NDLI: New Theory of Flight

Content Provider	Springer Nature Link
Author	Jansson, Johan Hoffman, Johan Johnson, Claes
Copyright Year	2015
Abstract	We present a new mathematical theory explaining the fluid mechanics of subsonic flight, which is fundamentally different from the existing boundary layer-circulation theory by Prandtl–Kutta–Zhukovsky formed 100 year ago. The new theory is based on our new resolution of d’Alembert’s paradox showing that slightly viscous bluff body flow can be viewed as zero-drag/lift potential flow modified by 3d rotational slip separation arising from a specific separation instability of potential flow, into turbulent flow with nonzero drag/lift. For a wing this separation mechanism maintains the large lift of potential flow generated at the leading edge at the price of small drag, resulting in a lift to drag quotient of size 15–20 for a small propeller plane at cruising speed with Reynolds number $${Re\approx 10^{7}}$$ and a jumbojet at take-off and landing with $${Re\approx 10^{8}}$$ , which allows flight at affordable power. The new mathematical theory is supported by computed turbulent solutions of the Navier–Stokes equations with a slip boundary condition as a model of observed small skin friction of a turbulent boundary layer always arising for $${Re > 10^{6}}$$ , in close accordance with experimental observations over the entire range of angle of attacks including stall using a few millions of mesh points for a full wing-body configuration.
Ending Page	241
Page Count	23
Starting Page	219
File Format	PDF
ISSN	14226928
e-ISSN	14226952
Journal	Journal of Mathematical Fluid Mechanics
Issue Number	2
Volume Number	18
Language	English
Publisher	Springer International Publishing
Publisher Date	2015-10-23
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	lift theory Mathematical Methods in Physics Fluid- and Aerodynamics Stability and instability of nonparallel flows Flight d’Alembert’s paradox General aerodynamics and subsonic flows Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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