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The no-slip boundary condition results in a velocity shear forming in fluid flow near a solid surface. This shear flow supports the turbulence characteristic of fluid flow near boundaries at Reynolds numbers above $\approx1000$ by making…

Fluid Dynamics · Physics 2018-08-28 Brian F. Farrell , Petros J. Ioannou , Marios-Andreas Nikolaidis

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

Fluid Dynamics · Physics 2020-04-09 Alexander Gelfgat , Neima Brauner

Lateral jets play a crucial role in controlling the trajectory and aerodynamic heating of hypersonic vehicles. However, the complex interaction between turbulent and rarefaction effects has rarely been examined. This study fills this…

Fluid Dynamics · Physics 2025-01-10 Songyan Tian , Lei Wu , Minping Wan

Recent research has shed light on the role of coherent structures in forming layers when stably stratified turbulence is forced with horizontal shear (Lucas, Caulfield & Kerswell, J. Fluid Mech., vol. 832, 2017, pp. 409-437). Here we extend…

Fluid Dynamics · Physics 2019-05-01 Dan Lucas , C. P. Caulfield , Rich R. Kerswell

The traditional approach in the study of hydrodynamic stability of stratified fluids includes the stick boundary conditions between layers. However, this rule may be violated in polymer systems and as a consequence various instabilities may…

Fluid Dynamics · Physics 2015-06-10 Stanislav Patlazhan

Traditionally the effects of MHD instabilities and micro-instabilities on plasma confinement are investigated separately. However, these two instabilities often occur simultaneously, with the overlap of the dynamics on a broad range of…

Plasma Physics · Physics 2009-07-06 Johan Anderson , Eun-jin Kim

This work focuses on the interfacial dynamics with interfacial mass flux in the presence of acceleration and surface tension. We employ the general matrix method to find the fundamental solutions for the linearized boundary value problem…

Fluid Dynamics · Physics 2021-07-07 D. V. Ilyin , S. I. Abarzhi

In this work, we explore various relevant aspects of the Smoothed Particle Hydrodynamics regarding Burger's equation. The stability, precision, and efficiency of the algorithm are investigated in terms of different implementations. In…

Computational Physics · Physics 2020-01-08 Chong Ye , Philipe Mota , Jin Li , Kai Lin , Wei-Liang Qian

We use a database of direct numerical simulations to evaluate parametrizations for energy dissipation rate in stably stratified flows. We show that shear-based formulations are more appropriate for stable boundary layers than commonly used…

Atmospheric and Oceanic Physics · Physics 2020-08-25 Sukanta Basu , Ping He , Adam W DeMarco

A novel mechanism is identified, through which a spanwise-invariant surface feature (a two-dimensional forward-facing step) significantly stabilizes the stationary crossflow instability of a three-dimensional boundary layer. The mechanism…

Fluid Dynamics · Physics 2023-10-06 Jordi Casacuberta , Stefan Hickel , Marios Kotsonis

In this paper, we establish the first rigorous mathematical global result on the validation of the hypersonic similarity, which is also called the Mach-number independence principle, for the two dimensional steady potential flow. The…

Analysis of PDEs · Mathematics 2019-11-07 Jie Kuang , Wei Xiang , Yongqian Zhang

Motivated by the dynamics within terrestrial bodies, we consider a rotating, strongly thermally stratified fluid within a spherical shell subject to a prescribed laterally inhomogeneous heat-flux condition at the outer boundary. Using a…

Fluid Dynamics · Physics 2019-03-27 Grace A. Cox , Christopher J. Davies , Philip W. Livermore , James Singleton

We consider the stability of a compressible shear flow separating two streams of different speeds and temperatures. The velocity and temperature profiles in this mixing layer are hyperbolic tangents. The normal mode analysis of the flow…

Astrophysics · Physics 2009-11-13 P. Caillol , M. Ruderman

This work builds on and confirms the theoretical findings of Part 1 of this paper, Moarref & Jovanovi\'c (2010). We use direct numerical simulations of the Navier-Stokes equations to assess the efficacy of blowing and suction in the form of…

Fluid Dynamics · Physics 2011-11-29 Binh K. Lieu , Rashad Moarref , Mihailo R. Jovanović

The incompressible boundary layer in the axial flow past a cylinder has been shown Tutty et. al.(\cite{tutty}) to be stabler than a two-dimensional boundary layer, with the helical mode being the least stable. In this paper the secondary…

Fluid Dynamics · Physics 2008-07-25 N. Vinod , Rama Govindarajan

We revisit the classical stability versus accuracy dilemma for the lattice Boltzmann methods (LBM). Our goal is a stable method of second-order accuracy for fluid dynamics based on the lattice Bhatnager--Gross--Krook method (LBGK). The LBGK…

Statistical Mechanics · Physics 2007-05-23 R. A. Brownlee , A. N. Gorban , J. Levesley

Dendritic flux avalanches is a frequently encountered consequence of the thermomagnetic instability in type-II superconducting films. The avalanches, potentially harmful for superconductor-based devices, can be suppressed by an adjacent…

Superconductivity · Physics 2013-12-30 J. I. Vestgarden , Y. M. Galperin , T. H. Johansen

The study and characterization of the diversity of spatiotemporal patterns generated when a rectangular layer of fluid is locally heated beneath its free surface is presented. We focus on the instability of a stationary cellular pattern of…

Pattern Formation and Solitons · Physics 2009-01-21 Montserrat A. Miranda , Javier Burguete

The fundamental resonance (FR) in the nonlinear phase of the boundary-layer transition to turbulence appears when a dominant planar instability mode reaches a finite amplitude, and the low-amplitude oblique traveling modes with the same…

Fluid Dynamics · Physics 2023-12-07 Runjie Song , Ming Dong , Lei Zhao

Aspects of transition mechanisms on a $14^{\circ}$ sharp-nosed ogive-cylinder at Mach~$6$ are elucidated by considering linear and nonlinear disturbance evolution of freestream stochastic and wave packet forcing at different locations…

Fluid Dynamics · Physics 2022-10-12 Hemanth Goparaju , Kunal Kanawade , S Unnikrishnan , Datta V Gaitonde
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