Bibliography for the Joukowski transformation and Airfoils

unabridged

 

  1. Instability of the flow in the vicinity of trailing edge of a class of thin aerofoils
    Turkyilmazoglu M.
    Computers and Fluids, March 2003, vol. 32, no. 3, pp. 353-371(19), Ingenta.   
  2. Flow in the vicinity of the trailing edge of Joukowski-type profiles
    Turkyilmazoglu M.
    Proceedings: Mathematical, Physical & Engineering Sciences, 8 July 2002, vol. 458, no. 2023, pp. 1653-1672(20), Ingenta.   
  3. Discontinuous Spectral Element Solution of Acoustic Radiation from Thin Airfoils
    Rasetarinera P.; Kopriva D. A.; Hussaini M. Y.
    AIAA Journal, 1 November 2001, vol. 39, no. 11, pp. 2070-2075(6), Ingenta.   
  4. Singularities in BIEs for the Laplace equation; Joukowski trailing-edge conjecture revisited
    Morino L.; Bernardini G.
    Engineering Analysis with Boundary Elements, October 2001, vol. 25, no. 9, pp. 805-818(14), Ingenta.   
  5. Modern Adaptation of Prandtl's Classic Lifting-Line Theory
    Phillips W. F.; Snyder D. O.
    Journal of Aircraft, 1 July 2000, vol. 37, no. 4, pp. 662-670(9), Ingenta.   
  6. A boundary node method for airfoils based on the Dirichlet condition
    Hwang W.S.
    Computer Methods in Applied Mechanics and Engineering, 22 December 2000, vol. 190, no. 13, pp. 1679-1688(10), Ingenta.   
  7. Simulation Of The Flow Over Elliptic Airfoils Oscillating At Large Angles Of Attack
    Akbari M.H.; Price S.J.
    Journal of Fluids and Structures, August 2000, vol. 14, no. 6, pp. 757-777(21), Ingenta.    
  8. On the treatment of the Kutta-Joukowski condition in transonic flow computations.
    Coclici, C. A.; Wendland, W. L.
    Zamm Z. Angew. Math. Mech. 79 (1999), no. 8, 507--534, MathSciNet.  
  9. Numerical Simulation of the Effect of a Moving Wall on Separation of Flow Past a Symmetrical Aerofoil
    Chew Y. T; Pan L. S; Lee T. S
    Proceedings of the I MECH E Part A Journal of Power and Energy, 2 February 1998, vol. 212, no. 1, pp. 69-77(9), Ingenta.    
  10. A potential based panel method for 2-D hydrofoils
    Bal S.
    Ocean Engineering, August 1998, vol. 26, no. 4, pp. 343-361(19), Ingenta.    
  11. Numerical Solution of the Generalized Airfoil Equation for an Airfoil with a Flap  
    G. Monegato; I. H. Sloan  
    SIAM Journal on Numerical Analysis, Vol. 34, No. 6. (Dec., 1997), pp. 2288-2305, Jstor.  
  12. Aeroelastic Sensitivity Analysis of Wings
    Issac J.C.; Kapania R. K.
    AIAA Journal, 1 March 1997, vol. 35, no. 3, pp. 519-525(7), Ingenta.    
  13. Fluid dynamics in the works of N. E. Joukowski [Zhukovskiui] (on the 150th anniversary of his birth 5(17).01.1847).
    Stepanov, G. Yu.
    Fluid Dynam. 32 (1997), no. 2, 161--172; translated from Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza 1997, , no. 2, 3--18(Russian), MathSciNet.  
  14. Transonic Flow Around Optimum Critical Airfoils  
    Zvi Rusak  
    SIAM Journal on Applied Mathematics, Vol. 55, No. 5. (Oct., 1995), pp. 1455-1467, Jstor.  
  15. Boundary-layer control by heat and mass transfer
    Hubbard S.; Riley N.
    International Journal of Heat and Mass Transfer, November 1995, vol. 38, no. 17, pp. 3209-3217(9), Ingenta.    
  16. Novel Similarity Solutions of the Sonic Small-Disturbance Equation with Applications to Airfoil Transonic Aerodynamics  
    Z. Rusak  
    SIAM Journal on Applied Mathematics, Vol. 54, No. 2. (Apr., 1994), pp. 285-308, Jstor.  
  17. On two new functional equations for generalized Joukowski transformations.
    Baran, M.; Haruki, H.
    Ann. Polon. Math. 56 (1991), no. 1, 79--85, MathSciNet.  
