Minimum drag shape bodies moving in inviscid fluid – revisite

• Autorzy: Tesch K. , Kaczorowska K.
• Języki publikacji: EN

Abstrakty

EN

This paper presents the classic approach to minimum drag shape body problem, moving at hypersonic speeds, leading to famous power law shapes with value of the exponent of 3 4. Twoand three-dimensional cases are considered. Furthermore, an exact pseudo solution is given and its uselessness is discussed. Two new solutions are introduced, namely an approximate solution due to form of the functional and solution by means of optimisation of a Bézier curve. The former transforms the variational problem to the classic problem of function optimisation by assuming certain class of functions, whereas the latter by means of discretised functional.

Słowa kluczowe

EN

minimum drag; variational calculus; optimisation

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN
• Czasopismo: Transactions of the Institute of Fluid-Flow Machinery
• Rocznik: 2017
• Tom: nr 135
• Strony: 73--85
• Opis fizyczny: Bibliogr. 10 poz., rys., tab.

Twórcy

autor

Tesch K.

• Gdańsk University of Technology Fluid Mechanics Department G. Narutowicza 11/12 80-233 Gdańsk

autor

Kaczorowska K.

• Gdańsk University of Technology Fluid Mechanics Department G. Narutowicza 11/12 80-233 Gdańsk

Bibliografia

• [1] Anderson J.D.: Modern Compressible Flow: With Historical Perspective. McGraw-Hill, New York 1990.
• [2] Eggers A.J., Besnikoff M.M. Jr., Dennis D.H.: Bodies of revolution having minimum drag at high supersonic airspeeds. NACA Rep. 1306, 1957.
• [3] Elsgolc L.D.: Calculus of Variations. Dover Publications, New York 2007.
• [4] Epstein P.S.: On the air resistance of projectiles. Proc. Nat. Acad. Sci. USA, 17(1931), 9, 532–547.
• [5] Grodzovskii G.L.: Bodies of revolution with minimal drag coefficient and low heat transfer at high supersonic speeds. Fluid Dyn. 3(1968), 5, 52–58.
• [6] Michalewicz Z.: Genetic Algorithms + Data Structures = Evolution Programs. Springer Verlag, Berlin, Heidelberg, New York 1996.
• [7] Newton I.: Principa–Motte’s Translation Revised. Univer. California Press, 1946.
• [8] Peckham D.H.: Measurements of Pressure Distribution and Shock-Wave Shape on PowerLaw Bodies at a Mach Number of 6.85. Aeronautical Res. Co. Tech. Rep., C.P. 871, London 1967
• [9] Storn R., Price K.: Differential evolution – A simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11(1997), 4, 341–359.
• [10] Tesch K.: Fluid Mechanics. Gdańsk University of Technology Press, Gdańsk 2008 (in Polish).

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)