An approximate analytic solution of a particular boundary value problem

Abstract

This note is concerned with the three-dimensional quasi-steady-state heat conduction equation subject to certain boundary conditions in the wholex′y′-plane and finite inz′-direction. This type of boundary value problem arises in laser welding process. The solution to this problem can be represented by an integral using Fourier analysis. This integral is approximated to obtain a simple analytic expression for the temperature distribution.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 01, 2001
Source ID
10.1155/s0161171201006469

Entities

People

  • Aravinda Kar
  • Ugur Tanriver

Organizations

  • United States Air Force
  • University of Central Florida

Tags

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.
  • Thermal Physics or Thermal Science.

Technology Areas

  • Directed Energy