, J. F. III Far-field structure of aircraft wake turbulence, 1973. J. of Aircraft, 10.Google Scholar
McCormick, B. W., Tangier, J. L. and Sherrieb, , 1968 Structure of trailing vortices, 1968. J. of Aircraft, 5, 3.Google Scholar
Moin, P. and Kim, J. Numerical investigation of turbulent channel flow, 1982. JFM, 118, 341.Google Scholar
Morris, P. J. and Tam, C. K. W. Near and far-field noise from large-scale instabilities of axisymmetric jets, 1977. AIAA 4th Aeroacoustics Conference, 77-1351.Google Scholar
Morris, P. J. The structure of turbulent shear flow, 1972. PhD thesis, University of Southampton.Google Scholar
NASA Compressible Turbulent Boundary Layer Symposium, 1969.Google Scholar
NASA SP-216.Google Scholar
NASA Proc. NASA Free Shear Flow Symposium, 1973,1 NASA, SP-321.Google Scholar
Ng, D. N. A study of the mean flow structure of circular and rectangular exit turbulent jets initially at a small incidence to a uniform mainstream, PhD thesis, University of Southampton.Google Scholar
Orloff, K. L., Cliffone, D. L. and Lorinz, D. Airfoil wake vortex characteristics in the farfield, 1973. NASA TMX-62, 418.Google Scholar
Owen, P. R. 1970 The decay of a turbulent trailing vortex, 1970. Aero. Quarterly, 21, 69.Google Scholar
Prandtl, L. F. TragflugeltheorieGottingenNachrichten, 1918/1919. Bericht über Untersuchungen zur ausgebildeten turbulenz. Zeit. für Ang. Math und Mech, 1925, 5, 2.Google Scholar
Reynolds, O. An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous and the law of resistance in parallel channels, 1883. Phil. Trans. 174, 935.Google Scholar
Rogallo, R. S. Numerical experiments in homogeneous turbulence, 1981. NASA TM 81315.Google Scholar
Rose, R. and Dee, F. W. 1963 Aircraft vortex wakes and their effects on aircraft, 1963. ARC CP, 795.Google Scholar
Roshko, A. Structure of turbulent shear flows: a new look, 1976. AIAA Journal, 14, 10.Google Scholar
Schwarzschild, M. Photographs of the solar granulation taken from the stratosphere, 1959. Astrophy. J. 130, 345.Google Scholar
Schubert, G. and Corcos, G. M. The dynamics of turbulence near a wall according to a laminar model, 1967. JFM, 29, 113.Google Scholar
Sharma, R. The structure of turbulent shear flow, 1968. PhD thesis, University of Southampton.Google Scholar
Spalding, D. B. Theories of the turbulent boundry layer, 1967. Appl. Mechs. Rev. 20, 8.Google Scholar
Spillman, J. J. and Goodridge, M. 1972 Flow characteristics about a delta wing at a 15° incidence with and without leading edge blowing, 1972. College of Aeronautics Report 9.Google Scholar
Squire, H. B. The growth of a vortex in a turbulent flow, 1965. Aero Quarterly, 16, 3.Google Scholar
Tartaglione, J. J. An analysis of the Aircraft Trailing Vortex System, 1978. AIAA 14th Annual Meeting, 78.312.Google Scholar
Taylor, G. I. Statistical theory of turbulence I-IV, 1935. Proc. Roc. Soc. A, 151, 874.Google Scholar
Taylor, P., and Watkins, D. An investigation of inclined jets in a crosswind. 1982. AGARD Symposium Fluid Dynamics of Jets’ with Applications to V/STOL, AGARD-CP-308.Google Scholar
Tester, B. J. and Morfey, C. L. Developments in jet noise modelling and theoretical predictions and comparison with measured data. 1976. J. Sound and Vibration, 25, 337.Google Scholar
Townsend, A. A. Momentum and energy diffusion in the turbulent wake of a cylinder, 1949. Proc. Roy. Soc. A, 190, 551. 1956 The structure of turbulent shear flow, 1956. CUP (also 2nd ed. 1976). 1961 Equilibrium layers and wall turbulence, 1961. JFM, 11, 97. 1964 Natural convection in wake over an ice surface, 1964. Quart. J. Roy. Met. Soc. 90,248.Google Scholar
Van Dyke, M. An album of fluid motion, 1982. The Parabolic Press.Google Scholar
Verstynan, and Dunham, A flight investigation of the trailing vortex tenerated by a Jumbo Jet transport, 1973. NASA TN-D7172.Google Scholar
Westley, R. The optimum design of a vortex tube for achieving large temperature drop ratios, 1955. College of Aeronautics Note 30. Vortex tube performance data sheets, 1957. College of Aeronautics Note 67. A bibliography and survey of the vortex tube, 1954. College of Aeronautics Note 9.Google Scholar
Westwater, F. L. Rolling up of the surface of discontinuity behind an aerofoil of finite span, 1935. ARC R&M 1692.Google Scholar
Wheeler, D. I. Axial and tangential velocity decay in trailing vortices, 1978. PhD thesis, University of Southampton.Google Scholar
Williams, R. K. On the structure of penetrative convection and its relation to the solar granulation, 1973. PhD thesis, University of Southampton.Google Scholar
Willmarth, W. W. and Wooldridge, C. E. Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer, 1962. JFM, 14, 187.Google Scholar
Zhang, Z. A theoretical model of the coherent structure of a flat plate boundary layer, 1981. PhD thesis, University of Southampton.Google Scholar
Zhang, A. and Lilley, G. M. A theoretical model of the coherent structure of the turbulent boundary layer in zero pressure gradient. Turbulent Shear Flows 3. 3rd Int. Symposium of Turbulent Shear Flows, University of California, Davis. 1982. Springer-Verlag, Berlin, Heidelberg.Google Scholar