An inverse method to estimate the moving heat source in machining process

• Published in: Applied thermal engineering Vol. 45-46; pp. 64 - 78
• Main Authors: Luchesi, Vanda M., Coelho, Reginaldo T.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.12.2012; Elsevier
• Subjects: Applied sciences; Cutting; Energy; Energy. Thermal use of fuels; Estimates; Exact sciences and technology; Heat conduction; Heat generation; Heat source; Heat sources; Heat transfer; Integral transform; Inverse method; Inverse problem; Milling; Partial differential equations; Theoretical studies. Data and constants. Metering; Thermal engineering; Heat conduction; Heat source; Integral transform; Milling; Inverse problem; Geometry; Integral method; Conduction; Cutting; Unsteady state; Partial differential equation
• ISSN: 1359-4311
• DOI: 10.1016/j.applthermaleng.2012.04.014

The present work propounds an inverse method to estimate the heat sources in the transient two-dimensional heat conduction problem in a rectangular domain with convective bounders. The non homogeneous partial differential equation (PDE) is solved using the Integral Transform Method. The test function for the heat generation term is obtained by the chip geometry and thermomechanical cutting. Then the heat generation term is estimated by the conjugated gradient method (CGM) with adjoint problem for parameter estimation. The experimental trials were organized to perform six different conditions to provide heat sources of different intensities. This method was compared with others in the literature and advantages are discussed. ► The heat source is model by the thermomechanical of the machining process. ► The method considers the influence of the ambient fluid and the intermittent cutting. ► The method admits generalization for other geometry: cylinder and sphere. ► The IEHS can be applied to other processes changing the model of the heat source.