Chapter
Jul 21, 2016
Study on the Analytic Solution of Two-Dimensional Transient Heat Conduction
Authors: Youzhen Yang [email protected], Hu Wang [email protected], Hailong Ma [email protected], Wenguo Ma [email protected], Shenhu Ding [email protected], and Xiaofang Feng [email protected]Author Affiliations
Publication: Geo-China 2016
Abstract
In present paper, the symplectic method was introduced for the two dimensional transient heat conduction problems. Based on the fundamental equations, the symplectic space constituted by original variable temperature and dual variable heat flux density has been built, which was reduced to finding the eigen solutions and eigen values, so the analytic solutions of temperature field in Hamilton system are obtained. Finally, the distribution of temperature was analyzed with different thickness ratio, time steps. The results showed that symplectic method is effective to study two dimensional transient heat conduction.
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© 2016 American Society of Civil Engineers.
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Published online: Jul 21, 2016
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School of Physics Electrical Information Engineering, Ningxia Univ., Yinchuan 750021, China; Solid Mechanics Institute of Ningxia Univ., Ningxia Univ. E-mail: [email protected]
School of Physics Electrical Information Engineering, Ningxia Univ., Yinchuan 750021, China. E-mail: [email protected]
School of Preparatory Course Dept., Ningxia Univ. E-mail: [email protected]
School of Physics Electrical Information Engineering, Ningxia Univ., Yinchuan 750021, China; Solid Mechanics Institute of Ningxia Univ., Ningxia Univ. E-mail: [email protected]
School of Mathematics and Computer Science, Ningxia Univ. E-mail: [email protected]
School of Physics Electrical Information Engineering, Ningxia Univ., Yinchuan 750021, China. E-mail: [email protected]
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