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An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of…

Analysis of PDEs · Mathematics 2021-05-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

The adsorption at the interface between an aqueous solution of several surface-active agents and another fluid (air or oil) phase is addressed theoretically. We derive the kinetic equations from a variation of the interfacial free energy,…

Soft Condensed Matter · Physics 2007-05-23 G. Ariel , H. Diamant , D. Andelman

Based on a microscopic density functional theory we calculate the internal structure of the three-phase contact line between liquid, vapor, and a confining wall as well as the morphology of liquid wetting films on a substrate exhibiting a…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich

We revisit the sharp-interface continuum thermodynamics of two-phase multicomponent fluid systems with interfacial mass. Since the published work is not fully consistent, we provide a rigorous derivation of the local balance equations and…

Fluid Dynamics · Physics 2022-08-15 Dieter Bothe

Although it has been shown experimentally that a temperature discontinuity exists at the liquid-vapor interface during evaporation and condensation, quantitatively modeling this temperature jump has been difficult. The classical Schrage…

Applied Physics · Physics 2022-03-17 Gang Chen

The study of interfacial fluxes under evaporative or condensation processes are ubiquitous in thermal systems, propulsion devices, and many other engineering applications. Most continuum scale models fail to capture the true nature of…

Computational Physics · Physics 2025-12-24 Suman Chakraborty , Bongseok Kim , Li Qiao

Interfacial thermal transport is a critical bottleneck in nanoscale systems, where heat dissipation and energy efficiency are strongly modulated by molecular ordering at solid-liquid boundaries. Here, using atomistic simulations of…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Viktor Mandrolko , Mykola Isaiev

By means of extensive equilibrium molecular dynamics simulations we have investigated, the behavior of the interfacial tension $\gamma$ of two immiscible symmetrical Lennard-Jones fluids. This quantity is studied as function of reduced…

Statistical Mechanics · Physics 2016-08-15 Enrique Diaz-Herrera , José Alejandre , Guillermo Ramírez-Santiago , F. Forstmann

The theory of interfacial properties in liquid-liquid or liquid-vapour systems is nearly 200 years old. The advent of computational tools has greatly advanced the field, mainly through the use of Molecular Dynamics simulations. Despite the…

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

This article presents a theoretical analysis of a one-dimensional heat transfer problem in two layers involving diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, and heat generation due…

Fluid Dynamics · Physics 2024-10-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

Thermal welding of polymer-polymer interfaces is important for integrating polymeric elements into devices. When two different polymers are joined, the strength of the weld depends critically on the degree of immiscibility. We perform…

Soft Condensed Matter · Physics 2013-10-16 Ting Ge , Gary S. Grest , Mark O. Robbins

The existed theories and methods for calculating interfacial thermal conductance of solid-solid interface lead to diverse values that deviate from experimental measurements. In this letter, We propose a model to estimate the ITC at high…

Materials Science · Physics 2020-11-20 Jinxin Zhong , Zhiguo Wang , Xiaobo Li , Jun Liu , Jun Zhou

An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, of negligible diameter, made up of two consecutive sections of different, isotropic and homogeneous materials. At the…

Analysis of PDEs · Mathematics 2021-09-10 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

Within the theory of interacting continua, we develop a model for a heat conducting mixture of two interacting fluids described in terms of the densities and the velocities for each fluid and the temperature field for the mixture as a…

Soft Condensed Matter · Physics 2021-09-02 Josef Málek , Ondřej Souček

We study a two-component reaction-diffusion system in which one of the reaction terms becomes singularly large. Assuming that the initial data are nonnegative and mutually segregated, we prove that the solution converges to that of the heat…

Analysis of PDEs · Mathematics 2025-06-12 Yuki Tsukamoto

The rapid solidification of a binary mixture in the region of the interface velocities $V$ close to the diffusion speed in the bulk of the liquid phase $V_D$ is considered within the framework of the local nonequilibrium approach. In this…

Materials Science · Physics 2021-07-12 G. L. Buchbinder

We study and predict the interfacial tension, solubility parameters and Flory-Huggins parameters of binary mixtures as functions of pressure and temperature, using multiscale numerical simulation. A mesoscopic approach is proposed for…

Chemical Physics · Physics 2016-02-19 E. Mayoral , E. Nahmad-Achar

Using nonequilibrium molecular dynamics simulations, we study the heat conduction in graphene flakes composed by two regions. One region is mass-loaded and the other one is intact. It is found that the mass interface between the two regions…

Materials Science · Physics 2015-05-30 Jigger Cheh , Hong Zhao

In this work, a thermal energy transfer problem in a one-dimensional multilayer body is theoretically analyzed, considering diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, as well as…

Fluid Dynamics · Physics 2025-01-16 Guillermo Federico Umbricht , Domingo Alberto Tarzia , Diana Rubio