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The pressure gradient has a significant influence on the mean-flow properties of turbulent boundary layers. Conventional analytical studies on PG turbulent boundary layers are conducted separately for the viscous sub-layer and overlap layer…

Fluid Dynamics · Physics 2024-09-10 Tan-Tan Du , Jun Chen , Wei-Tao Bi , Zhen-Su She

When turbulent boundary layer flows encounter abrupt roughness changes, an Internal Boundary Layer (IBL) forms. Equilibrium theory breaks down in the nonequilibrium IBL, which may extend O(10) km for natural atmospheric flows. Here, we find…

Fluid Dynamics · Physics 2025-06-12 Justin P. Cooke , George I. Park , Douglas J. Jerolmack , Paulo E. Arratia

We study the flow induced by random vibration of a solid boundary in an otherwise quiescent fluid. The analysis is motivated by experiments conducted under the low level and random effective acceleration field that is typical of a…

Pattern Formation and Solitons · Physics 2019-09-25 Dmitri Volfson , Jorge Vinals

We study the flow of an incompressible liquid film down a wavy incline. Applying a Galerkin method with only one ansatz function to the Navier-Stokes equations we derive a second order weighted residual integral boundary layer equation,…

Analysis of PDEs · Mathematics 2015-05-13 Tobias Häcker , Hannes Uecker

Molecular dynamic (MD) simulation is used to study slip at the fluid-solid boundary in an unsteady flow based on the Stokes second problem. An increase in slip is observed in comparison to the steady flow for shear rates below the critical…

Fluid Dynamics · Physics 2015-06-05 Joseph John Thalakkottor , Kamran Mohseni

Optimal transitional mechanisms are analysed for an incompressible shear layer developing over a short, pressure gradient-induced laminar separation bubble (LSB) with peak reversed flow of 2%. Although the bubble remains globally stable,…

Fluid Dynamics · Physics 2025-08-13 Flavio Savarino , Denis Sipp , Georgios Rigas

In this paper, we construct growing modes of the linearized Navier-Stokes equations about generic stationary shear flows of the boundary layer type in a regime of sufficiently large Reynolds number: $R \to \infty$. Notably, the shear…

Analysis of PDEs · Mathematics 2017-02-22 Emmanuel Grenier , Yan Guo , Toan T. Nguyen

To study the onset of a stationary dynamo in the presence of inner or outer walls of various electromagnetic properties, we propose a simple 1D-model in which the flow is replaced by an alpha effect. The equation of dispersion of the…

Fluid Dynamics · Physics 2009-05-07 R. Avalos-Zuniga , F. Plunian

The problem of disturbed flow in the laminar boundary layer is investigated when a heating element is located on the surface of the body. The flow is supposed to be laminar one. It is shown that the problem may be solved in terms of free…

Fluid Dynamics · Physics 2011-10-13 M. V. Koroteev , I. I. Lipatov

A new statistical definition for the mean turbulent boundary layer thickness is introduced, based on identification of the point where the streamwise velocity skewness changes sign, from negative to positive, in the outermost region of the…

Fluid Dynamics · Physics 2025-10-22 Mitchell Lozier , Rahul Deshpande , Ahmad Zarei , Luka Lindić , Wagih Abu Rowin , Ivan Marusic

The complex interactions between turbulence and the free surface, including air entrainment processes, in boundary layer shear flows created by vertical surface-piercing plates are considered. A laboratory-scale device was built that…

Fluid Dynamics · Physics 2016-06-17 Nathan Washuta , Naeem Masnadi , James H. Duncan

We study the transition to turbulence in a flat plate boundary layer by means of visibility analysis of velocity time-series extracted across the flow domain. By taking into account the mutual visibility of sampled values, visibility graphs…

Fluid Dynamics · Physics 2022-10-13 Davide Perrone , Luca Ridolfi , Stefania Scarsoglio

We present a set of new energy-stable open boundary conditions for tackling the backflow instability in simulations of outflow/open boundary problems for incompressible flows. These boundary conditions are developed through two steps: (i)…

Fluid Dynamics · Physics 2019-05-22 Naxian Ni , Zhiguo Yang , Suchuan Dong

We consider the stability of two-dimensional viscous flows in an annulus with permeable boundary. In the basic flow, the velocity has nonzero azimuthal and radial components, and the direction of the radial flow can be from the inner…

Fluid Dynamics · Physics 2022-08-10 Konstantin Ilin , Andrey Morgulis

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

Nonlinear convection, the source of turbulence in fluid flows, may hold the key to stabilizing turbulence by solving a specific cubic polynomial equation. We consider the incompressible Navier-Stokes equations in a two-dimensional channel.…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Mohamed Camil Belhadjoudja , Miroslav Krstic , Emmanuel Witrant

Over the past decade, the edge of chaos has proven to be a fruitful starting point for investigations of shear flows when the laminar base flow is linearly stable. Numerous computational studies of shear flows demonstrated the existence of…

Fluid Dynamics · Physics 2018-06-06 Nazmi Burak Budanur , Björn Hof

Fluidisation is the process by which the weight of a bed of particles is supported by a gas flow passing through it from below. When fluidised materials flow down an incline, the dynamics of the motion differ from their non-fluidised…

Fluid Dynamics · Physics 2017-10-11 D. E. Jessop , A. J. Hogg , M. A. Gilbertson , C. Schoof

The energy transfer mechanisms and structures playing a role in these mechanisms in adverse-pressure-gradient (APG) turbulent boundary layers (TBLs) with small and large velocity defects are investigated. We examine the wall-normal and…

Fluid Dynamics · Physics 2022-09-05 Taygun R. Gungor , Yvan Maciel , Ayse G. Gungor

Most flows in nature and engineering are turbulent because of their large velocities and spatial scales. Laboratory experiments of rotating quasi-Keplerian flows, for which the angular velocity decreases radially but the angular momentum…

Fluid Dynamics · Physics 2017-11-21 Jose M. Lopez , Marc Avila
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