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Temperature field determination in slabs, circular plates and spheres with saw tooth heat generating sources.

机译:带有锯齿生热源的平板,圆板和球体的温度场测定。

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摘要

The Green's functions integral technique is used to determine the conduction heat transfer temperature field in flat plates, circular plates, and solid spheres with saw tooth heat generating sources. In all cases the boundary temperature is specified (Dirichlet's condition) and the thermal conductivity is constant.;The method of images is used to find the Green's function in infinite solids, semi-infinite solids, infinite quadrants, circular plates, and solid spheres. The saw tooth heat generation source has been modeled using Dirac delta function and Heaviside step function.;The use of Green's functions allows obtain the temperature distribution in the form of an integral that avoids the convergence problems of infinite series. For the infinite solid and the sphere, the temperature distribution is three-dimensional and in the cases of semi-infinite solid, infinite quadrant and circular plate the distribution is two-dimensional.;The method used in this work is superior to other methods because it obtains elegant analytical or quasi-analytical solutions to complex heat conduction problems with less computational effort and more accuracy than the use of fully numerical methods.
机译:Green函数积分技术用于确定带有锯齿热源的平板,圆盘和固体球体中的传导传热温度场。在所有情况下都指定了边界温度(狄利克雷条件),并且热导率是恒定的。图像方法用于在无限实体,半无限固体,无限象限,圆板和实心球体中找到格林函数。锯齿状发热源已使用Dirac三角函数和Heaviside阶跃函数进行了建模。Green函数的使用允许以积分形式获得温度分布,从而避免了无限级数的收敛问题。对于无限大的实体和球体,温度分布是三维的;对于半无限大的实心,无限象限和圆板,温度分布是二维的。与使用完全数值方法相比,它以较少的计算量和更高的准确性获得了解决复杂热传导问题的优雅分析或半解析解决方案。

著录项

  • 作者单位

    University of Puerto Rico, Mayaguez (Puerto Rico).;

  • 授予单位 University of Puerto Rico, Mayaguez (Puerto Rico).;
  • 学科 Engineering Mechanical.;Engineering Aerospace.
  • 学位 M.S.
  • 年度 2010
  • 页码 145 p.
  • 总页数 145
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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