Numerical and Infrared Mapping of Temperature in Heat Affected Zone during Plasma Arc Cutting of Mild Steel

Authors: Dalvir Singh, Somnath Chattopadhyaya

Abstract:

During welding or flame cutting of metals, the prediction of heat affected zone (HAZ) is critical. There is need to develop a simple mathematical model to calculate the temperature variation in HAZ and derivative analysis can be used for this purpose. This study presents analytical solution for heat transfer through conduction in mild steel plate. The homogeneous and nonhomogeneous boundary conditions are single variables. The full field analytical solutions of temperature measurement, subjected to local heating source, are derived first by method of separation of variables followed with the experimental visualization using infrared imaging. Based on the present work, it is suggested that appropriate heat input characteristics controls the temperature distribution in and around HAZ.

Keywords: Conduction Heat Transfer, Heat Affected Zone (HAZ), Infra-Red Imaging, Numerical Method, Orthogonal Function, Plasma Arc Cutting, Separation of Variables, Temperature Measurement.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1109079

References:

[1] Arpasi V.S. (1966) Conduction Heat Transfer. Copyright by Addison- Wesley. Printed in United States of America.
[2] Barcza J. (1993) A numerical method for solution of linear transient heat conduction equations. Periodica Polytechnica Ser. Mech Engg Vol. 37: 263–279.
[3] Morini G. L. (2000). Analytical determination of the temperature distribution and Nusselt numbers in rectangular ducts with constant axial heat flux. International Journal of Heat and Mass Transfer43: 741–755.
[4] Chang C. Y. & Ma C. C. (2001) Transient thermal conduction analysis of a rectangular plate with multiple insulated cracks by the alternating method. International Journal of Heat and Mass Transfer44: 2423– 2437.
[5] Dhawan S. & Kumar S. (2009). A Comparative Study of Numerical Techniques for 2D Transient Heat Conduction Equation Using Finite Element Method. International Journal of Research and Reviews in Applied Sciences ISSN: 2076-734X, EISSN: 2076-7366 Vol. 1 Issue 1: 38–46.
[6] Osman, T. & Boucheffa A. (2009). Analytical solution for the 3D steady state conduction in a solid subjected to a moving rectangular heat source and surface cooling. Comptes Rendus – Mecanique 337(2): 107–111.
[7] Sonavane Y. & Specht E. (2009). Numerical Analysis of the Heat Transfer in the Wall of Rotary Kiln Using Finite Element Method Ansys. Seventh International Conference on CFD in the Minerals and Process Industries, (December), 1–5.
[8] Lin, R.-L. (2010). Explicit full field analytic solutions for twodimensional heat conduction problems with finite dimensions. International Journal of Heat and Mass Transfer, 53(9-10): 1882–1892.
[9] Matian M., Marquis A. J., & Brandon N. P. (2010). Application of thermal imaging to validate a heat transfer model for polymer electrolyte fuel cells. International Journal of Hydrogen Energy, 35(22): 12308– 12316
[10] Danish M., & Kumar S. (2011). Exact Analytical Solutions of Three Nonlinear Heat Transfer Models. Proceedings of the World Congress on Engineering Vol.III.
[11] Shahmardan M. M., Norouzi M., Kayhani M. H., & Amiri Delouei A. (2012). An exact analytical solution for convective heat transfer in rectangular ducts. Journal of Zhejiang University SCIENCE ISSN: 1673- 565X.
[12] Brübach J., Pflitsch C., Dreizler A., & Atakan, B. (2013). On surface temperature measurements with thermographic phosphors: A review. Progress in Energy and Combustion Science39: 37–60.
[13] Cotterell, M., Ares, E., Yanes, J., López, F., Hernandez, P., & Peláez, G. (2013). Temperature and strain measurement during chip formation in orthogonal cutting conditions applied to Ti-6Al-4V. Procedia Engineering63: 922–930.
[14] Nikolay A. V., Alexander V. U., Yulia Y. P. (2014). Combined study of heat exchange near the liquid–gas interface by means of Background Oriented Schlieren and Infrared Thermal Imaging. Experimental Thermal and Fluid Science 59:238-245.
[15] Salimi S., Bahemmat P., & Haghpanahi M. (2014). A 3D transient analytical solution to the temperature field during dissimilar welding processes. International Journal of Mechanical Sciences79: 66–74.
[16] Yang K., Gao X., & Liu Y.F. (2014). New analytical expressions in radial integration BEM for solving heat conduction problems with variable coefficients. Engineering Analysis with Boundary Elements 50:224-230.