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Wake flow past a plate with spoiler

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Summary

A simple finite wake model for free streamline flow past a split plate is considered. An inverse problem is solved analytically by Riemann-Hilbert techniques. Numerical results for drag/lift are compared with experimental data for spoilers and split flaps and with theoretical results by Elcrat & Wentz (1983). Wakes of zero drag and wake overpressure are discussed.

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Si studia un semplice modello a scia finita per l'analisi teorica di spoiler e split flap. Si risolve analiticamente un problema inverso mediante tecniche alla Riemann-Hilbert, e si confrontano i risultati numerici per la resistenza e la portanza con dati sperimentali e teorici dovuti a Elcrat & Wentz (1983). Viene messa in luce la presenza di scie con resistenza nulla e con sovrapressione.

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References

  1. N. J. Pfeiffer and G. W. Zumwalt,Computational Model for Low Speed Flows past Airfoils with Spoiler, AIAA Journal20, 376–382 (1982).

    Google Scholar 

  2. H. Schlichting and E. Truckenbrodt,Aerodynamics of the Airplane, McGraw-Hill, New York 1979.

    Google Scholar 

  3. G. Birkhoff and E. H. Zarantonello,Jets, Wakes, and Cavities, Academic Press, New York 1957.

    Google Scholar 

  4. M. Gurevich,The Theory of Jets in an Ideal Fluid, Pergamon Press, New York 1966.

    Google Scholar 

  5. A. R. Elcrat,Separated Flow Past a Plate with Spoiler, SIAM J. Math. Anal.13, 632–639 (1982).

    Google Scholar 

  6. A. R. Elcrat and W. H. Wentz, Jr.,Forces on a Split Plate (Airfoil with Spoiler) Obtained by Conformal Mapping of the Hodograph, submitted to the J. Fluid Mech. (October 1983).

  7. P. Bassanini,A Nonlinear Model for Fully and Partially Cavitating Flows, J. Appl. Math. Phys. (ZAMP)21, 754–767 (1970).

    Google Scholar 

  8. T. Y. -T. Wu,A Wake Model for Free Streamline Theory, J. Fluid Mech.13, 161–181 (1962).

    Google Scholar 

  9. P. Bassanini and A. Guspini,Un programma di calcolo per un modello di flusso con scia per un profilo con spoiler, Pubblicazioni IAC (Istituto per le Applicazioni del Calcolo, Roma), Serie III, Quaderno n. 152, Roma 1983.

  10. B. E. Larock and R. L. Street,A Riemann-Hilbert Problem for Nonlinear Fully Cavitating Flows, J. Ship Res.9, 170–178 (1965).

    Google Scholar 

  11. H. K. Cheng and N. Rott,Generalizations of the Inversion Formula of Thin Airfoil Theory, J. Rat. Mech. Anal.3, 357–382 (1954).

    Google Scholar 

  12. F. D. Gakhov,Boundary Value Problems, Pergamon Press, New York 1966.

    Google Scholar 

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Bassanini, P. Wake flow past a plate with spoiler. Z. angew. Math. Phys. 35, 658–670 (1984). https://doi.org/10.1007/BF00952111

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  • DOI: https://doi.org/10.1007/BF00952111

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