ALGEBRAICALLY EXPLICIT ANALYTICAL SOLUTIONS OF UNSTEADY CONDUCTION WITH VARIABLE THERMAL PROPERTIES IN SPHEROIDAL COORDINATES

机译：球面坐标系中具有可变热特性的非定常传导的代数显式解析解

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The analytical solutions of unsteady heat conduction with variable thermal properties (thermal conductivity, density and specific heat are functions of temperature or coordinates) are meaningful in theory. In addition, they are very useful to the computational heat conduction to check the numerical solutions and to develop numerical schemes, 4 grid generation methods and so forth. Such solutions in rectangular coordinates have been derived by the authors; some other solutions for unsteady point symmetrical heat conduction in spherical coordinates are given in this paper to promote the heat conduction theory and to develop the relative computational heat conduction.

机译：具有可变热性质（导热系数，密度和比热是温度或坐标的函数）的非稳态热传导的解析解在理论上是有意义的。此外，它们对于计算热传导，检查数值解，开发数值方案，4种网格生成方法等非常有用。作者在直角坐标系中找到了这种解决方案。给出了球面坐标系中非定点对称热传导的其他一些解决方案，以推广热传导理论并发展相对计算的热传导。

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来源
《HTD-vol.375-3; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition vol.3; 20041113-19; Anaheim,CA(US)》|2004年|P.137-146|共10页
会议地点 AnaheimCA(US)
作者
CAI Ruixian; ZHANG Na;
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作者单位

Institute of Engineering Thermophysics, Chinese Academy of Sciences Beijing 100080, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类热工量测和热工自动控制的应用;
关键词
analytical solution; heat conduction; nonlinear; variable thermal property; spheroidal coordinates;

机译：解析溶液导热非线性可变热性能球坐标;

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专利

1. Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinate [J] . CAI Ruixian, ZHANG Na 自然科学进展（英文版） . 2004,第004期

机译：圆柱坐标系中具有可变热特性的非定常传导的代数解析解
2. Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinate [J] . CAI Ruixian, ZHANG Na Progress in Natural Science . 2004,第4期

机译：圆柱坐标系中具有可变热特性的非定常传导的代数解析解
3. Algebraically explicit analytical solutions of unsteady 3-D nonlinear non-Fourier (hyperbolic) heat conduction [J] . Ruixian Cai, Chenhua Gou, Hongqiang Li International Journal of Thermal Sciences . 2006,第9期

机译：非稳态3-D非线性非傅立叶（双曲）导热的代数解析解
4. ALGEBRAICALLY EXPLICIT ANALYTICAL SOLUTIONS OF UNSTEADY CONDUCTION WITH VARIABLE THERMAL PROPERTIES IN SPHEROIDAL COORDINATES [C] . CAI Ruixian, ZHANG Na ASME International Mechanical Engineering Congress and Exposition . 2004

机译：球形坐标中具有可变热性能的不稳定传导的代数明确分析解
5. Numerical solutions of unsteady incompressible Navier-Stokes equations using an explicit finite analytic scheme. [D] . Dai, Weizhong. 1994

机译：使用显式有限解析方案的非定常不可压缩Navier-Stokes方程的数值解。
6. Analytical solutions for systems of partial differential–algebraic equations [O] . Brahim Benhammouda, Hector Vazquez-Leal -1

机译：偏微分-代数方程组的解析解
7. Analytical solutions of the steady or unsteady heat conduction equation in industrial devices: A comparison with FEM results [O] . Ilemin Bulut 2016

机译：工业装置中稳态或非稳态热传导方程的解析解：与有限元结果的比较
8. Approximate Solutions of Heat Conduction in a Medium with Variable Properties [R] . Yen, Y. C. 1987

机译：可变特性介质中热传导的近似解

ALGEBRAICALLY EXPLICIT ANALYTICAL SOLUTIONS OF UNSTEADY CONDUCTION WITH VARIABLE THERMAL PROPERTIES IN SPHEROIDAL COORDINATES

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