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A Method for the Rapid Numerical Solution of the Heat Conduction Equation for Composite Slabs

机译：复合板热传导方程快速数值解法

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Two boundary conditions encountered in the heating of one-dimensional double slabs are the following:the heat flux is given at the inner surface and (a) the heat flux or (b) the temperature is prescribed at the outer surface.nIn this paper, a method is developed which permits the rapid calculation of (1) any given interior point temperature, and (2) the outer surface temperature or flux for (a) or (b) respectively, without computing other interior point temperatures. The partial differential equations are integrated in terms of an arbitrary outer surface temperature, the solution joined to the remaining boundary condition, and the resulting Integral equation evaluated for the outer surface temperature or flux by a simple numerical scheme. The method performs an exact integration over the space dimension. Hence, once the outer surface temperature is determined, the interior temperatures are computed by exact formulae.

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Julius W. Enig;
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年度 1959
页码 1-24
总页数 24
原文格式 PDF
正文语种 eng
中图分类工业技术;
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1. A Solution Method of Inverse Heat Conduction Problem by a Integral Form of Non-steady Heat Conduction Equation for a Slab and its Application to the Calculation of Surface Temeprature-dependent Heat Transfer Coefficient [J] . Yuji Sano 化学工学論文集 . 2002,第3期

机译：平板非定常热传导方程积分形式的逆热传导问题求解方法及其在与表面温度相关的传热系数计算中的应用
2. A Solution Method of Inverse Heat Conduction Problem by a Integral Form of Non-steady Heat Conduction Equation for a Slab and its Application to the Calculation of Surface Temeprature-dependent Heat Transfer Coefficient [J] . Yuji Sano 化学工学論文集 . 2002,第3期

机译：一种逆热传导问题的求解方法，通过用于板坯的非稳态热传导方程的整体形式及其应用于表面抑制依赖性传热系数的计算
3. The Numerical Implementation of the Linear Integro- Differential Equations Method for the Solution of Non-Stationary Heat Conduction Problem with Two Space Variables [J] . I. V. Sergienko, O. N. Lytvyn, O. O. Lytvyn, Indian Journal of Science and Technology . 2015,第30期

机译：求解两个空间变量的非平稳热传导问题的线性积分微分方程方法的数值实现
4. NUMERICAL SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION IN A FINITE SLAB WITH SPACE-DEPENDANT VOLUMETRIC HEAT SOURCE [C] . Shayan Amiri, Shahin Amiri, Mohammad Goharkhah, ASME International Mechanical Engineering Congress and Exposition . 2010

机译：具有空间依赖性容积热源的有限平板中的双曲热传导方程的数值解
5. Analysis of conduction heat transfer in semi-infinite slabs and infinite quadrants with discrete heat generation sources using Green's function integral methods. [D] . Meza Castillo, Omar Enrique. 2003

机译：使用格林函数积分法分析具有离散生热源的半无限平板和无限象限中的传导传热。
6. High-Order Compact Difference Scheme for the Numerical Solution of Time Fractional Heat Equations [O] . Ibrahim Karatay, Serife R. Bayramoglu -1

机译：时间分数热方程数值解的高阶紧致差分格式
7. Non-stationary heat conduction in composite slabs with coupling. Application to enclosures: numerical computation of the analytical solution [O] . Bouzidi M., Duhamel P. 1985

机译：带耦合的复合板的非稳态热传导。应用于外壳：解析解决方案的数值计算
8. An Investigation of the Numerical Methods of Finite Differences and Finite Elements for Digital Computer Solution of the Transient Heat Conduction (Diffusion) Equation Using Optimum Implicit Formulations. [R] . martin,charles r. 1978

机译：用最优隐式公式研究瞬态热传导（扩散）方程数字计算机解的有限差分和有限元数值方法。

A Method for the Rapid Numerical Solution of the Heat Conduction Equation for Composite Slabs

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