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The Mathematics of Thermal Modeling 2nd Edition provides an introduction to the basics of the mathematics and physics needed to understand and use the physical principles employed in constructing models of a number of aspects of thermal modeling in industrial processes, notably laser welding; most of the techniques are applicable to many other technological processes, however. The book demonstrates how insight can be gained from mathematical enquiry at a simple level and helps workers understand the way in which more sophisticated models can be constructed. Some necessary but less familiar mathematical techniques are explained in greater detail than before and some discussion of wave-like features in welds is now included. An understanding will be gained of the importance of studying the interaction of multiple features.The book is equally suitable for engineers and material scientists at the Masters or first year PhD level at university, to similar students with a background in mathematics or physics who are new to laser or industrial technology, or for research workers coming to mathematical modeling of industrial thermal processes for the first time, whatever stage they have reached in their career development.
This book introduces the mathematics needed to formulate and exploit the physical principles important to modelling various aspects of laser material processing. The author shows readers how to gain insight from the construction of simple models and how these methods can be applied to laser welding, surface treatment, drilling, and cutting. He demonstrates that simple mathematical investigation, primarily analytical methods backed up by relatively simple numerical methods, can greatly illuminate the processes being studied. Written at a level accessible to graduate students, the treatment includes numerous examples and frequent references to standard texts.
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