scholarly journals Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation

2021 ◽  
Vol 258 ◽  
pp. 09071
Author(s):  
Alexandr Kanareykin
Keyword(s):  
Temperature Field ◽  
Boundary Conditions ◽  
Hypergeometric Functions ◽  
Heat Dissipation ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Infinite Length ◽  
Elliptical Cross ◽  
The Third ◽  
Elliptic Coordinate

The article calculates the temperature field in an elliptical body with internal heat dissipation. In this case, the boundary conditions are boundary conditions of the third kind. The solution is located at the transition to the elliptic coordinate system. The author has obtained an analytical solution for the distribution of the temperature field in a body with an elliptical cross-section of infinite length with zero ambient temperature with partial adiabatic isolation in the form of a functional series using hypergeometric functions.

scholarly journals Calculation of temperature field in gas flow with internal heat source

2015 ◽  
Vol 19 (2) ◽  
pp. 735-738 ◽  
Author(s):  
Alexander Gerasimov ◽  
Alexander Kirpichnikov ◽  
Leonid Rachevsky
Keyword(s):  
Temperature Field ◽  
Heat Source ◽  
Gas Flow ◽  
Internal Heat ◽  
Internal Heat Source

scholarly journals Inhomogeneous Temperature Distribution Affecting the Cyclic Aging of Li-Ion Cells. Part I: Experimental Investigation

Batteries ◽  
2020 ◽  
Vol 6 (1) ◽  
pp. 13 ◽  
Author(s):  
Daniel Werner ◽  
Sabine Paarmann ◽  
Achim Wiebelt ◽  
Thomas Wetzel
Keyword(s):  
Boundary Conditions ◽  
Heat Dissipation ◽  
Single Cells ◽  
Internal Heat ◽  
Lithium Ion ◽  
Ambient Air ◽  
Substantial Impact ◽  
Temperature Changes ◽  
Thermal Boundary Conditions ◽  
Cyclic Degradation

Alongside electrical loads, it is known that temperature has a strong influence on battery behavior and lifetime. Investigations have mainly been performed at homogeneous temperatures and non-homogeneous conditions in single cells have at best been simulated. This publication presents the development of a methodology and experimental setup to investigate the influence of thermal boundary conditions during the operation of lithium-ion cells. In particular, spatially inhomogeneous and transient thermal boundary conditions and periodical electrical cycles were superimposed in different combinations. This required a thorough design of the thermal boundary conditions applied to the cells. Unlike in other contributions that rely on placing cells in a climatic chamber to control ambient air temperature, here the cell surfaces and tabs were directly connected to individual cooling and heating plates. This improves the control of the cells’ internal temperature, even with high currents accompanied by strong internal heat dissipation. The aging process over a large number of electrical cycles is presented by means of discharge capacity and impedance spectra determined in repeated intermediate characterizations. The influence of spatial temperature gradients and temporal temperature changes on the cyclic degradation is revealed. It appears that the overall temperature level is indeed a decisive parameter for capacity fade during cyclic aging, while the intensity of a temperature gradient is not as essential. Furthermore, temperature changes can have a substantial impact and potentially lead to stronger degradation than spatial inhomogeneities.

scholarly journals ANALYTICAL SOLUTION OF THE EQUATION OF CONDUCTIVITY FOR VARIOUS BOUNDARY CONDITIONS

2019 ◽  
Vol 2019 (4) ◽  
pp. 33-37
Author(s):  
Vadim Krys'ko ◽  
Olga Saltykova ◽  
Alexey Tebyakin
Keyword(s):  
Analytical Solution ◽  
Finite Difference Method ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Solution Method ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Two Dimensional ◽  
Various Boundary Conditions ◽  
The Finite Difference Method

The aim of the work is to obtain an analytical solution of the heat equation for various boundary conditions in the case of a two-dimensional body. As a solution method, the method of variational iterations is used. In the work, both an analytical and a numerical solution of the problem are obtained for the boundary conditions of various types and taking into account the internal heat source. To obtain a numerical solution, the finite difference method was used. The results are compared and the conclusion is made on the reliability of the decisions.

Solution of Transient Temperature Field for Thermographic NDT Under Joule Effect Heating

2005 ◽  
Vol 127 (7) ◽  
pp. 670-674 ◽  
Author(s):  
Zhuo Qiu Li ◽  
Xiong Zhang ◽  
Jiang Tao Zhang
Keyword(s):  
Temperature Field ◽  
Flaw Detection ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Source Distribution ◽  
Transient Temperature ◽  
Joule Effect ◽  
Transient Temperature Field ◽  
Geometric Boundary ◽  
Heat Source Distribution

Conducting infrared thermographic nondestructive testing (NDT) by the internal heat generated by Joule effect of components is a new heating approach for flaw detection. Due to the combination of electric field and thermal field, the irregular geometric boundary and the complicated internal heat source distribution, the theoretical solution of transient temperature field is very difficult. Nowadays numerical solution by FEM and FDM is mainly applied. By adopting certain assumptions, this paper presents a method to obtain the approximate temperature field by using Green’s function, and gives the solution of a two-dimensional rectangular field including a circular flaw. By contrast, the result tallies with the FEM results well.

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