The universal steady lift and drag theory and the physical origin of lift

WU Jiezhi; LIU Luoqin; LIU Tianshu

doi:10.6052/1000-0992-20-014

Volume 51 Issue 1

Mar. 2021

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WU Jiezhi, LIU Luoqin, LIU Tianshu. The universal steady lift and drag theory and the physical origin of lift[J]. Advances in Mechanics, 2021, 51(1): 106-129. doi: 10.6052/1000-0992-20-014

Citation:

WU Jiezhi, LIU Luoqin, LIU Tianshu. The universal steady lift and drag theory and the physical origin of lift[J]. Advances in Mechanics, 2021, 51(1): 106-129. doi: 10.6052/1000-0992-20-014

WU Jiezhi, LIU Luoqin, LIU Tianshu. The universal steady lift and drag theory and the physical origin of lift[J]. Advances in Mechanics, 2021, 51(1): 106-129. doi: 10.6052/1000-0992-20-014

Citation:

WU Jiezhi, LIU Luoqin, LIU Tianshu. The universal steady lift and drag theory and the physical origin of lift[J]. Advances in Mechanics, 2021, 51(1): 106-129. doi: 10.6052/1000-0992-20-014

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The universal steady lift and drag theory and the physical origin of lift

doi: 10.6052/1000-0992-20-014

WU Jiezhi¹,
LIU Luoqin^{2,*
,
,},
LIU Tianshu³

¹ Peking University, Beijing 100871, China
² University of Twente, 7500 AE Enschede, The Netherlands
³ Western Michigan University, Kalamazoo, MI 49008, USA

More Information

Corresponding author: LIU Luoqin
Received Date: 2020-06-05
Publish Date: 2021-03-25

Abstract

Abstract

Since the birth of modern aerodynamics, various theories on lift and drag have been developed and validated extensively in aeronautical applications. However, the far-field force theory had long remained at low-speed incompressible flow. Based on the analytical solutions of the linearized Navier-Stokes equations in the steady far field, the authors and their collaborators extended the classic Kutta-Joukowski lift theorem to both two- and three-dimensional viscous and compressible flows, and thus filled the long-standing gap in theoretical aerodynamics. Why can the simple formulas based on linearized approximation still be accurately valid for highly nonlinear complex flows? This issue of great interest involves the methodological characteristics and physical mechanism behind the unified force theory and is the first task of this article. Moreover, there has been an abnormal phenomenon regarding the physical origin of lift that, despite the already mature and fully verified rigorous lift theory, various different hypotheses still keep surfacing frequently in various nonscientific publications and media. This indicates that the issue is really complicated and has not been thoroughly clarified in textbooks, monographs, and classrooms around the world. Now, the universality and high conciseness of the unified theory enable one to reach a clear answer to this issue by rigorous logical arguments in the most direct way. This is the second task of this article.
- theoretical aerodynamics,
- lift,
- circulation,
- Kutta condition,
- viscous flow

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References(55)

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