  18. A Functional Equation for the Joukowski Transformation  
    Miroslaw Baran  
    Proceedings of the American Mathematical Society, Vol. 106, No. 2. (Jun., 1989), pp. 423-426, Jstor.  
  19. On Some Numerical Schemes for Transonic Flow Problems  
    Marco Mosche Mostrel  
    Mathematics of Computation, Vol. 52, No. 186. (Apr., 1989), pp. 587-613, Jstor.  
  20. On an extension of the Kutta-Joukowski theorem to the supersonic regime.
    Jadic, I.
    Rev. Roumaine Sci. Tech. Sér. Méc. Appl. 34 (1989), no. 6, 603--609, MathSciNet.  
  21. A New Look at Theodorsen's Method in Aerofoil Theory  
    Bera, Rajendra K.  
    Int. J. for Numerical Methods in Fluids, (1989), Vol. 9, pp. 251-262.
  22. Wind-tunnel wall corrections on a two-dimensional plate by conformal mapping  
    D'Appen, Heinz  
    AIAA J., (1987), V. 25, pp. 1527-3015.
  23. Écoulements de Stokes autour de profils placés en atmosphère infinie et présentant une ou deux pointes. Condition de Kutta-Joukowski généralisée. (French) [Stokes flows around profiles set in unbounded atmosphere and presenting one or two corners. The generalized Kutta-Joukowski condition]
    Pogu, Marc; Tournemine, Georges J. Méc. Théor. Appl. 6 (1987), no. 1, 89--119, MathSciNet.  
  24. A new functional equation characterizing generalized Joukowski transformations.
    Haruki, Hiroshi
    Aequationes Math. 32 (1987), no. 2-3, 327--335, MathSciNet.  
  25. The Stabilization Law for Transonic Flow  
    L. Pamela Cook; F. J. Zeigler  
    SIAM Journal on Applied Mathematics, Vol. 46, No. 1. (Feb., 1986), pp. 27-48, Jstor.  
  26. Transonic panel method for the full potential equation applied to multicomponent airfoils  
    Oskam, B.  
    AIAA J., (1985, V. 23, pp. 1327-1334.
  27. A functional equation arising from the Joukowski transformation.
    Haruki, Hiroshi
    Ann. Polon. Math. 45 (1985), no. 2, 185--191, MathSciNet.  
  28. Équations de Navier-Stokes et condition de Kutta-Joukowski généralisée. (French) [Navier-Stokes equations and the generalized Kutta-Zhukovskii condition]
    Pogu, Marc; Tournemine, Georges
    C. R. Acad. Sci. Paris Sér. I Math. 300 (1985), no. 20, 703--706, MathSciNet.  
  29. Une classe de problèmes aux limites avec condition de Kutta-Joukowski généralisée et associée au bilaplacien. (French) [Boundary value problems with a generalized Kutta-Joukowski condition connected with biharmonic equations]
    Pogu, Marc; Tournemine, Georges
    C. R. Acad. Sci. Paris Sér. I Math. 299 (1984), no. 6, 189--192, MathSciNet.  
  30. Aerofoil-Vortex in a Rotational and Strained Field  
    J. Burbea  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 390, No. 1798. (Nov. 8, 1983), pp. 181-189, Jstor.
  31. The Two-Dimensional Oscillating Airfoil: A New Implementation of the Galerkin Method  
    William F. Moss  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 2. (Apr., 1983), pp. 391-399, Jstor.  
  32. A type of equipotential lines related to Joukowski's profile.
    Gabr, M.-K.
    Proc. Indian Nat. Sci. Acad. Part A 49 (1983), no. 6, 632--636, MathSciNet.  
  33. On Oscillatory Flows  
    Sacksteder, Richard C.  
    Math. Intell., (1978), V. 1, No. 1, pp. 45- 51.
  34. Sur la régularité d'écoulements plans, stationnaires et subcritiques autour d'un profil à pointe: ajustement de la circulation pour satisfaire la condition de Kutta-Joukowski. (French)
    Ciavaldini, Jean-François; Pogu, Marc; Tournemine, Georges
    C. R. Acad. Sci. Paris Sér. A-B 285 (1977), no. 4, A297--A300, MathSciNet.  
  35. Modern Developments in Transonic Flow  
    Julian D. Cole  
    SIAM Journal on Applied Mathematics, Vol. 29, No. 4. (Dec., 1975), pp. 763-787, Jstor.  
  36. The extended Kutta-Joukowski theorem for a two dimensional cylinder in a viscous stream.
    Lavie, A. M.
