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首页> 外文期刊>Journal of Heat Transfer >A New Approach to Thermal Analysis of a Multilayered Cylindrical Structure With Imperfect Bonds and Internal Heat Source
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A New Approach to Thermal Analysis of a Multilayered Cylindrical Structure With Imperfect Bonds and Internal Heat Source

机译:具有不完美键和内部热源的多层圆柱结构热分析的新方法

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摘要

In the present research, a new and straightforward mathematical model, named augmented state-space method, is introduced to solve the heat conduction equation for a multilayered orthotropic hollow cylinder with bonding imperfection in the presence of heat source. Since such problems including heat source are inherently inhomogeneous and complex, augmented state-space method converts these inhomogeneous equations into homogeneous ones. The transient solution will be achieved by present method based on laminate approximation theory in the Laplace domain, and then the solutions obtained are retrieved into the time domain by applying the numerical Laplace transform inversion. All material properties can be considered to vary continuously within the cylinder along the radial direction with arbitrary grading pattern. Based on the proposed method, the solution of heat conduction problem can be also obtained for general boundary conditions which may be included various combinations of arbitrary temperature, flux, or convection. Due to lack of any data on the transient thermal analysis corresponding to problems with imperfect bonds in the cylindrical coordinate system (r, θ), comparison is carried out with the available results for the three-layer semi-circular annular region with perfect bonds in the literature. Finally, the influence of orthotropy and interface imperfection on the distribution of the temperature field for three-layer hollow cylinder, in which the second layer is made of orthotropic functionally graded material (FGM), will be visualized.
机译:在本研究中,引入了一种新的直接数学模型,称为增强状态空间法,以解决存在热源时具有粘结缺陷的多层正交异性空心圆柱的热传导方程。由于包括热源在内的此类问题本来就不均匀且复杂,因此增强状态空间方法将这些不均匀方程转换为齐次方程。通过本方法基于层积近似理论的瞬时解将在Laplace域中获得,然后通过应用数值Laplace变换反演将获得的解取回时域。可以认为所有材料特性在圆柱体内沿径向以任意渐变模式连续变化。基于所提出的方法,还可以针对一般边界条件获得导热问题的解决方案,该边界条件可以包括任意温度,通量或对流的各种组合。由于缺乏瞬态热分析方面的任何数据,这些数据与圆柱坐标系(r,θ)中不完美键的问题相对应,因此与具有完美键的三层半圆形环形区域的可用结果进行了比较。文献。最后,将看到正交各向异性和界面缺陷对三层空心圆柱体温度场分布的影响,其中第二层由正交各向异性功能梯度材料(FGM)制成。

著录项

  • 来源
    《Journal of Heat Transfer》 |2016年第12期|122801.1-122801.8|共8页
  • 作者单位

    Department of Mechanical Engineering,Iran University of Science and Technology,Narmak, Tehran 16844, Iran;

    Department of Mechanical Engineering,Iran University of Science and Technology,Narmak, Tehran 16844, Iran;

    Department of Mechanical Engineering,Iran University of Science and Technology,Narmak, Tehran 16844, Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
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