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In the present paper we propose a reduced temperature non-equilibrium model for simulating multicomponent flows with inter-phase heat transfer, diffusion processes (including the viscosity and the heat conduction) and external energy…

Numerical Analysis · Mathematics 2021-08-19 Chao Zhang , Lifeng Wang , Zhijun Shen , Zhiyuan Li , Igor Menshov

A homogenization approach is proposed for the treatment of porous wall boundary conditions in the computation of compressible viscous flows. Like any other homogenization approach, it eliminates the need for pore-resolved fluid meshes and…

Fluid Dynamics · Physics 2020-12-15 Daniel Z. Huang , Man Long Wong , Sanjiva K. Lele , Charbel Farhat

We investigate numerically quasi-steady internal flows in an axially symmetrical evaporating sessile droplet depending on the ratio of substrate to fluid thermal conductivities, fluid volatility, contact angle and droplet size. Temperature…

Fluid Dynamics · Physics 2021-02-04 M. N. Turchaninova , E. S. Melnikova , A. A. Gavrilina , L. Yu. Barash

We study turbulent flows in pressure-driven ducts with square cross-section through direct numerical simulation in a wide enough range of Reynolds number to reach flow conditions which are representative of fully developed turbulence.…

Fluid Dynamics · Physics 2018-03-14 S. Pirozzoli , D. Modesti , P. Orlandi , F. Grasso

Axial flow in an annulus between two concentric cylinders is commonly seen in various flow devices used in chemical processing industries and petroleum science and engineering. The flow state in the annulus strongly influences the…

Fluid Dynamics · Physics 2010-06-08 Hua-Shu Dou , Boo Cheong Khoo , Her Mann Tsai

In this paper the propagation of acoustic plane waves in turbulent, fully developed flow is studied by means of an experimental investigation carried out in a straight, smooth-walled duct.The presence of a coherent perturbation, such as an…

Fluid Dynamics · Physics 2018-12-31 H. Tiikoja , F. Auriemma , J. Lavrentjev

We derive a monotonicity property for general, transient flows of a commodity transferred throughout a network, where the flow is characterized by density and mass flux dynamics on the edges with density continuity and mass balance…

Optimization and Control · Mathematics 2016-03-31 Anatoly Zlotnik , Sidhant Misra , Marc Vuffray , Michael Chertkov

We consider a model of a binary mixture of two immiscible compressible fluids. We propose a numerical scheme and discuss its basic properties: Stability, consistency, convergence. The convergence is established via the method of generalized…

Analysis of PDEs · Mathematics 2022-02-02 Eduard Feireisl , Madalina Petcu , Bangwei She

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…

We analyse numerically the linear stability of a liquid metal flow in a rectangular duct with perfectly electrically conducting walls subject to a uniform transverse magnetic field. A non-standard three dimensional vector stream…

Fluid Dynamics · Physics 2012-09-26 Jānis Priede , Svetlana Aleksandrova , Sergei Molokov

A canonical problem of axially strained flow in a duct of circular-sector cross-section, with fluid injection through the circular arc, is examined for a range of Reynolds numbers and sector angles. At small Reynolds numbers, the flow…

Fluid Dynamics · Physics 2025-08-19 Prabakaran Rajamanickam

High-pressure transcritical fluid flows are central to modern energy and propulsion systems. A key challenge arises in confined configurations, where optimizing performance requires a detailed understanding of the coupled hydrodynamic and…

Fluid Dynamics · Physics 2026-01-21 M. Bernades , J. M. O. Massey , B. J. McKeon , L. Jofre

We study the long-time behaviour of the temperature-driven compressible flows. We show that numerical solutions of a structure-preserving finite volume method generate a discrete attractor that consists of entire discrete trajectories.…

Numerical Analysis · Mathematics 2026-04-07 Eduard Feireisl , Maria Lukacova-Medvidova , Bangwei She , Yuhuan Yuan

In this paper, we investigate steady inviscid compressible flows with radial symmetry in an annulus. The major concerns are transonic flows with or without shocks. One of the main motivations is to elucidate the role played by the angular…

Analysis of PDEs · Mathematics 2021-01-05 Shangkun Weng , Zhouping Xin , Hongwei Yuan

We investigate in detail the problem of confined pressure-driven laminar flow of neutrally buoyant non-Brownian suspensions using a frictional rheology based on the recent proposal of Boyer et al., 2011. The friction coefficient and solid…

Soft Condensed Matter · Physics 2015-06-22 Brice Lecampion , Dmitry I. Garagash

While compressible flow theory has relied on the perfect gas model as its workhorse for the past century, compressible dynamics in dense gases, solids and liquids have relied on many complex equations of state, yielding limited insight on…

Fluid Dynamics · Physics 2020-04-21 Matei Ioan Radulescu

Motivated by the search for sharp bounds on turbulent heat transfer as well as the design of optimal heat exchangers, we consider incompressible flows that most efficiently cool an internally heated disc. Heat enters via a distributed…

Analysis of PDEs · Mathematics 2022-05-26 Ian Tobasco

We establish the theoretical framework for adjoint-based phase reduction analysis for incompressible periodic flows. Through this adjoint-based method, we obtain spatiotemporal phase sensitivity fields through a single pair of forward and…

Fluid Dynamics · Physics 2022-10-11 Yoji Kawamura , Vedasri Godavarthi , Kunihiko Taira

The stability of buoyant flows occurring in the mixed convection regime for a viscous fluid in a horizontal plane-parallel channel with adiabatic walls is investigated. The basic flow features a parallel velocity field under stationary…

Fluid Dynamics · Physics 2023-10-10 A. Barletta , M. Celli , D. A. S. Rees

This work considers a compressible, viscous, heat-conducting fluid exhibiting thermal relaxation according to Christov's constitutive heat transfer law (C. I. Christov, Mech. Research Comm. 36 (2009)), which is of Cattaneo type. The…

Analysis of PDEs · Mathematics 2018-09-26 Felipe Angeles , Carlos Malaga , Ramon G. Plaza