NEW INTEGRAL TRANSFORMS FOR SOLVING A STEADY HEAT TRANSFER PROBLEM

被引:35
|
作者
Yang, Xiao-Jun [1 ,2 ]
机构
[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou, Peoples R China
[2] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou, Peoples R China
来源
THERMAL SCIENCE | 2017年 / 21卷
关键词
heat transfer; Fourier-like integral transform; analytical solution;
D O I
10.2298/TSCI17S1079Y
中图分类号
O414.1 [热力学];
学科分类号
摘要
The new Fourier-like integral transforms Pi(kappa) = kappa integral(infinity)(-infinity) Pi(t)e(-iota kappa t), Pi(lambda) = 1/lambda integral(infinity)(-infinity)Pi(t)e(-iota lambda t) dt Pi(gamma) = 1/gamma integral(infinity)(-infinity) Pi(t)e(-iota t/gamma)dt, Pi(zeta) = zeta integral(infinity)(-infinity) Pi(t)e(-it/zeta) dt are addressed for the first time. They are used to handle a steady heat transfer equation. The proposed methods are efficient and accurate.
引用
收藏
页码:S79 / S87
页数:9
相关论文
共 50 条
  • [31] The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
    Sphaier, L. A.
    Cotta, R. M.
    Naveira-Cotta, C. P.
    Quaresma, J. N. N.
    INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2011, 38 (05) : 565 - 571
  • [32] Use of integral boundary-layer theory for solving conjugate problems of heat transfer in channels of high-power plants
    B. B. Petrikevich
    S. D. Panin
    A. V. Astrakhov
    Journal of Engineering Physics and Thermophysics, 2000, 73 (1) : 131 - 137
  • [33] SPECIAL AVERAGING METHOD FOR SOLVING SOME 3-D HEAT TRANSFER PROBLEMS
    Aboltins, Aivars
    Kangro, Ilmars
    Kalis, Harijs
    20TH INTERNATIONAL SCIENTIFIC CONFERENCE ENGINEERING FOR RURAL DEVELOPMENT, 2021, : 1728 - 1739
  • [34] Meshless Local Petrov-Galerkin Mixed Collocation Method for Solving Cauchy Inverse Problems of Steady-State Heat Transfer
    Zhang, Tao
    He, Yiqian
    Dong, Leiting
    Li, Shu
    Alotaibi, Abdullah
    Atluri, Satya N.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2014, 97 (06): : 509 - 533
  • [35] Concurrent shape and topology optimization for steady conjugate heat transfer
    Makhija, David S.
    Beran, Philip S.
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2019, 59 (03) : 919 - 940
  • [36] Steady Heat Transfer Analysis of Leaf Spring Rotary Engine
    Wang, Dongjie
    Zuo, Zhengxing
    MECHATRONICS AND APPLIED MECHANICS, PTS 1 AND 2, 2012, 157-158 : 901 - 906
  • [37] Turbocharger Heat Transfer Modeling Under Steady and Transient Conditions
    Cormerais, Mickael
    Chesse, Pascal
    Hetet, Jean-Francois
    INTERNATIONAL JOURNAL OF THERMODYNAMICS, 2009, 12 (04) : 193 - 202
  • [38] Concurrent shape and topology optimization for steady conjugate heat transfer
    David S. Makhija
    Philip S. Beran
    Structural and Multidisciplinary Optimization, 2019, 59 : 919 - 940
  • [39] Steady-state heat transfer through an iced wall
    Kharin, VM
    Agafonov, GV
    Bardakov, VI
    THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING, 2001, 35 (06) : 597 - 603
  • [40] NUMERICAL COUPLING PROCEDURE IN STEADY CONJUGATE HEAT TRANSFER PROBLEMS
    Errera, M. -P.
    Chemin, S.
    COMPUTATIONAL METHODS FOR COUPLED PROBLEMS IN SCIENCE AND ENGINEERING V, 2013, : 918 - 926