INVERSE SOLUTION TO STEADY TWO-DIMENSIONAL HEAT CONDUCTION

机译：二维热传导的逆解

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This paper presents an analytical method for solving an inverse problem of steady, two-dimensional, heat conduction in a solid plate with space-variable temperature and heat flux on one of its boundaries. The method doesn't need the knowledge of the thermal conditions on the other plate boundaries. Explicit closed-form expressions are derived for calculating the two-dimensional distributions of the temperature and heat flux in the plate for arbitrary over-specified boundary temperature and heat flux profiles. The special problem case of isothermal boundary with a specified heat flux profile, and that of insulated boundary with a specified temperature profile are considered realistic cases for this problem. Validity and exactness of the proposed method is proved via test problems with known exact solutions. Sensitivity of the current technique to errors in the input boundary conditions is examined. The proposed method is considered of a theoretical value for the heat conduction area.

机译：本文提出了一种解析方法，用于解决固体板中稳定二维热传导的反问题，该板的边界之一是温度和热通量随空间变化的。该方法不需要了解其他板边界上的热条件。导出明确的封闭形式表达式，以计算板中温度和热通量的二维分布，以用于任意超额指定的边界温度和热通量曲线。具有特定热通量分布图的等温边界和具有特定温度分布图的绝热边界的特殊问题情况被认为是解决此问题的现实情况。通过使用已知精确解的测试问题证明了该方法的有效性和准确性。检查了当前技术对输入边界条件中的误差的敏感性。所提出的方法被认为具有导热面积的理论值。

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《HT2008;ASME summer heat transfer conference》|2009年|225-231|共7页
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Mohamed El-Sayed Mosaad;
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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. A decentralized fuzzy inference method for solving the two-dimensional steady inverse heat conduction problem of estimating boundary condition [J] . Guangjun Wang, Lina Zhu, Hong Chen International Journal of Heat and Mass Transfer . 2011,第13a14期

机译：一种求解边界条件估计的二维稳态逆热传导问题的分散模糊推理方法
4. GENERAL EXACT INVERSE SOLUTION TO STEADY TWO-DIMENSIONAL HEAT CONDUCTION WITH HEAT GENERATION IN A PLANE WALL [C] . M. Mosaad ASME·JSME Thermal Engineering Joint Conference . 1995

机译：一般确切的逆解决方案稳定的二维热传导在平面墙壁中的发热
5. Real-time heat flux estimation using filter based solutions for inverse heat conduction problems [D] . Najafi, Hamidreza. 2015

机译：使用基于滤波器的解决方案实时求解逆热传导问题的热通量
6. Estimation of Surface Heat Flux and Surface Temperature during Inverse Heat Conduction under Varying Spray Parameters and Sample Initial Temperature [O] . Muhammad Aamir, Qiang Liao, Xun Zhu, -1

机译：喷雾参数和样品初始温度变化下逆导热过程中表面热通量和表面温度的估算
7. Inverse Steady Heat Conduction in a Two-Dimensional Composite Media.(Dept.M) [O] . Mohammed Mosaad 1993

机译：二维复合介质中的逆稳态导热。（DEPT.M）
8. ORMDIN: A Finite Element Program for Two-Dimensional Nonlinear Inverse Heat Conduction Analysis [R] . Bass, B. R., Drake, J. B., Ott, L. J. 1980

机译：ORmDIN：二维非线性逆热传导分析的有限元程序

INVERSE SOLUTION TO STEADY TWO-DIMENSIONAL HEAT CONDUCTION

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