Mathematical model of heat conduction in a prolate spheroidal coordinate system with applications to the theory of welding

Keyphrases

• Mathematical Model 100%
• Weld Pool 100%
• Prolate Spheroidal Coordinates 100%
• Heat Conduction 100%
• High Peclet number 40%
• Weld Pool Geometry 40%
• Exact Solutions 20%
• Circular Cross-section 20%
• Aspect Ratio 20%
• Solution Method 20%
• Spheroidal 20%
• Simple Solution 20%
• Laser Welding 20%
• Prolate 20%
• Asymptotic Results 20%
• Smooth Shape 20%
• Elliptical Cross-section 20%
• Global Form 20%
• Tangent Plane 20%
• Heat Conduction Equation 20%
• Asymptotic Methods 20%
• Asymptotic Form 20%
• Geometric Configuration 20%
• Steady-state Heat Conduction 20%
• Translation Quality 20%
• Low Peclet number 20%

Mathematics

• Spheroidal Coordinate 100%
• Peclet Number 100%
• Heat Conduction 100%
• Aspect-Ratio 50%
• Asymptotics 50%
• Asymptotic Form 50%
• Tangent Plane 50%
• Asymptotic Analysis 50%
• Heat Conduction Equation 50%
• Cross Section 50%
• Limiting Case 50%
• Spheroidal 50%

Engineering

• Welds 100%
• Coordinate System 100%
• Spheroidal 100%
• Peclet Number 25%
• Circular Cross Section 12%
• Laser Beam Welding 12%
• Limiting Case 12%
• Solid Region 12%
• Minor Alteration 12%
• Geometric Configuration 12%
• Tangent Plane 12%
• Heat Conduction Equation 12%
• Aspect Ratio 12%