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The classical theory of lift is confined to sharp edged airfoils. The search for a more general closure condition in potential flow remained elusive for over a century. Recently, a variational theory of lift, inspired by Gauss's principle…

Fluid Dynamics · Physics 2026-01-13 Haithem Taha

This paper presents a novel modeling approach for unsteady aircraft airflow, leveraging the Lorenz attractor framework. The proposed model is based on the force distribution exerted by a lift-generating wing on the surrounding fluid. It…

Fluid Dynamics · Physics 2026-03-09 Marcel Menner , Eugene Lavretsky

This study reports on the vortex-induced lift production mechanisms in low Reynolds number flows over low aspect-ratio rectangular wings. We use a rigorous force partitioning method which allows for the estimation of the pressure-induced…

Fluid Dynamics · Physics 2022-11-22 Karthik Menon , Sushrut Kumar , Rajat Mittal

Combined pitching-and-surging of an airfoil at the identical frequency (i.e., synchronously), at four different phase-differences, was investigated theoretically and experimentally. The most general unsteady theoretical formulation was…

Fluid Dynamics · Physics 2025-04-23 C. Strangfeld , H. F. Müller-Vahl , C. N. Nayeri , C. O. Paschereit , D. Greenblatt

In this paper, we revive a special, less-common, variational principle in analytical mechanics (Hertz' principle of least curvature) to develop a novel variational analogue of Euler's equations for the dynamics of an ideal fluid. The new…

Fluid Dynamics · Physics 2021-10-19 Cody Gonzalez , Haithem E. Taha

Stretching and retracting wingspan has been widely observed in the flight of birds and bats, and its effects on the aerodynamic performance particularly lift generation are intriguing. The rectangular flat-plate flapping wing with a…

Fluid Dynamics · Physics 2021-05-12 Shizhao Wang , Xing Zhang , Guowei He , Tianshu Liu

When an elastic object is dragged through a viscous fluid tangent to a rigid boundary, it experiences a lift force perpendicular to its direction of motion. An analogous lift mechanism occurs when a rigid symmetric object translates…

Fluid Dynamics · Physics 2018-08-22 Abdallah Daddi-Moussa-Ider , Bhargav Rallabandi , Stephan Gekle , Howard A. Stone

Drawing inspiration from the adaptive wing shape of birds in flight, this study introduces a bio-inspired concept for shape adaptation utilizing bend-twist coupling (BTC) in composite laminates. The primary aim of the design optimization is…

Fluid Dynamics · Physics 2025-05-30 Rahul Kumar , Devranjan Samanta , Srikant S. Padhee

Forward-swept wings offer unique advantages in the aerodynamic performance of air vehicles. However, the low-Reynolds-number characteristics of such wings have not been explored in the past. In this work, we numerically study laminar…

Fluid Dynamics · Physics 2021-09-21 Kai Zhang , Kunihiko Taira

The plane Poiseuille flow is one of the elementary flow configurations. Although its laminar-turbulent transition mechanism is investigated intensively in the last century, the significant difference in the critical Reynolds number between…

Fluid Dynamics · Physics 2021-09-27 Péter Tamás Nagy

This paper is intended to clarify some of the rather well-known aerodynamic phenomena. It is also intended to pique the interest of the layman as well as the professional. All aerodynamic forces on a surface are caused by collisions of…

Chaotic Dynamics · Physics 2022-03-29 Charles A. Crummer

We study the role of unsteady lift in the context of flapping wings in birds' flight. Both aerodynamicists and biologists attempt to address this subject, yet it seems that the contribution of the unsteady lift still holds many open…

A novel non-reactive thrust principle based on controlling the angular momentum of a material body is proposed. Theoretically, it is shown that asymmetric emission/absorption of low-energy particle fluxes with spin in a direction…

Popular Physics · Physics 2025-10-28 Yury N. Razoumny , Sergei A. Kupreev

An airplane flying at constant speed and altitude is an example of physics invisible to the pilots and passengers, but visible to remote observers and manifest in the mathematics. The optimum flight path is an arc of a Great Circle,…

Popular Physics · Physics 2021-06-08 John P. Boyd

The planar laminar flow resulting from the impingement of two gaseous jets of different density issuing into an open space from aligned steadily fed slot nozzles of semi-width $R$ separated a distance $2H$ is investigated by numerical and…

Fluid Dynamics · Physics 2022-02-15 A. D. Weiss , W. Coenen. A. L. Sánchez

An analytic model is proposed for non-radiating accretion flows accompanied by up or down winds in a global magnetic field. Physical quantities in this model solution are written in variable-separated forms, and their radial parts are…

Astrophysics · Physics 2009-11-07 Osamu Kaburaki

A comprehensive and detailed overview of the flow topology over a cambered NACA 65(1)-412 airfoil at Re = 20,000 is presented for angles of attack ranging from 0{\deg} to 10{\deg} using high-order direct numerical simulations. It is shown…

Fluid Dynamics · Physics 2021-08-12 Bjoern F. Klose , Geoffrey R. Spedding , Gustaaf B. Jacobs

Recently, an unusual scaling law has been observed in circular hydraulic jumps and has been attributed to a supposed missing term in the local energy balance of the flow [\cite{bhagat_2018}]. In this paper, we show that - though the…

Fluid Dynamics · Physics 2022-03-14 Alexis Duchesne , Laurent Limat

The unsteady lift of a high-angle-of-attack, flat-plate wing encountering finite-length obstacles is studied using towing-tank force measurements. The wing translates from rest and interacts with a rectangular channel, ceiling, or ground…

Fluid Dynamics · Physics 2023-10-16 Karan A. Shah , Matthew J. Ringuette

We consider Prandtl's 1933 model for calculating circulation distribution function $\Gamma$ of a finite wing which minimizes induced drag, under the constraints of prescribed total lift and moment of inertia. We prove existence of a global…

Analysis of PDEs · Mathematics 2024-01-31 Wojciech Ożański
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