    Israel J. Tech. 13 (1975), no. 4, 237--245, MathSciNet.  
  37. The Motion of a Vortex Filament with Axial Flow  
    D. W. Moore; P. G. Saffman  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 272, No. 1226. (Jul. 13, 1972), pp. 403-429, Jstor.  
  38. Aerodynamic Behaviour of Bodies in the Wakes of other Bodies (in Wind Effects on Buildings and other Structures)  
    W. A. Mair; D. J. Maull  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 269, No. 1199, A Discussion on Architectural Aerodynamics. (May 13, 1971), pp. 425-437, Jstor.  
  39. A New Approach to the Calculation of Transonic Flows  
    J. C. Crown  
    SIAM Journal on Applied Mathematics, Vol. 20, No. 4. (Jun., 1971), pp. 677-697, Jstor.  
  40. On Numerical Calculation of Transonic Flow Patterns  
    S. Bergman; J. G. Herriot; T. G. Kurtz  
    Mathematics of Computation, Vol. 22, No. 101. (Jan., 1968), pp. 13-27, Jstor.  
  41. On the Kutta-Joukowski Condition in Magneto-Fluid Dynamics  
    K. Stewartson  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 277, No. 1368. (Jan. 7, 1964), pp. 107-124, Jstor.  
  42. On the Kutta-Joukowski condition in magnetohydrodynamics.
    Kusukawa, Ken-ichi
    J. Phys. Soc. Japan 19 1964 1031--1041, MathSciNet.  
  43. On the Kutta-Joukowski condition in magneto-fluid dynamics.
    Stewartson, K.
    Proc. Roy. Soc. Ser. A 277 1964 107--124, MathSciNet.  
  44. A study of the oscillations of the Froude-Joukowski pendulum considering the Coulomb friction. (Russian)
    Tabueva, V. A.
    Sibirsk. Mat. Z. 4 1963 377--390, MathSciNet.  
  45. The Circular Wing and Related Problems  
    H. C. Levey; P. E. Wynter  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 268, No. 1334. (Jul. 24, 1962), pp. 390-404, Jstor.  
  46. The Aerodynamic Theory of Sails. I. Two-Dimensional Sails  
    B. Thwaites  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 261, No. 1306. (May 16, 1961), pp. 402-422, Jstor.  
  47. Détermination de la seconde approximation dans l'éoulement compressible subsonique en présence d'un profil symétrique de Joukowski. (Romanian)
    Iacob, Caius
    Com. Acad. R. P. Romîne 11 1961 901--907, MathSciNet.  
  48. Theory of a Thin Wing in a Shear Flow  
    M. Honda  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 254, No. 1278. (Feb. 23, 1960), pp. 372-394, Jstor.  
  49. Resistance in potential flow with circulation. II. Symmetrical Carafoli and Joukowski aerofoils.
    Ghosh, N. L.; Chatterjee, H. K.
    Proc. Nat. Inst. Sci. India Part A 26 1960 626--641, MathSciNet.  
  50. Uniqueness and the Force Formulas for Plane Subsonic Flows  
    Robert Finn; David Gilbarg  
    Transactions of the American Mathematical Society, Vol. 88, No. 2. (Jul., 1958), pp. 375-379, Jstor.  
  51. Generalized Aerofoil Theory  
    L. C. Woods  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 238, No. 1214. (Jan. 8, 1957), pp. 358-388, Jstor.  
  52. The Aerodynamic Forces on an Aerofoil in Non-Uniform Unsteady Motion in a Closed Tunnel  
    S. Rosenblat  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 250, No. 977. (Oct. 17, 1957), pp. 247-278, Jstor.  
  53. Aerodynamic Forces on an Oscillating Aerofoil Fitted with a Spoiler  
    L. C. Woods  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 239, No. 1218. (Mar. 12, 1957), pp. 328-337, Jstor.  
  54. Berechnung der Unterschallströmung um ein symmetrisches Joukowski-Profil mit Hilfe eines Variationsproblems. (German)
    Gispert, Hans-Günter
    Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg. Math.-Nat. Reihe 6 1956/1957 803--806, MathSciNet.  
