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research-article

A fast approximate method for heat conduction in an inhomogeneous half space subjected to frictional heating

[+] Author and Article Information
Xiujiang Shi

School of Mechatronics Engineering, Harbin Institute of Technology, Heilongjiang 150001 , China; Department of Mechanical Engineering, Northwestern University, Evanston, IL, 60208, USA
shixiujiang@163.com

Liqin Wang

School of Aeronautics and Astronautics, Sichuan University, Chengdu, Sichuan 610065, China
lqwanghit@163.com

Qinghua Zhou

School of Aeronautics & Astronautics 401A Xingzhenglou, Sichuan University Chengdu, Sichuan 610065 China
qh.zhou@foxmail.com

Qian Wang

Department of Mechanical Engineering, Northwestern University, Evanston, IL, 60208, USA
qwang@northwestern.edu

1Corresponding author.

ASME doi:10.1115/1.4038953 History: Received August 25, 2017; Revised November 18, 2017

Abstract

This paper reports a new three-dimensional model for heat conduction in a half space containing inhomogeneities, applicable to frictional heat transfer, together with a novel combined algorithm of the equivalent inclusion method (EIM) and the imaging inclusion approach for building this model. The influence coefficients (ICs) for temperature and heat flux are obtained via converting the frequency response function (FRF) and integrating Green's function. The model solution is based on the discrete convolution and fast Fourier transform (DC-FFT) algorithm using the ICs, convenient for solving problems involving multiple elliptical inhomogeneities with arbitrary orientations. A group of parametric studies are conducted for understanding the thermal fields in the inhomogeneous half space due to surface frictional heating, influenced by the properties of the inhomogeneity, its depth and orientation.

Copyright (c) 2017 by ASME
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