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
  • [41] Hall and Heat Transfer Effects on the Steady Flow of a Sisko Fluid
    Hayat, Tasawar
    Maqbool, Khadija
    Asghar, Saleem
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (12): : 769 - 782
  • [42] New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives
    Akgul, Esra Karatas
    Akgul, Ali
    Yavuz, Mehmet
    CHAOS SOLITONS & FRACTALS, 2021, 146
  • [43] Steady-State Heat Transfer through an Iced Wall
    V. M. Kharin
    G. V. Agafonov
    V. I. Bardakov
    Theoretical Foundations of Chemical Engineering, 2001, 35 : 597 - 603
  • [44] Steady flow and heat transfer of a Sisko fluid in annular pipe
    Khan, M.
    Munawar, S.
    Abbasbandy, S.
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2010, 53 (7-8) : 1290 - 1297
  • [45] Parallel algorithm and its convergence of spatial domain decomposition of discrete ordinates method for solving radiation heat transfer problem
    Wang Zhenhua
    He Zhihong
    Mu Lei
    Dong Shikui
    Chinese Journal of Aeronautics , 2015, (01) : 77 - 85
  • [46] Parallel algorithm and its convergence of spatial domain decomposition of discrete ordinates method for solving radiation heat transfer problem
    Wang Zhenhua
    He Zhihong
    Mu Lei
    Dong Shikui
    CHINESE JOURNAL OF AERONAUTICS, 2015, 28 (01) : 77 - 85
  • [47] Experimental study on heat transfer performance of axially rotating heat pipe in steady state
    Wang, Huanguang
    Tang, Yuming
    Liu, Meng
    Zhu, Shuai
    Zheng, Keqing
    Du, Xueping
    INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2023, 184
  • [48] A NEW VIRTUAL-PULSE TIME INTEGRAL METHODOLOGY FOR LINEAR TRANSIENT HEAT-TRANSFER PROBLEMS
    CHEN, X
    TAMMA, KK
    SHA, D
    NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1993, 24 (03) : 301 - 314
  • [49] Graphical Solution of the Transient Heat Transfer Problem
    Dilsiz, Resul
    Devres, Y. Onur
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2008, 1048 : 855 - 858
  • [50] A NEW TECHNOLOGY FOR SOLVING DIFFUSION AND HEAT EQUATIONS
    Yang, Xiao-Jun
    Gao, Feng
    THERMAL SCIENCE, 2017, 21 (01): : 133 - 140