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首页> 外文期刊>Journal of Heat Transfer >Radiation and Conduction in an Isotropic Scattering Rectangular Medium With One Semitransparent and Diffusely Reflecting Boundary
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Radiation and Conduction in an Isotropic Scattering Rectangular Medium With One Semitransparent and Diffusely Reflecting Boundary

机译:具有一个半透明且漫反射边界的各向同性散射矩形介质中的辐射和电导

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摘要

Using the ray tracing-node analyzing method, the 2D transient coupled radiative and conductive heat transfer in a rectangular semitransparent medium is investigated. The rectangular medium has one semitransparent and diffuse boundary (the other three boundaries are black) and is isotropically scattering. The transient differential energy equation is discretized by the fully implicit finite difference method, and the radiative source term of the energy equation is expressed by the radiative transfer coefficients (RTCs). The integrality and reciprocity relationships of the RTCs without considering scattering for the 2D physical model are discovered, which are much different from those for the ID case. When solving the isotropic scattering RTCs, the RTCs without considering scattering are normalized at first, and then the normalized RTCs are used to trace the energy scattered by control volumes. Finally, the isotropic scattering RTCs are solved by reverse calculation. The Patankar's linearization method is used to linearize the radiative source term and the opaque boundary conditions, and the boundary conditions are dealt with an additional source term method. The alternating direction implicit method is applied to solve the nominal linearized equations. The effects of scattering albedo, extinction coefficient, refractive index, etc., on transient coupled heat transfer are studied. The study shows that when the extinction coefficient is so small, the increase in scattering albedo can intensify the cooling of the three black surfaces of the rectangular medium.
机译:使用射线追踪节点分析方法,研究了矩形半透明介质中的二维瞬态耦合辐射与传导热传递。矩形介质具有一个半透明和漫射边界(其他三个边界为黑色)并且各向同性散射。瞬态微分能量方程通过完全隐式有限差分法离散化,能量方程的辐射源项通过辐射传递系数(RTC)表示。发现了在不考虑二维物理模型散射的情况下,RTC的完整性和互惠关系,这与ID情况有很大不同。在求解各向同性散射RTC时,首先对不考虑散射的RTC进行归一化,然后使用归一化的RTC跟踪控制体积散射的能量。最后,通过反向计算求解各向同性散射RTC。使用Patankar的线性化方法对辐射源项和不透明边界条件进行线性化,并使用附加的源项方法处理边界条件。应用交变方向隐式方法求解名义线性化方程。研究了散射反照率,消光系数,折射率等对瞬态耦合传热的影响。研究表明,当消光系数很小时,散射反照率的增加可以增强矩形介质的三个黑色表面的冷却。

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