On the motion past thin airfoils of incompressible fluids with conductivity tensor
Author:
L. Dragos
Journal:
Quart. Appl. Math. 28 (1970), 313-325
DOI:
https://doi.org/10.1090/qam/99788
MathSciNet review:
QAM99788
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Abstract: This note is a study of the problem of the steady motion of an inviscid incompressible fluid past thin airfoils, the Hall effect being taken into account. The case of crossed fields (one of the most important in aerodynamics) is studied in detail. The results for the cases of aligned fields and Alfvén motion are also given. The general solution is represented by a continuous superposition of plane waves. The boundary conditions determine the solution by means of a Fredholm-type integral equation which may be solved with the aid of the method of successive approximations. If the parameter of the magneto-hydrodynamic interaction $\left ( S \right )$ is equal to zero, one obtains the known solution of classical aerodynamics. The equation is solved explicitly for Alfvén motion.
W. R. Sears and E. L. Resler, Jr., Magneto-hydrodynamic flow past bodies, Advances in Appl. Mech., vol. 8, Academic Press, New York, 1964, pp. 1–68
L. Dragos, Magnetodynamics of fluids, Publ. House Romanian Academy of Science, Bucharest, 1969
J. Y. T. Tang and H. Seebass, The effect of tensor conductivity on continuum magnetodynamic flows, Quart. Appl. Math. 26, 311–320 (1968)
L. Dragos, L’effet Hall dans l’écoulement des fluides en présence des profils minces, C. R. Acad. Sci. Paris Ser. A-B 267, A579 (1968)
L. Dragos, L’effet Hall dans l’écoulement des fluides compressibles en présence des profils minces, C. R. Acad. Sci. Paris Ser. A-B 269 (1969)
- L. Dragos, Hall effect on the motion of viscous fluids past the flat plate, Rev. Roumaine Math. Pures Appl. 15 (1970), 683–692. MR 270622
- Lazăr Dragos, Theory of thin airfoils in magnetohydrodynamics, Arch. Rational Mech. Anal. 13 (1963), 262–278. MR 157582, DOI https://doi.org/10.1007/BF01262696
I. M. Gel’fand and G. E. Šilov, Genralized functions. I: Operations on them, Fizmatgiz, Moscow, 1958; English transl., Academic Press, New York, 1964
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N. I. Mushelišvili, Singular integral equations, OGIZ, Moscow, 1946; English transl., Noordhoff, Groningen, 1953
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- Keith Stewartson, Magneto-fluid dynamics of thin bodies in oblique fields. II, Z. Angew. Math. Phys. 13 (1962), 242–255 (English, with German summary). MR 143440, DOI https://doi.org/10.1007/BF01601086
- Lazăr Dragos, La théorie de l’aile mince en magnétohydrodynamique. II, C. R. Acad. Sci. Paris 255 (1962), 1289–1290 (French). MR 143448
W. R. Sears and E. L. Resler, Jr., Magneto-hydrodynamic flow past bodies, Advances in Appl. Mech., vol. 8, Academic Press, New York, 1964, pp. 1–68
L. Dragos, Magnetodynamics of fluids, Publ. House Romanian Academy of Science, Bucharest, 1969
J. Y. T. Tang and H. Seebass, The effect of tensor conductivity on continuum magnetodynamic flows, Quart. Appl. Math. 26, 311–320 (1968)
L. Dragos, L’effet Hall dans l’écoulement des fluides en présence des profils minces, C. R. Acad. Sci. Paris Ser. A-B 267, A579 (1968)
L. Dragos, L’effet Hall dans l’écoulement des fluides compressibles en présence des profils minces, C. R. Acad. Sci. Paris Ser. A-B 269 (1969)
L. Dragos, The Hall effect on the motion of viscous fluids past the flat place, Rev. Roumain Math. Pures Appl. 15, (1970)
L. Dragos, Theory of thin airfoils in magnetohydrodynamics, Arch. Rational Mech. Anal. 13, 262–278 (1963)
I. M. Gel’fand and G. E. Šilov, Genralized functions. I: Operations on them, Fizmatgiz, Moscow, 1958; English transl., Academic Press, New York, 1964
C. Iacob, Introduction mathématique à la mécanique des fluides, Akad. Repub. Pop. Roumaine, Bucarest and Gauthier-Villars, Paris, 1959
N. I. Mushelišvili, Singular integral equations, OGIZ, Moscow, 1946; English transl., Noordhoff, Groningen, 1953
W. R. Sears and E. J. Resler, Jr., Theory of thin airfoils in fluids of high electrical conductivity, J. Fluid Mech. 5, 257–273 (1959)
K. Stewartson, Magneto-fluid dynamics of thin bodies in oblique fields. II, Z. Angew. Math. Phys. 13, 242–255 (1962)
L. Dragos, La théorie de l’aile mince en magnétohydrodynamique. I, II, C. R. Acad. Sci. Paris 265, 1251–1253; 1289–1290 (1962)
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Article copyright:
© Copyright 1970
American Mathematical Society
