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We analyze a non-isothermal Darcy-Brinkman thin-film flow with a periodically oscillating boundary and viscous dissipation acting as a heat source. Using asymptotic analysis and the periodic unfolding method, we establish the convergence of…

Analysis of PDEs · Mathematics 2026-04-08 María Anguiano , Igor Pažanin , Francisco J. Suárez-Grau

Four results associated with the diffuse-interface model (DIM) for contact lines are reported in this paper. First, a boundary condition is derived, which states that the fluid near a solid wall must have a certain density $\rho_{0}$…

Fluid Dynamics · Physics 2021-09-27 E. S. Benilov

Displacement experiments carried out in microfluidic porous media analogs show that reduced surface tension leads to a more stable displacement, opposite to the process in Hele-Shaw cells where surface tension stabilizes the displacement of…

Fluid Dynamics · Physics 2012-10-17 Wei Xu , Jeong Tae Ok , Keith Neeves , Xiaolong Yin

Polymer flooding is a mature enhanced oil recovery technique that has been successfully applied in many field projects. By injecting polymer into a reservoir, the viscosity of water is increased, and the efficiency of water flooding is…

Computational Engineering, Finance, and Science · Computer Science 2018-12-19 He Zhong , Hui Liu , Tao Cui , Lihua Shen , Bo Yang , Ruijian He , Zhangxin Chen

In this paper thermal conductivity and thermal diffusivity of a two layer system is examined from the theoretical point of view. We use the one dimensional heat diffusion equation with the appropriate solution in each layer and boundary…

Condensed Matter · Physics 2009-10-28 G. Gonzalez de la Cruz , Yu. G. Gurevich

Heat-based cancer treatment, so-called hyperthermia, can be used to destroy tumour cells directly or to make them more susceptible to chemotherapy or radiation therapy. To apply heat locally, iron oxide nanoparticles are injected into the…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Barbara Wirthl , Paolo Decuzzi , Bernhard A. Schrefler , Wolfgang A. Wall

The interacting lattice gas model is used to simulate fluid flow through an open percolating porous medium with the fluid entering at the source-end and leaving from the opposite end. The shape of the steady-state concentration profile and…

Statistical Mechanics · Physics 2009-11-07 R. B. Pandey , J. F. Gettrust , D. Stauffer

Turbulent convection plays a crucial role in many natural environments, ranging from Earth ocean, mantle and outer core, to various astrophysical systems. For such flows with extremely strong thermal driving, an ultimate scaling was…

Fluid Dynamics · Physics 2021-06-09 Shufan Zou , Yantao Yang

Convection in astrophysical systems must be maintained against dissipation. Although the effects of dissipation are often assumed to be negligible, theory suggests that in strongly stratified convecting fluids, the dissipative heating rate…

Solar and Stellar Astrophysics · Physics 2017-08-30 Laura K. Currie , Matthew K. Browning

We study a generalization of the Navier-Stokes-Fourier system for an incompressible fluid where the deviatoric part of the Cauchy stress tensor is related to the symmetric part of the velocity gradient via a maximal monotone 2-graph that is…

Analysis of PDEs · Mathematics 2017-05-02 Erika Maringová , Josef Žabenský

Convective dissolution is the process by which CO$_2$ injected in deep geological formations dissolves into the aqueous phase, which allows storing it perennially by gravity. The process results from buoyancy-coupled Darcy flow and solute…

Fluid Dynamics · Physics 2022-07-06 Jayabrata Dhar , Patrice Meunier , François Nadal , Yves Méheust

The paper addresses a two-temperature model for simulating compressible two-phase flow taking into account diffusion processes related to the heat conduction and viscosity of the phases. This model is reduced from the two-phase…

Numerical Analysis · Mathematics 2022-07-27 Chao Zhang , Igor Menshov , Lifeng Wang , Zhijun Shen

When an immiscible oil drop is immersed in a stably stratified ethanol-water mixture, the Marangoni flow on the surface of the drop can experience an oscillatory instability, so that the drop undergoes a transition from levitating to…

Fluid Dynamics · Physics 2023-06-30 Jochem G. Meijer , Yanshen Li , Christian Diddens , Detlef Lohse

Granular flows with solid particles play an important role in energy and catalysis applications. To predict thermal performance, this study develops a comprehensive discrete particle tracking flow model fully coupled with conductive and…

Fluid Dynamics · Physics 2024-03-22 Bingjia Li , Zijie Chen , Rohini Bala Chandran

The purpose of this paper is to explore the dynamical behaviour of hot accretion flow with thermal conduction. The importance of thermal conduction on hot accretion flow is confirmed by observations of the hot gas that surrounds Sgr A$^*$…

High Energy Astrophysical Phenomena · Physics 2012-05-11 Kazem Faghei

The paper considers heat conduction in a model chain of composite particles with hard core and elastic external shell. Such model mimics three main features of realistic interatomic potentials - hard repulsive core, quasilinear behavior in…

Statistical Mechanics · Physics 2015-08-13 V. Zolotarevskiy , A. V. Savin , O. V. Gendelman

We calculate the transport coefficient of hadronic matter in the presence of temperature and magnetic field using the linear sigma model. In the relaxation time approximation, we estimate the shear viscosity over entropy density $\eta/s$.…

High Energy Physics - Phenomenology · Physics 2022-06-22 Ritesh Ghosh , Najmul Haque

This study examines discrepancies in oil displacement mechanisms at equivalent interfacial tensions, focusing on the distinct contributions of surfactants and nanoparticles. It was hypothesized that similar interfacial activities would…

Fluid Dynamics · Physics 2024-11-26 Suparit Tangparitkul , Thakheru Akamine , David Harbottle , Falan Srisuriyachai , Kai Yu

Flow instability and turbulent transition can be well explained using a new proposed theory--Energy gradient theory [1]. In this theory, the stability of a flow depends on the relative magnitude of energy gradient in streamwise direction…

Fluid Dynamics · Physics 2007-05-23 Hua-Shu Dou

The temperature dependence of the nuclear free induction decay in the presence of a magnetic-field gradient was found to exhibit motional narrowing in gases upon heating, a behavior that is opposite to that observed in liquids. This has led…

Chemical Physics · Physics 2023-03-22 Mohamad Niknam , Louis-S. Bouchard