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We present an experimental study on steady gravity currents advancing along a heated wall. The current is generated by a mixture of air and carbon dioxide continuously supplied at the channel inlet. To have a complete point-wise…

Harmonic oscillations of the walls of a turbulent plane channel flow are studied by direct numerical simulations to improve our understanding of the physical mechanism for skin-friction drag reduction. The simulations are carried out at…

Fluid Dynamics · Physics 2017-04-26 Pierre Ricco , Claudio Ottonelli , Yosuke Hasegawa , Maurizio Quadrio

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

We study the effect of acceleration and deceleration on the stability of channel flows. To do so, we derive an exact solution for laminar profiles of channel flows with arbitrary, time-varying wall motion and pressure gradient. This…

Fluid Dynamics · Physics 2024-11-20 Alec J. Linot , Peter J. Schmid , Kunihiko Taira

The vertical heated-pipe is widely used in thermal engineering applications, as buoyancy can help drive a flow, but several flow regimes are possible: shear-driven turbulence, laminarised flow, and convective turbulence. Steady velocity…

Fluid Dynamics · Physics 2025-09-24 Shijun Chu , Elena Marensi , Ashley P. Willis

We study compressible fluid flow in narrow two-dimensional channels using a novel molecular dynamics simulation method. In the simulation area, an upstream source is maintained at constant density and temperature while a downstream…

Condensed Matter · Physics 2009-10-22 M. Sun , C. Ebner

We consider the nonlinear optimisation of irreversible mixing induced by an initial finite amplitude perturbation of a statically stable density-stratified fluid. A constant pressure gradient is imposed in a plane two-dimensional channel.…

Fluid Dynamics · Physics 2018-10-17 F. Marcotte , C. P. Caulfield

We prove the existence and uniqueness of strong solutions to the steady isentropic compressible Navier-Stokes equations with inflow boundary conditions for density and mixed boundary conditions for the velocity around a shear flow. In…

Analysis of PDEs · Mathematics 2022-04-19 Wen-Gang Yang

We investigate the dynamics of a point-like active particle suspended in fluid flow through a straight channel. For this particle-fluid system, we derive a constant of motion for a general unidirectional fluid flow, and apply it to an…

Fluid Dynamics · Physics 2024-06-04 Rahil N. Valani , Brendan Harding , Yvonne M. Stokes

Condensation is an important aspect of many flow applications due to the universal presence of humidity in the air at ambient conditions. For direct numerical simulations of such flows, simulating the gas phase as a mixture characterized by…

Fluid Dynamics · Physics 2022-06-29 Philipp Bahavar , Claus Wagner

Poiseuille flow in cylindrical and planar geometries with a simplified, pseudoplastic (shear thinning) rheology characterized by constant viscosity plateaus above and below a transition strain rate is considered. Analytical, steady state…

Fluid Dynamics · Physics 2024-07-26 Chris Reese

We investigate the two-dimensional transport of heat through viscous flow between two parallel rough interfaces with a given fractal geometry. The flow and heat transport equations are solved through direct numerical simulations, and for…

Statistical Mechanics · Physics 2009-11-10 J. S. Andrade , E. A. Henrique , M. P. Almeida , M. H. A. S. Costa

We consider the slow flow of a viscous incompressible liquid in a channel of constant but arbitrary cross section shape, driven by non-uniform suction or injection through the porous channel walls. A similarity transformation reduces the…

Fluid Dynamics · Physics 2012-08-28 Kaare H. Jensen

This investigation deals with the analysis of stagnation point heat transfer and corresponding flow features of hydromagnetic viscous incompressible fluid over a vertical shrinking sheet. The considered sheet is assumed to be permeable and…

Fluid Dynamics · Physics 2015-11-20 Rakesh Kumar , Shilpa Sood

The temporal linear stability of plane Poiseuille flow modified by spanwise forcing applied at the walls is considered. The forcing consists of a stationary streamwise distribution of spanwise velocity that generates a steady transversal…

Fluid Dynamics · Physics 2026-02-17 Daniele Massaro , Fulvio Martinelli , Peter J. Schmid , Maurizio Quadrio

Turbulent flows under transcritical conditions are present in regenerative cooling systems of rocker engines and extraction processes in chemical engineering. The turbulent flows and the corresponding heat transfer phenomena in these…

Fluid Dynamics · Physics 2017-12-08 Peter C. Ma , Xiang I. A. Yang , Matthias Ihme

We investigate the stability of the 2-D Navier-Stokes equations in the infinite channel $\mathbb{R}\times [-1,1]$ with the Navier-slip boundary condition. We show that if the initial perturbations $\omega^{in}$ around the Couette flow…

Analysis of PDEs · Mathematics 2025-10-22 Qionglei Chen , Zhen Li , Changxing Miao

Velocity and temperature distributions are both crucial for modeling compressible wall-bounded turbulent flows. The compressible law of the wall for velocity has been extensively examined through velocity transformations. However, a…

Fluid Dynamics · Physics 2026-03-06 Youjie Xu , Steffen J. Schmidt , Nikolaus A. Adams

Drag for wall-bounded flows is directly related to flux of spanwise vorticity outward from the wall. In turbulent flows a key contribution arises from cross-stream "vorticity cascade" by nonlinear advection and stretching of vorticity. We…

Fluid Dynamics · Physics 2023-11-23 Samvit Kumar , Charles Meneveau , Gregory Eyink

Fluids at supercritical pressures exhibit large variations in density near the pseudo critical line, such that buoyancy plays a crucial role in their fluid dynamics. Here, we experimentally investigate heat transfer and turbulence in…

Fluid Dynamics · Physics 2025-06-11 Marko Draskic , Jerry Westerweel , Rene Pecnik