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The fluid flow across an unbounded horizontal plate embedded with uniform mass diffusion is studied in this article together with the impacts of the chemical reaction and parabolic motion, while the temperature and concentration of the…

Dynamical Systems · Mathematics 2024-10-08 P. Sivakumar , R. M. Madhusudhan , R. Muthucumaraswamy , A. Ramamoorthy

We consider a boundary-value problem describing the steady motion of a two-component mixture of viscous compressible heat-conducting fluids in a bounded domain. We make no simplifying assumptions except for postulating the coincidence of…

Analysis of PDEs · Mathematics 2017-10-19 Alexander Mamontov , Dmitriy Prokudin

The present research is devoted to the problem of stability of the fluid flow moving in a channel with flexible walls and interacting with the walls, which are subject to traveling waves. Experimental data shows that the energy of the…

Fluid Dynamics · Physics 2021-01-01 Marianna A. Shubov , Madeline M. Edwards

This paper investigates curve flows on the light-cone in the 3-dimensional Minkowski space. We derive the Harnack inequality for the heat flow and present a detailed classification of space-periodic solitons for a third-order curvature…

Differential Geometry · Mathematics 2025-02-11 Yun Yang

Controlling photon mediated energy flow is central to the future of communications, thermal management, and energy harvesting technologies. Recent breakthroughs have revealed that many body systems violating Lorentz reciprocity can sustain…

Optics · Physics 2025-10-16 Sina Jafari Ghalekohneh , Bo Zhao

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

Thermal convection in fluid layers heated from below are usually realized experimentally as well as treated theoretically with fixed boundaries on which conditions for the temperature and the velocity field are prescribed. The thermal and…

Fluid Dynamics · Physics 2011-02-08 R. D. Simitev , F. H. Busse

We apply the coarse-grained Hall-Vinen-Bekarevich-Khalatnikov (HVBK) equations to model the statistically steady-state, turbulent, cylindrically symmetric radial counterflow generated by a moderately large heat flux from the surface of a…

Other Condensed Matter · Physics 2020-01-08 Yuri A. Sergeev , Carlo F. Barenghi

When the variations of surface temperature are measured both spatially and temporally, analytical expressions that correctly account for multi-dimensional transient conduction can be applied. To enhance the accessibility of these accurate…

Instrumentation and Detectors · Physics 2024-12-03 David Buttsworth , Timothy Buttsworth

Experimental and numerical study of the steady-state cyclonic vortex from isolated heat source in a rotating fluid layer is described. The structure of laboratory cyclonic vortex is similar to the typical structure of tropical cyclones from…

Fluid Dynamics · Physics 2017-05-03 A. Sukhanovskii , A. Evgrafova , E. Popova

We study Rayleigh-Benard convection in the high-Rayleigh-number and high-Prandtl-number regime, i.e., we consider a fluid in a container that is exposed to strong heating of the bottom and cooling of the top plate in the absence of inertia…

Analysis of PDEs · Mathematics 2015-06-12 Christian Seis

In this work, we investigate the estimation of the transient mold-slab heat flux in continuous casting molds given some thermocouples measurements in the mold plates. Mathematically, we can see this problem as the estimation of a Neumann…

Numerical Analysis · Mathematics 2022-10-06 Umberto Emil Morelli , Patricia Barral , Peregrina Quintela , Gianluigi Rozza , Giovanni Stabile

Compact and small-scale heat exchangers can handle high heat dissipation rates due to their large surface area to volume ratios. Applications involving high heat dissipation rates include, but are not limited to, compact microelectronic…

Fluid Dynamics · Physics 2021-06-23 Mahyar Pourghasemi , Nima Fathi , Sal Rodriguez

Results of direct numerical simulations (DNS) of porous-wall turbulent flows in open channels with conjugate heat transfer are reported in this work. For the conductive porous walls considered here, the change in heat transfer is not…

Fluid Dynamics · Physics 2025-07-15 Seyed Morteza Habibi Khorasani , Geert Brethouwer , Shervin Bagheri

This study numerically investigates heat transfer enhancement in laminar, incompressible viscoplastic nanofluid flow through the entrance region of a circular cylinder with a uniformly heated wall, including the effects of both,…

Fluid Dynamics · Physics 2026-04-08 Deepa Madivalar , Vishwanath Kadaba Puttanna , A Kandasamy

During the laser drilling process the recoil pressure drives melt flow and affects the heat transfer and material removal rate. To get a more realistic picture of the melt flow, a series of differential equations are formulated here that…

Computational Physics · Physics 2016-04-22 Youqing Yang , Zhen Chen , Yuwen Zhang

Superfluid helium-4 (He II) is a widely adopted coolant in scientific and engineering applications owing to its exceptional heat transfer capabilities. However, boiling can spontaneously occur on a heating surface in He II when the heat…

Other Condensed Matter · Physics 2023-10-12 Sosuke Inui , Mikai Hulse , Toshiaki Kanai , Wei Guo

Laminar natural convection from two horizontally aligned isothermal cylinders in unconfined Power-law fluids has been investigated numerically. The effect of horizontal spacing (0<=(S/D)<=10) on both momentum and heat transfer…

Fluid Dynamics · Physics 2021-07-08 Subhasisa Rath , Sukanta K. Dash

We derive the incompressible Euler equations with heat convection with the no-penetration boundary condition from the Boltzmann equation with the diffuse boundary in the hydrodynamic limit for the scale of large Reynold number. Inspired by…

Analysis of PDEs · Mathematics 2021-04-07 Yunbai Cao , Juhi Jang , Chanwoo Kim

The axisymmetric flow of a thin liquid film is considered for the problem of a vertically rotating disk that is partially immersed in a liquid bath. A model for the fully three-dimensional free-boundary problem of the rotating disk, that…

Fluid Dynamics · Physics 2007-06-13 K. Afanasiev , A. Münch , B. Wagner
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