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A good understanding of the heat transfer in fused filament fabrication is crucial for an accurate stress prediction and subsequently for repetitive, high quality printing. This work focuses on two challenges that have been presented when…

Numerical Analysis · Mathematics 2023-05-09 Nathalie Ramos , Christoph Mittermeier , Josef Kiendl

We consider the dunking problem: a solid body at uniform temperature $T_\text{i}$ is placed in a environment characterized by farfield temperature $T_\infty$ and time-independent spatially uniform heat transfer coefficient; we permit…

Numerical Analysis · Mathematics 2024-12-24 Kento Kaneko , Claude Le Bris , Anthony T. Patera

A boundary value problem, which could represent a transcendent temperature conduction problem with evaporation in a part of the boundary, was studied to determine unknown thermophysical parameters, which can be constants or time dependent…

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…

Numerical Analysis · Mathematics 2026-05-12 Shan Zhang , Yajun Wang , Xiaofei Guan

Structural system identification in the presence of thermal loads is challenging, as unmeasured or poorly modeled thermal effects can mask or mimic damage, leading to unreliable conclusions. This work presents an optimization-driven,…

Optimization and Control · Mathematics 2026-03-11 Talhah Shamshad Ali Ansari , Suneth Warnakulasuriya , Ihar Antonau , Harbir Antil , Rainald Löhner , Roland Wüchner

Abstract. The present work considers a change in the momentum under the transfer of a solution through the interface. It is shown that pressure related to the partial volumes of components arises in a solution under diffusion. As a result,…

Statistical Mechanics · Physics 2021-02-16 Alex Guskov

We study the thermal boundary conduction in one-dimensional harmonic and $\phi^{4}$ lattices, both of which consist of two segments coupled by a harmonic interaction. For the ballistic interfacial heat transport through the harmonic…

Statistical Mechanics · Physics 2015-09-30 Xiaodong Cao , Dahai He

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),…

Analysis of PDEs · Mathematics 2024-05-01 Michael Eden , Tom Freudenberg

Estimation of thermal contact resistances between cylinders can be achieved using heating on the cross sections by a laser spot and measurement of the temperature response by IR thermography. This type of measurement makes it possible to…

Medical Physics · Physics 2025-11-25 Thomas Lahens , Alain Sommier , Marie-Marthe Groz , Jean-Christophe Batsale

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a moving contact line. This makes numerical simulations challenging, especially when capillary effects are essential for the dynamics of the flow.…

Fluid Dynamics · Physics 2017-09-18 Hanna Holmgren , Gunilla Kreiss

The flow of fluid confined between a heated rotating cylinder and a cooled stationary cylinder is a canonical experiment for the study of heat transfer in engineering. The theoretical treatment of this system is greatly simplified if the…

Fluid Dynamics · Physics 2015-09-15 Jose M. Lopez , Francisco Marques , Marc Avila

The operation of machine tools often demands a highly accurate knowledge of the tool center point's (TCP) position. The displacement of the TCP over time can be inferred from thermal models, which comprise a set of geometrically coupled…

Numerical Analysis · Mathematics 2023-06-23 Alexandra Bünger , Roland Herzog , Andreas Naumann , Martin Stoll

We report a model-based method for quantifying heat flow and storage in thermal systems using data from multiple thermal sensors. This approach avoids stringent requirements on the system geometry and sensor positions and enables…

Instrumentation and Detectors · Physics 2019-05-24 B. P. MacLeod , D. K. Fork , B. Lam , C. P. Berlinguette

An inverse source problem for the heat equation is considered. Extraction formulae for information about the time and location when and where the unknown source of the equation firstly appeared are given from a single lateral boundary…

Analysis of PDEs · Mathematics 2010-02-16 Masaru Ikehata

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

Recently it was obtained in [Tarzia, Thermal Sci. 21A (2017) 1-11] for the classical two-phase Lam\'e-Clapeyron-Stefan problem an equivalence between the temperature and convective boundary conditions at the fixed face under a certain…

Mathematical Physics · Physics 2018-10-17 Julieta Bollati , Domingo A. Tarzia

We consider the problem of determining the initial heat distribution in the heat equation from a point measurement. We show that this inverse problem is naturally related to the one of recovering the coefficients of Dirichlet series from…

Analysis of PDEs · Mathematics 2015-12-24 Mourad Choulli

A methodology is presented for estimating average values for the temperature and the frictional traction over a tool-workpiece interface using measured values of force and torque applied to the tool. The approach was developed specifically…

Materials Science · Physics 2014-04-01 Paul R. Dawson , Donald E. Boyce

A fast inverse heat conduction model (IHCM) is developed for estimating unknown properties of multi-layer composites considering internal heat generation. This work builds on the validated analytical forward models presented in Part I.…

Applied Physics · Physics 2025-07-10 Gan Fu , Mitrofan Curti , Calina Ciuhu , Elena A. Lomonova

In this paper, we derive a thermodynamically consistent non-isothermal diffuse interface model for phase transition and interface evolution involving heat transfer. This model is constructed by integrating concepts from classical…

Analysis of PDEs · Mathematics 2025-08-05 Chun Liu , Jan-Eric Sulzbach , Yiwei Wang