Non-stationary heat transfer in composite membrane with circular inclusions in hexagonal lattice structures

被引：0
|
作者：
I. V. Andrianov
J. Awrejcewicz
G. A. Starushenko
机构：
[1] RWTH Aachen University,Chair and Institute of General Mechanics
[2] Lodz University of Technology,Department of Automation, Biomechanics and Mechatronics
[3] Dnipropetrovs’k Regional Institute of State Management,undefined
[4] of National Academy of State Management at the President of Ukraine,undefined
来源：
Acta Mechanica | 2022年 / 233卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Unsteady heat conduction in fibre composite materials is studied. 2D composite media consist of a matrix with circular inclusions in hexagonal lattice structures. Perfect contact between different materials is assumed on the boundary of the fibres. The temperature field is modelled by a heat equation. Laplace transform and asymptotic homogenization method are used. Then, the original problem for a multi-connected domain is reduced to the recurrent system of boundary value problems in simply connected domains. Employing an additional small parameter and thin layer asymptotics, the analytical solution of the local problem can be obtained. In particular, a closed-form expression for effective heat conductivity is reported. The case of Newton's cooling law is studied separately.
引用
收藏
页码：1339 / 1350
页数：11
相关论文
共 50 条
  • [31] Viscous Drag and Heat Transfer in Non-Stationary Gas Flow between Rotating Cylinders
    Gospodinov, P.
    Dankov, D.
    Roussinov, V.
    APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES, 2013, 1561 : 363 - 368
  • [32] Non-stationary radiative-conductive heat transfer in a layer with partially absorbing boundaries
    N. A. Rubtsov
    S. D. Sleptsov
    Thermophysics and Aeromechanics, 2009, 16 : 283 - 289
  • [33] Simulation of non-stationary heat transfer processes in autoclaved aerated concrete-walls
    Gorshkov, A. S.
    Rymkevich, P. P.
    Vatin, N. I.
    MAGAZINE OF CIVIL ENGINEERING, 2014, 52 (08): : 38 - 48
  • [34] Non-stationary radiative-conductive heat transfer in a layer with partially absorbing boundaries
    Rubtsov, N. A.
    Sleptsov, S. D.
    THERMOPHYSICS AND AEROMECHANICS, 2009, 16 (02) : 283 - 289
  • [35] Experimental setup for comprehensive study of non-stationary heat transfer in complex liquid media
    Rutin, S. B.
    Lipchak, A. I.
    REVIEW OF SCIENTIFIC INSTRUMENTS, 2024, 95 (10):
  • [36] CFD-simulation of non-stationary heat transfer of water and nanofluid in saturated state
    E. Strativnov
    Nie Guochao
    Applied Nanoscience, 2022, 12 : 825 - 833
  • [37] NON-STATIONARY NATURAL CONVECTION HEAT TRANSFER . SPECIAL SOLUTIONS FOR VERTICAL FLAT PLATES
    MADEJSKI, J
    ARCHIWUM MECHANIKI STOSOWANEJ, 1967, 19 (03): : 421 - &
  • [38] THE INVERSE NON-STATIONARY HEAT-TRANSFER PROBLEMS ON THE BASIS OF STOCHASTIC-APPROXIMATION OF THE TRANSFER EQUATION
    GRECHANY, OA
    KRIVOSHEY, FA
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1989, (12): : 68 - 70
  • [39] USE OF NUMERICAL MODELS FOR NON-STATIONARY HEAT TRANSFER COMPRESSION BETWEEN TWO MEDIA
    Tarrazo-Serrano, Daniel
    Castineira-Ibanez, Sergio
    Tarrazo-Morell, Jose
    Rubio-Michavila, Constanza
    INTED2017: 11TH INTERNATIONAL TECHNOLOGY, EDUCATION AND DEVELOPMENT CONFERENCE, 2017, : 4944 - 4949
  • [40] Simulation of flow and heat transfer around a heated stationary circular cylinder by lattice gas automata
    Chen, Hongsheng
    Zheng, Zhong
    Chen, Zhiwei
    Bi, Xiaotao T.
    POWDER TECHNOLOGY, 2016, 290 : 72 - 82
12345