  55. The Aerodynamic Forces on an Oscillating Aerofoil in a Free Jet  
    L. C. Woods  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 229, No. 1177. (Apr. 21, 1955), pp. 235-250, Jstor.  
  56. Unsteady Plane Flow Past Curved Obstacles with Infinite Wakes  
    L. C. Woods  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 229, No. 1177. (Apr. 21, 1955), pp. 152-180, Jstor.  
  57. On Unsteady Flow through a Cascade of Aerofoils  
    L. C. Woods  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 228, No. 1172. (Feb. 15, 1955), pp. 50-65, Jstor.  
  58. The Lift and Moment Acting on a Thick Aerofoil in Unsteady Motion  
    L. C. Woods  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 247, No. 925. (Nov. 4, 1954), pp. 131-162, Jstor.  
  59. Iteration der Joukowski-Abbildung und ihre Streckenkomplexe. (German)
    Pratje, Ilse
    Mitt. Math. Sem. Giessen 1954, (1954). no. 48, i+54 pp., MathSciNet.  
  60. The lift on the symmetrical Joukowski aerofoil in a stream bounded by a plane wall.
    Fujikawa, Hiroomi
    J. Phys. Soc. Japan 9, (1954). 233--239, MathSciNet.  
  61. A Transformation of the Hodograph Equation and the Determination of Certain Fluid Motions  
    T. M. Cherry  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 245, No. 904. (Apr. 22, 1953), pp. 583-624, Jstor.  
  62. Généralisation de la formule de Kutta et Joukowski aux grilles d'ailes en fluide réel incompressible. (French)
    Jaumotte, André
    Acad. Roy. Belgique. Bull. Cl. Sci. (5) 38, (1952). 1158--1162, MathSciNet.  
  63. I profili di Joukowski a punta arrotondata. (Italian)
    Cunsolo, Dante
    Aerotecnica 32, (1952). 20--24, MathSciNet.  
  64. The extension to a two-dimensional subsonic flow of the Joukowski force of ideal fluid theory.
    Ludford, G. S. S.
    Proceedings of the First U. S. National Congress of Applied Mechanics, Chicago, 1951, pp. 715--721. The American Society of Mechanical Engineers, New York, N. Y., 1952, MathSciNet.  
  65. The forces acting on an aerofoil of approximate Joukowski type in a stream bounded by a plane wall.
    Tomotika, S.; Hasimoto, Z.; Urano, K.
    Quart. J. Mech. Appl. Math. 4, (1951). 289--307, MathSciNet.  
  66. Generalization of Joukowski formula to an airfoil of a cascade in compressible gas stream with subsonic velocities.
    Loitsianskii, L. G.
    Tech. Memos. Nat. Adv. Comm. Aeronaut., 1951, (1951). no. 1304, 16 pp., MathSciNet.  
  67. A generalization of Joukowski's formula for profiles in a lattice in a gas flow at subsonic velocity. (Russian)
    Louicyanskiui, L. G.
    Akad. Nauk SSSR. Prikl. Mat. Meh. 13, (1949). 209--216, MathSciNet.  
  68. Two-Dimensional Transonic Flow Patterns  
    Stefan Bergman  
    American Journal of Mathematics, Vol. 70, No. 4. (Oct., 1948), pp. 856-891, Jstor.  
  69. Two-Dimensional Subsonic Flows of a Compressible Fluid and Their Singularities  
    Stefan Bergman  
    Transactions of the American Mathematical Society, Vol. 62, No. 3. (Nov., 1947), pp. 452-498, Jstor.  
  70. Linearized Supersonic Aerofoil Theory. Part I  
    J. C. Gunn  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 240, No. 820. (Dec. 9, 1947), pp. 327-355, Jstor.  
  71. On the Equation of Joukowski's Aerofoils (in Discussions and Notes)  
    J. D. Mancill; Betty Thomas  
    American Mathematical Monthly, Vol. 53, No. 3. (Mar., 1946), pp. 147-149, Jstor.  
  72. A remark on the rectification of the Joukowski profile.
    Saltzer, Charles
    Quart. Appl. Math. 4, (1946). 196--199, MathSciNet.  
  73. Estensione di un teorema di Joukowski al caso di un sistema olonomo, a vincoli indipendenti dal tempo e con n gradi di libertà. (Italian)
    Pignedoli, Antonio
    Atti. Soc. Nat. Mat. Modena (6) 76, (1945). 94--102, MathSciNet.  
  74. On the Use of Conformal Mapping in Shaping Wing Profiles  
    R. S. Burington  
    American Mathematical Monthly, Vol. 47, No. 6. (Jun. - Jul., 1940), pp. 362-373, Jstor.  
  75. The Effect of Rotation upon the Lift and Moment of a Joukowski Aerofoil  
    W. G. Bickley  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 127, No. 804. (Apr. 1, 1930), pp. 186-196.

 

   Return to the Complex Analysis Project

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003