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Under consideration are mathematical models of heat and mass transfer. We study inverse problems of recovering lower-order coefficients in a second order parabolic equation. The coefficients are representable in the form of a finite…

Analysis of PDEs · Mathematics 2024-12-23 S. G. Pyatkov , O. A. Soldatov

We obtained a new representation of a solution of the heat conduction equation with boundary condition of the third kind for a layer. The result is presented as a superposition of fundamental solutions for an unbounded system with variable…

Mathematical Physics · Physics 2007-05-23 A. S. Usenko

Low-voltage distribution feeders were designed to sustain unidirectional power flows to residential neighborhoods. The increased penetration of roof-top photovoltaic (PV) systems has highlighted pressing needs to address power quality and…

Optimization and Control · Mathematics 2014-01-06 Emiliano Dall'Anese , Sairaj V. Dhople , Georgios B. Giannakis

High-temperature electrolysis (HTE) is a promising technology for achieving high-efficiency power-to-gas, which mitigates the renewable curtailment by transforming wind or solar energy into fuels. Different from low-temperature…

Applied Physics · Physics 2018-10-17 Xuetao Xing , Jin Lin , Yonghua Song , Qiang Hu , You Zhou , Shujun Mu

The temperature distribution in the battery significantly impacts the short-term and long-term performance of battery systems. Therefore, efficient, safe, and reliable battery system operation requires an accurate estimation of the…

Systems and Control · Electrical Eng. & Systems 2021-05-14 Vedang M. Deshpande , Raktim Bhattacharya , Kamesh Subbarao

Deep learning is having a tremendous impact in many areas of computer science and engineering. Motivated by this success, deep neural networks are attracting an increasing attention in many other disciplines, including physical sciences. In…

Hydraulic accumulators play a central role as energy storage in nearly all fluid power systems. The accumulators serve as pulsation dampers or energy storage devices in hydro-pneumatic suspensions. The energy carrying gas is compressed and…

Fluid Dynamics · Physics 2020-12-14 Jakob Hartig , Benedict Depp , Manuel Rexer , Peter F. Pelz

The stable and efficient operation of the transmission network is fundamental to the power system's ability to deliver electricity reliably and cheaply. As average temperatures continue to rise, the ability of the transmission network to…

Optimization and Control · Mathematics 2021-06-25 J. Kyle Skolfield , Jose Ramirez-Vergara , Adolfo R. Escobedo

This work deals with an inverse two-dimensional nonlinear heat conduction problem to determine the top and lateral surface transfer coefficients. For this, the \textsc{B}ayesian framework with the \textsc{M}arkov Chain \textsc{M}onte…

Computational Engineering, Finance, and Science · Computer Science 2022-06-20 Julien Berger , Clemence Legros

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

Heat engines are fundamental physical objects to develop nonequilibrium thermodynamics. The thermodynamic performance of the heat engine is determined by the choice of cycle and time-dependence of parameters. Here, we propose a systematic…

Statistical Mechanics · Physics 2021-09-06 Rongxing Xu

Geothermal Heat Pump (GHP) systems are heating and cooling systems that use the ground as the temperature exchange medium. GHP systems are becoming more and more popular in recent years due to their high efficiency. Conventional control…

Systems and Control · Computer Science 2017-03-01 Xuan Zhang , Wenbo Shi , Qinran Hu , Bin Yan , Ali Malkawi , Na Li

Heat conduction in one-dimensional (1D) systems is studied based on an analytical S-matrix method, which is developed in the mesoscopic electronic transport theory and molecular dynamic (MD) simulations. It is found that heat conduction in…

Statistical Mechanics · Physics 2007-05-23 Xin Zhou , Mitsumasa Iwamoto

This paper investigates an induction heating problem in a multi-component system containing a moving non-magnetic conductor. The electromagnetic process is described by the eddy current model, and the heat transfer process is governed by…

Numerical Analysis · Mathematics 2024-10-10 Van Chien Le , Marián Slodička , Karel Van Bockstal

Soil thermal conductivity is an important physical parameter in modeling land surface processes. Previous studies on evaluations of parameterization schemes of soil thermal conductivity are mostly based on specific experimental conditions…

Atmospheric and Oceanic Physics · Physics 2020-01-29 Yongjiu Dai , Nan Wei , Hua Yuan , Shupeng Zhang , Wei Shangguan , Shaofeng Liu , Xingjie Lu

Thermodynamic systems involving reversible and non-reversible heat transfer are used to derive integral inequalities expected from the Second of Law of Thermodynamics. Then, the inequalities are proved and generalized to higher dimensions…

Classical Analysis and ODEs · Mathematics 2019-01-01 Anuj S. Apte

A numerical analysis of heat conduction through the cover plate of a heat pipe is carried out to determine the temperature of the working substance, average temperature of heating and cooling surfaces, heat spread in the transmitter, and…

Fluid Dynamics · Physics 2017-02-20 Ramachandran. R , S. Anil Lal

In this work we include, for the Carnot cycle, irreversibilities of linear finite rate of heat transferences between the heat engine and its reservoirs, heat leak between the reservoirs and internal dissipations of the working fluid. A…

Classical Physics · Physics 2015-06-26 G Aragon-Gonzalez , A. Canales-Palma , A. Leon-Galicia , J. R. Morales-Gomez

Solar cell thermal recovery is recently attracting more and more attention in the research community as a viable solution to increase photovoltaic efficiency. However the convenience of the implementation of such strategy is bound to the…

Applied Physics · Physics 2018-09-06 Bruno Lorenzi , Maurizio Acciarri , Dario Narducci

Motivated by damage due to heating in sensor operation, we consider the throughput optimal offline data scheduling problem in an energy harvesting transmitter such that the resulting temperature increase remains below a critical level. We…

Information Theory · Computer Science 2016-11-18 Omur Ozel , Sennur Ulukus , Pulkit Grover
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