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We establish the existence and uniqueness of the transonic shock solution for steady isentropic Euler system with an external force in a rectangular cylinder under the three-dimensional perturbations for the incoming supersonic flow, the…

Analysis of PDEs · Mathematics 2024-03-26 Shangkun Weng , Zihao Zhang , Yan Zhou

A novel route to instabilities and turbulence in fluid and plasma flows is presented in kinetic Vlasov-Maxwell model. New kind of flow instabilities is shown to arise due to the availability of new kinetic energy sources which are absent in…

Plasma Physics · Physics 2015-06-19 Dhurjati Prasad Datta , Sudip Sen

A sequence of three steady - oscillatory transitions of buoyancy convection of air in a laterally heated cube with perfectly thermally insulated horizontal and spanwise boundaries is studied. The problem is treated by Newton and Arnoldi…

Fluid Dynamics · Physics 2022-10-18 Alexander Gelfgat

Flows forced by a precessional motion can exhibit instabilities of crucial importance, whether they concern the fuel of a flying object or the liquid core of a telluric planet. So far, stability analyses of these flows have focused on the…

Fluid Dynamics · Physics 2021-01-27 R. Lagrange , P. Meunier , C. Eloy

This paper concerns the dynamic stability of the steady 3-D wave structure of a planar normal shock front intersecting perpendicularly to a planar solid wall for unsteady potential flows. The stability problem can be formulated as a free…

Analysis of PDEs · Mathematics 2021-08-23 Beixiang Fang , Feimin Huang , Wei Xiang , Feng Xiao

Flow control for turbulent skin-friction drag reduction is applied to a transonic airfoil to improve its aerodynamic performance. The study is based on direct numerical simulations (with up to 1.8 billions cells) of the compressible…

The present study employs a linear global stability analysis to investigate buoyancy-induced flickering of axisymmetric laminar jet diffusion flames as a hydrodynamic global mode. The instability-driving interactions of the buoyancy force…

Fluid Dynamics · Physics 2019-12-10 D. Moreno-Boza , W. Coenen , A. Sevilla , J. Carpio , A. L. Sánchez , A. Liñán

Rotor blades of wind turbines in the atmospheric boundary layer regularly experience the aerodynamic phenomenon of dynamic stall consisting of a temporary overshoot of lift and detrimental fatigue loads. Particularly the formation of…

Spatial linear instability analysis is employed to investigate the instability of a viscoelastic liquid jet in a co-flowing gas stream. The theoretical model incorporates a non-uniform axial base profile represented by a hyperbolic tangent,…

Fluid Dynamics · Physics 2026-03-03 Jiawei Li , Ming Wang , Kai Mu , Zhaodong Ding , Ting Si

Unsteady thin-aerofoil theory is a low-order method for solving potential-flow aerodynamics on a camber-line undergoing arbitrary motion. In this method, a Kutta condition must be applied at the trailing edge to uniquely specify the net…

Fluid Dynamics · Physics 2022-05-19 Kiran Ramesh

This study seeks to characterise the breakdown of the steady 2D solution in the flow around a 180-degree sharp bend to infinitesimal 3D disturbances using a linear stability analysis. The stability analysis predicts that 3D transition is…

Fluid Dynamics · Physics 2017-08-30 Azan M. Sapardi , Wisam K. Hussam Alban Pothérat , Gregory J. Sheard

The wake of a body moving across the isopycnals of a strongly stratified fluid is characterized by the presence of an intense jet which, under certain circumstances, may become unstable. To get insight into the phenomenology of this…

Fluid Dynamics · Physics 2025-12-18 Chang-Fan Mo , Matthieu J. Mercier , Jacques Magnaudet , Jie Zhang

Flow instabilities play important roles in a wide range of engineering, geophysical, and astrophysical flows, ranging from supernova explosion in crab nebula, formation of clouds in sky, waves on ocean, to inertial confinement fusion…

Fluid Dynamics · Physics 2024-06-06 Wei Li

Flutter instability in an infinite medium is a form of material instability corresponding to the occurrence of complex conjugate squares of the acceleration wave velocities. Although its occurrence is known to be possible in elastoplastic…

Mathematical Physics · Physics 2015-05-20 Andrea Piccolroaz , Davide Bigoni , John R. Willis

Spanwise wall forcing in the form of streamwise-travelling waves is applied to the suction side of a transonic airfoil with a shock wave to reduce aerodynamic drag. The study, conducted using direct numerical simulations, extends earlier…

Fluid Dynamics · Physics 2025-02-10 Niccolò Berizzi , Davide Gatti , Giulio Soldati , Sergio Pirozzoli , Maurizio Quadrio

The linear dynamics and instability mechanisms of double-layered weakly viscoelastic fluid flowing over an inclined plane are analyzed in the presence of insoluble surfactant at both the free surface and interface. The constitutive equation…

Fluid Dynamics · Physics 2025-10-07 Md. Mouzakkir Hossain , Mohamin B. M. Khan , Youchuang Chao

This paper addresses the boundary stabilization of a flexible wing model, both in bending and twisting displacements, under unsteady aerodynamic loads, and in presence of a store. The wing dynamics is captured by a distributed parameter…

Optimization and Control · Mathematics 2018-08-29 Hugo Lhachemi , David Saussié , Guchuan Zhu

We develop a new approach and employ it to establish the global existence and nonlinear structural stability of attached weak transonic shocks in steady potential flow past three-dimensional wedges; in particular, the restriction that the…

Analysis of PDEs · Mathematics 2021-08-10 Gui-Qiang G. Chen , Jun Chen , Wei Xiang

The basic stationary buoyant flow in a vertical annular porous passage induced by a boundary temperature difference is investigated. The vertical cylindrical boundaries are considered both isothermal and permeable to external fluid…

Fluid Dynamics · Physics 2023-02-03 A. Barletta , M. Celli , D. A. S. Rees

Flow of a thin viscous film down a flat inclined plane becomes unstable to long wave interfacial fluctuations when the Reynolds number based on the mean film thickness becomes larger than a critical value (this value decreases as the angle…

Fluid Dynamics · Physics 2016-01-20 Alice B. Thompson , Dmitri Tseluiko , Demetrios T. Papageorgiou