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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…

偏微分方程分析 · 数学 2021-09-10 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

An accurate and comprehensive numerical solution to the parabolic free boundary problem arising from thin film flow with both velocity and temperature distribution at large Reynolds numbers is obtained using a modified Keller box method. A…

流体动力学 · 物理学 2024-08-20 Jian-Jun Shu , Graham Wilks

We introduce a new method of solution for the convective heat transfer under forced laminar flow that is confined by two parallel plates with a distance of 2a or by a circular tube with a radius of a. The advection-conduction equation is…

数学物理 · 物理学 2018-08-30 Zhijie Xu

Convection is a key transport phenomenon important in many different areas, from hydrodynamics and ocean circulation to planetary atmospheres or stellar physics. However its microscopic understanding still remains challenging. Here we…

统计力学 · 物理学 2022-07-29 P. L. Garrido , P. I. Hurtado

We develop a two-fluid model (TFM) for heat transfer in dense non-Brownian suspensions. Specifically, we propose closure relations for the inter-phase heat transfer coefficient and the thermal diffusivity of the particle phase based on…

流体动力学 · 物理学 2021-11-05 Pranay P. Nagrani , Federico Municchi , Amy M. Marconnet , Ivan C. Christov

In this article, we present the governing equations for the temperature field upstream and downstream of the periodically developed flow region in channels with arrays of periodic solid structures. From the ansatz that the temperature field…

流体动力学 · 物理学 2024-03-26 Geert Buckinx

Mist/air two-phase flow is a promising cooling technique for many applications such as internal cooling of gas turbine blades. A significant enhancement of heat transfer can be achieved with a low mass fraction of droplets by utilizing the…

流体动力学 · 物理学 2024-07-09 Junxian Cao , Mengqi Ye , Haiwang Li , Tianyou Wang , Zhizhao Che

The effects of MHD boundary layer flow of non-linear thermal radiation with convective heat transfer and non-uniform heat source/sink in presence of thermophortic velocity and chemical reaction investigated in this study. Suitable…

流体动力学 · 物理学 2017-02-08 Shalini Jain , Rakesh Choudhary

We propose a numerical approach for solving conjugate heat transfer problems using the finite volume method. This approach combines a semi-implicit scheme for fluid flow, governed by the incompressible Navier-Stokes equations, with an…

数值分析 · 数学 2025-03-18 Liang Fang , Xiandong Liu , Lei Zhang

Considering high-temperature heating, the equations of transient heat conduction model require an adaptation, i.e. the dependence of thermophysical parameters of the model on the temperature is to be identified for each specific material to…

系统与控制 · 电气工程与系统科学 2022-07-04 Zhukov Petr , Glushchenko Anton , Fomin Andrey

Convection-diffusion equations provide the basis for describing heat and mass transfer phenomena as well as processes of continuum mechanics. To handle flows in porous media, the fundamental issue is to model correctly the convective…

数值分析 · 计算机科学 2012-08-29 A. Churbanov , P. Vabishchevich

In this work, we design and analyze a novel, provably conditionally stable, weakly coupled partitioned scheme to solve the conjugate heat transfer (CHT) problem. We consider a model CHT problem consisting of linear advection-diffusion and…

数值分析 · 数学 2026-02-23 Sarah Nataj , David C. Del Rey Fernández , David Brown , Rajeev Jaiman

We propose a minimal model aiming to describe heat transfer between particles (i.e. grains) and gases in a model of flighted rotary kilns. It considers a channel in which a convective gas interacts with a granular suspension and a granular…

软凝聚态物质 · 物理学 2016-12-20 Laurédan Le Guen , Maxime Piton , Quentin Hénaut , Florian Huchet , Patrick Richard

We study heat transfer in plane Couette flow laden with rigid spherical particles by means of direct numerical simulations using a direct-forcing immersed boundary method to account for the dispersed phase. A volume of fluid approach is…

流体动力学 · 物理学 2016-11-08 Mehdi Niazi Ardekani , Omid Abouali , Francesco Picano , Luca Brandt

We consider the steady heat transfer between a collection of impermeable obstacles immersed in an incompressible 2D potential flow, when each obstacle has a prescribed boundary temperature distribution. Inside the fluid, the temperature…

流体动力学 · 物理学 2025-09-12 Kyle McKee , Keaton Burns

In this paper, we propose and analyze a new semi-implicit stochastic multiscale method for the radiative heat transfer problem with additive noise fluctuation in composite materials. In the proposed method, the strong nonlinearity term…

数值分析 · 数学 2026-05-12 Shan Zhang , Yajun Wang , Xiaofei Guan

In stars and planets natural processes heat convective flows in the bulk of a convective region rather than at hard boundaries. By characterizing how convective dynamics are determined by the strength of an internal heating source we can…

流体动力学 · 物理学 2024-04-16 Whitney T. Powers , Evan H. Anders , Benjamin P. Brown

Inverse problems of recovering heat transfer coefficient from integral measurements are considered. The heat transfer coefficient occurs in the transmission conditions of imperfect contact type or the Robin type boundary conditions. It is…

偏微分方程分析 · 数学 2024-01-04 Sergey Grigorievich Pyatkov

We establish a theoretical framework for predicting friction and heat transfer coefficients in variable-properties forced air convection. Drawing from concepts in high-speed wall turbulence, which also involves significant temperature,…

流体动力学 · 物理学 2024-12-18 Davide Modesti , Sergio Pirozzoli

We are investigating the effective heat transfer in complex systems involving porous media and surrounding fluid layers in the context of mathematical homogenization. We differentiate between two fundamentally different cases: Case (a),…

偏微分方程分析 · 数学 2024-05-01 Michael Eden , Tom Freudenberg