NDLI: Semi-Analytical Source (SAS) Method for Heat Conduction Problems with Moving Heat Source

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Semi-Analytical Source (SAS) Method for Heat Conduction Problems with Moving Heat Source

Content Provider	Scilit
Author	Çetin, Barbaros Çetin, Barιş Cole, Kevin D.
Copyright Year	2020
Description	Many scientific problems and industrial applications, such as welding, ablation, and specific surface treatments like laser hardening operations of materials, involve a moving heat source. Modeling of these processes for precise prediction of thermal 2effects is essential to understand the physics of the processes and to optimize process parameters [1-3]. From a thermal engineering point of view, such a process is a heat conduction problem containing a moving-heat-source term and can be expressed as analytical equations. The heat source can be applied internally (volumetric heating) or at the surface (boundary heating) in many manufacturing processes. In the case of constant thermophysical material properties, the problem is governed by a linear differential equation, and it is possible to use analytical methods such as separation of variables, integral transformations, or Green's function method (GFM) [4,5]. Although analytical methods may be limited and may include some mathematical challenges (determining the eigenvalues of complex matrices, difficult-to-calculate integral expressions, etc.), modern symbolic solution tools such as Mathematica, Maple, MatLab may extend existing limits of analytical solution strategies. Book Name: Mathematical Methods in Engineering and Applied Sciences
Related Links	https://content.taylorfrancis.com/books/download?dac=C2019-0-05381-8&isbn=9780429343537&doi=10.1201/9780429343537-1&format=pdf
DOI	10.1201/9780429343537-1
Language	English
Publisher	Informa UK Limited
Publisher Date	2020-01-03
Access Restriction	Open
Subject Keyword	Book Name: Mathematical Methods in Engineering and Applied Sciences Manufacturing Engineering Optimize Thermal Equations Heat Source Analytical Differential Function Treatments
Content Type	Text
Resource Type	Chapter

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