Investigation of Numerical Evaluation Improvement for Three-Dimensional Infinite Cylindrical Heat Conduction Problems-Reference-Cited by-同舟云学术

Investigation of Numerical Evaluation Improvement for Three-Dimensional Infinite Cylindrical Heat Conduction Problems

Published:2020-02-20 Issue:4 Volume:142 Page:
ISSN:0022-1481
Container-title:Journal of Heat Transfer
language:en
Short-container-title:

Author:

Pi Te¹,Cole Kevin²,Zhao Qingjun³,Zhao Wei⁴

Affiliation:

1. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China

2. Mechanical & Materials Engineering Department, University of Nebraska Lincoln, W342C NH, Lincoln, NE 68588-0526

3. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China; School of Aeronautics and Astronautics, University of Chinese Academy of Sciences, Beijing 100190, China; Key Laboratory of Light-Duty Gas-Turbine, Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China

4. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China; School of Aeronautics and Astronautics, University of Chinese Academy of Sciences, Beijing 100190, China

Abstract

Abstract To estimate the thermal properties from transient data, a model is needed to produce numerical values with sufficient precision. Iterative regression or other estimation procedures must be applied to evaluate the model again and again. From this perspective, infinite or semi-infinite heat conduction problems are a challenge. Since the analytical solution usually contains improper integrals that need to be computed numerically, computer-evaluation speed is a serious issue. To improve the computation speed with precision maintained, an analytical method has been applied to three-dimensional (3D) cylindrical geometries. In this method, the numerical evaluation time is improved by replacing the integral-containing solution by a suitable finite body series solution. The precision of the series solution may be controlled to a high level and the required computer time may be minimized by a suitable choice of the extent of the finite body. The practical applications for 3D geometries include the line-source method for obtaining thermal properties, the estimation of thermal properties by the laser-flash method, and the estimation of aquifer properties or petroleum-field properties from well-test measurements. This paper is an extension of earlier works on one-dimensional (1D) and two-dimensional (2D) cylindrical geometries. In this paper, the computer-evaluation time for the finite geometry 3D solutions is shown to be hundreds of times faster than the infinite or semi-infinite solution with the precision maintained.

Funder

National Key Research and Development Program of China

National Natural Science Foundation of China

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://asmedigitalcollection.asme.org/heattransfer/article-pdf/doi/10.1115/1.4045796/6485671/ht_142_04_044501.pdf

Reference22 articles.

1. Methodology to Generate Accurate Solutions for Verification in Transient Three-Dimensional Heat Conduction;J. Numer. Heat Transfer, Part B,2002

2. Standard for Verification and Validation in Computational Fluid Dynamics and Heat Transfer;ASME,2009

3. Intrinsic Verification Methods in Linear Heat Conduction;Int. J. Heat Mass Transfer,2006

4. Anisotropic Thermal Conductivity Measurements of Carbon-Fiber/Epoxy Composites;Int. J. Heat Mass Transfer,2012

5. Thermal Characterization of Microscale Conductive and Nonconductive Wires Using Transient Electrothermal Technique;J. Appl. Phys.,2007