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The Mathematics of Thermal Modeling An Introduction to the Theory of Laser Material Processing 2nd Edition by John Michael Dowden ISBN 1032657774 9781032657776

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The Mathematics of Thermal Modeling An Introduction to the Theory of Laser Material Processing 2nd Edition John Michael. Dowden Digital Instant Download

Author(s): JOHN MICHAEL. DOWDEN
ISBN(s): 9781032657776, 1032657774
Edition: 2nd
File Details: PDF, 6.97 MB
Year: 2024
Language: english
SKU: EB-57972370 Category: Tag:

The Mathematics of Thermal Modeling An Introduction to the Theory of Laser Material Processing 2nd Edition by John Michael Dowden – Ebook PDF Instant Download/Delivery: 1032657774, 9781032657776
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ISBN 10: 1032657774 
ISBN 13: 9781032657776
Author: John Michael Dowden

The Mathematics of Thermal Modeling, Second 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 Master’s 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.

The Mathematics of Thermal Modeling An Introduction to the Theory of Laser Material Processing 2nd Table of contents:

1 Thermal Modeling
1.1 Introduction
1.2 Dimensions and Dimensionless Numbers
1.3 Two Examples
Notes
References

2 Physical Principles
2.1 Governing Equations
 2.1.1 Conservation Equations
 2.1.2 The Equation of Conservation of Mass
 2.1.3 The Equation of Heat Conduction
 2.1.4 Dynamics of a Continuous Medium
 2.1.5 Euler’s Equation for an Ideal Fluid
 2.1.6 The Navier–Stokes Equations for a Viscous Fluid
 2.1.7 Equations of Linear Thermoelasticity
 2.1.8 Plasticity
2.2 Boundary Conditions
 2.2.1 General Considerations
 2.2.2 Thermal Boundary Conditions
 2.2.3 Dynamical Boundary Conditions
 2.2.4 Other Conditions
 2.2.5 Comments on the Fluid Boundary Conditions
 2.2.6 Elastic Boundary Conditions
2.3 Vectors and Cartesian Tensors
 2.3.1 Basic Relations
 2.3.2 Integral Theorems
2.4 Summary of Equations and Conditions
 2.4.1 General
 2.4.2 Thermal Equations and Conditions
 2.4.3 Fluid Motion
 2.4.4 Thermoelasticity
Notes
References

3 The Temperature in Blocks and Plates
3.1 The Temperature Distribution
3.2 The Point Source Solution
 3.2.1 Special Solutions
 3.2.2 Applications of the Point Source Solution
3.3 The Temperature Distribution in Plates
3.4 Fresnel Absorption
3.5 The Line Source Solution
Notes
References

4 Time-Dependent Solutions in Blocks
4.1 Time-Dependent One-Dimensional Solutions
4.2 Surface Heating from Cold
4.3 Time-Dependent Point and Line Sources
4.4 The Thermal History of a Material Element
4.5 Waves and the Weld
 4.5.1 Waves on a Deep Weld Pool
 4.5.2 High-Frequency Circular Standing Waves
 4.5.3 Waves of Long Period on the Weld Pool
 4.5.4 Waves in the Vapor in the Keyhole
Notes
References

5 Moving Boundary Problems
5.1 Stefan Problems
5.2 Neumann’s Problem
Notes
References

6 Simple Models of Laser Keyhole Welding
6.1 Laser Keyhole Welding
6.2 Point and Line Source Models
6.3 The Relation between Power Absorbed and Keyhole Radius
 6.3.1 The Line Source as a Model of the Keyhole
 6.3.2 The Davis–Noller Solution
 6.3.3 Other Two-Dimensional Thermal Models for the Solid and Liquid Phases
6.4 The Liquid–Vapor Interface
6.5 The Keyhole
6.6 Numerical Examples
Notes
Further Reading
 The workpiece
 The weld pool
 The keyhole
References

7 The Fluid Regions in Keyhole Welding
7.1 Flow in the Weld Pool
7.2 Interaction of Motion in the Weld Pool with the Keyhole
7.3 Laser Heating of the Vapor in the Keyhole
Notes
Further Reading
 The weld pool
 The keyhole
References

8 Thermoelastic Problems
8.1 Thermal Expansion
8.2 The Scabbling of Concrete
8.3 Two-Dimensional Models
8.4 Elastic Green’s Functions for a Semi-infinite Domain
8.5 Stresses in a Metal Workpiece
8.6 Conclusion

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Tags: John Michael Dowden, Mathematics, Thermal Modeling, Laser Material