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Heat conduction in three-dimensional nonlinear lattices is investigated using a particle dynamics simulation. The system is a simple three-dimensional extension of the Fermi-Pasta-Ulam $\beta$ (FPU-$\beta$) nonlinear lattices, in which the…

Statistical Mechanics · Physics 2010-04-07 Hayato Shiba , Satoshi Yukawa , Nobuyasu Ito

We consider an incompressible non-isothermal fluid flow with non-linear slip boundary conditions governed by Tresca's friction law. We assume that the stress tensor is given as $\sigma = 2 \mu\bigl( \theta, u, | D(u) |) |D(u) |^{p-2} D(u) -…

Analysis of PDEs · Mathematics 2021-12-15 Mahdi Boukrouche , Hanene Debbiche , Laetitia Paoli

Progress in understanding multi-scale collisionless plasma phenomena requires employing tools which balance computational efficiency and physics fidelity. Collisionless fluid models are able to resolve spatio-temporal scales that are…

Plasma Physics · Physics 2025-04-30 Emil R. Ingelsten , Madox C. McGrae-Menge , E. Paulo Alves , Istvan Pusztai

We investigate how to simulate anisotropic heat conduction in a stable manner in Smoothed Particle Hydrodynamics. We show that the requirement for stability is that entropy must increase. From this, we deduce that methods involving direct…

Computational Physics · Physics 2018-12-26 Sergei Biriukov , Daniel J. Price

We investigate a class of stationary, planar-symmetric solutions of relativistic hydrodynamics, in which a dissipative fluid is confined between two parallel plates that move relative to each other and/or are maintained at different…

Nuclear Theory · Physics 2026-03-10 Lorenzo Gavassino , Patrick Niekamp , Sören Schlichting , Gabriel S Denicol

This manuscript has been accepted for publication in Physical Review Fluids, see https://journals.aps.org/prfluids/accepted/53075Se8O0b1b109b1cc0061b280aaa122f0f92dc. The stability of a pulsatile quasi-two-dimensional duct flow was…

Fluid Dynamics · Physics 2021-05-12 Christopher J. Camobreco , Alban Pothérat , Gregory J. Sheard

Dissipative Particle Dynamics (DPD) is becoming a popular particle based method to study flow through microchannels due to the ease with which the presence of biological cells or DNA chains can be modeled. Many Lab-On-Chip (LOC) devices…

Fluid Dynamics · Physics 2013-03-27 S. Kumar Ranjith , B. S. V. Patnaik , Srikanth Vedantam

This study investigates the hydrodynamics of droplet formation in a T-shaped cylindrical microfluidic device using micro-PIV experiments and CFD simulations. Devices of 150 micro-m internal diameter were fabricated from PDMS via a…

Fluid Dynamics · Physics 2026-03-04 Pratibha Dogra , Ram Prakash Bharti , Gaurav Sharma

Thermal compositional multiphase flow in porous media with phase transitions involves complex nonlinear interactions among flow, transport, and phase equilibrium. This paper presents a persistent-variable formulation for thermal…

Computational Physics · Physics 2025-12-05 Veljko Lipovac , Omar Duran , Eirik Keilegavlen , Inga Berre

In this work, the van der Waals fluid model, a diffuse-interface model for liquid-vapor two-phase flows, is numerically investigated. The thermodynamic properties of the van der Waals fluid are first studied. Dimensional analysis is…

Computational Physics · Physics 2018-09-05 Ju Liu

In this work we propose and demonstrate a method to estimate the flowing gas-oil ratio and composition of a hydrocarbon well stream using measurements of pressure and temperature across a production choke. The method consists of using a…

Computational Engineering, Finance, and Science · Computer Science 2024-10-03 Seok Ki Moon , Milan Stanko

We consider a non--homogeneous incompressible and heat conducting fluid confined to a 3D domain perforated by tiny holes. The ratio of the diameter of the holes and their mutual distance is critical, the former being equal to $\epsilon^3$,…

Analysis of PDEs · Mathematics 2018-04-25 Eduard Feireisl , Yong Lu , Yongzhong Sun

The dynamic properties of fluid, including density, surface tension, diffusivity and viscosity, are temperature-dependent and can significantly influence the flow dynamics of mesoscopic non-isothermal systems. To capture the correct…

Computational Physics · Physics 2020-07-21 Kaixuan Zhang , Jie Li , Shuo Chen , Yang Liu

Extensive molecular dynamics computer simulations have been conducted for ethanol-water liquid mixtures in the water-rich side of the composition range, with 10, 20 and 30 mol % of the alcohol, at temperatures between room temperature and…

Chemical Physics · Physics 2019-06-12 Szilvia Pothoczki , László Pusztai , Imre Bakó

We consider a model of heat conduction which consists of a finite nonlinear chain coupled to two heat reservoirs at different temperatures. We study the low temperature asymptotic behavior of the invariant measure. We show that, in this…

Mathematical Physics · Physics 2009-10-31 Luc Rey-Bellet , Lawrence E. Thomas

In situ thermal transport measurement of flowing fluid could be useful for the characterization and diagnosis of practical thermal systems such as fluid heat exchangers and thermal energy storage systems. Despite abundant reports on the…

Fluid Dynamics · Physics 2021-05-04 Jian Zeng , Ka Man Chung , Sarath Reddy Adapa , Tianshi Feng , Renkun Chen

We provide a path integral treatment of the decoherence process induced by a heat bath on a single particle whose dynamics is classically chaotic and show that the decoherence rate is given by the Lyapunov exponent. The loss of coherence is…

Quantum Physics · Physics 2011-04-22 Marcus V. S. Bonança

The numerical approach has been performed to study the Bingham fluid flow through an oscillatory porous plate with Ion-Slip and Hall current. Initially, at time; t = 0 both the fluid and the upper plate are at rest. At time; t > 0 the upper…

Fluid Dynamics · Physics 2021-03-25 Md. Tusher Mollah , Muhammad Minarul Islam , Mohammad Ferdows , Md. Mahmud Alam

In this paper, we provide the semi-analytical solution of the temperature and flow fields of a fluid confined in a narrow space between two parallel plates. The temperature increase is triggered by photothermal effects of fluids and/or…

Fluid Dynamics · Physics 2024-12-17 Tetsuro Tsuji , Shun Saito , Satoshi Taguchi

We exhibit a stable finite time blow up regime for the 1-corotational energy critical harmonic heat flow from $\Bbb R^2$ into a smooth compact revolution surface of $\Bbb R^3$ which reduces to the semilinear parabolic problem $$\partial_t u…

Analysis of PDEs · Mathematics 2011-06-07 Pierre Raphael , Remi Schweyer