Comparison between aesthetic and thermal performances of copper oxide and titanium dioxide nano-particulate coatings

Nano-particulate coatings with high reflectance against solar irradiation can control undesirable thermal heating by sunlight absorption. It can reduce the energy consumption for air conditioning of houses and cars. For the objects covered by these coatings and subjected to human sight, e.g. roofing surfaces, high dazzle of reflected visible light can offend the human eyes and spoil the fine view of covered objects. The authors introduced a new optimization method in designing pigmented coatings which considers both thermal and aesthetic effects in previous studies. The optimization is possible by controlling the material, size and concentration of pigment particles. The proposed coatings maximize the reflectance of near infrared (NIR) region to care the thermal effects and minimize the visible (VIS) reflected energy to keep the dark tone because of aesthetic appeal. Two different types of copper oxide pigment particles namely cupric oxide (CuO) and cuprous oxide (Cu₂O) were considered in this study. The optimum characteristics and performances are obtained and compared with titanium dioxide (TiO₂) particle as a typical cool pigment. The results show that cupric oxide has much better performance for our objective.     

Diffuse reflectance of TiO2 pigmented paints: Spectral dependence of the average pathlength parameter and the forward scattering ratio

Diffuse reflectance spectra of paint coatings with different pigment concentrations, normally illuminated with unpolarized radiation, have been measured. A four-flux radiative transfer approach is used to model the diffuse reflectance of TiO₂ (rutile) pigmented coatings through the solar spectral range. The spectral dependence of the average pathlength parameter and of the forward scattering ratio for diffuse radiation, are explicitly incorporated into this four-flux model from two novel approximations. The size distribution of the pigments has been taken into account to obtain the averages of the four-flux parameters: scattering and absorption cross sections, forward scattering ratios for collimated and isotropic diffuse radiation, and coefficients involved in the expansion of the single particle phase function in terms of Legendre polynomials.     

The effect of particles size distribution on aesthetic and thermal performances of polydisperse TiO2 pigmented coatings: Comparison between numerical and experimental results

A new approach in designing pigmented coatings considering both visual and thermal concerns was introduced by authors in previous works. The objective was to design a pigmented coating with dark appearance which can stay cool while exposed to sunlight. This behavior can be achieved by coating a typical black substrate with a pigmented coating with controlled size and concentration of particles and coating thickness. In present work, the spectral behaviour of polydisperse TiO₂ pigmented coatings was studied. The radiative properties of polydisperse TiO₂ powders were evaluated and the radiative transfer in the pigmented coating was modelled using the radiation element method by ray emission model (REM²). The effects of particles size distribution on spectral reflectivity, optimization parameter, and color coordinates were discussed. The results of numerical calculation were validated by experimental reflectivity measurements of several TiO₂ pigmented coating samples made from two different TiO₂ powders with different size distributions of particles. The results show that our model can reasonably predict the spectral reflectivity of TiO₂ pigmented coating samples. Moreover, the results of optimized monodisperse TiO₂ pigmented coatings were again validated.     

The influence of radiative-convective heat transfer on ignition of the drops of coal-water fuel

Simulation results are presented for thermal treatment and ignition of coal-water fuel drops under conditions of radiative-convective heating. The data demonstrate reasonbble compliance between theory and experiment for the integral parameter of ignition process — the delay time of ignition. The radiative component of heat transfer is significant for parameters and conditions of ignition. The increase in the fuel particle size makes this influence bigger. Prognostic potential was evaluated for differnet models of radiative heat tarnsfer. The delay time of ignition obtained from radiative heat transfer model “grey wall” is in good agreement with experimental data. Meanwhile, the method based on radiation diffusion approximation gives the simulation data for delay time much higher than experimental data. It is confirmed that while the process of inflammation of a coal-water particle, the key impotance belongs not to fuel-oxidizer reactions, but rather to a chain of heat treatment events, such as radiative-convective heating, water evaporation, and thermal decomposition of fuel.     

基于高光谱技术建筑反射隔热涂料光谱特征减损规律的分析

受太阳辐射、气象等外界不可控因素的影响,建筑反射隔热涂料的反射隔热性能会逐渐减损。建筑反射隔热涂料性能在时间维度的变化是评价建筑在特定时段内节能效果的关键基础数据,明确建筑反射隔热涂料性能在时间维度的减损规律具有重要的现实与理论意义。建筑反射隔热涂料的反射、吸收特征是其性能的直观体现,借助高光谱技术定量分析涂料反射、吸收特征可正确揭示涂料性能在时间尺度的变化特征。为研究分析建筑反射隔热涂料性能在时间尺度上的减损规律,该研究利用高光谱技术,联合进行室内与外置实验采集涂料样本不同时期的光谱数据,并结合吸收峰深度、图谱分析法等光谱处理方法,定量分析涂料光谱反射特征、吸收特征在时间维度的变化特征,以研究分析涂料光谱反射率在外界环境影响下的减损规律。研究结论如下：(1)在350～2 250 nm波段区间内,建筑反射隔热涂料的光谱反射率随时间的增加而降低;光谱反射率的降低幅度在1月—5月内呈增加趋势,而在5月—10月内呈递减规律,且光谱反射率在可见光区间的降低幅度明显高于近红外区域。(2)建筑反射隔热涂料的吸收峰深度随时间的增加而降低,降低幅度在0～0.163范围内。(3)涂料厚度对涂料光谱反射率...     

Transient heat transfer in a spherical protective material, submitted to flux and mixed boundary conditions: an investigation on zirconia

An analytic solution is presented for describing combined radiation and conduction heat transfer in a spherical fiber thermal protection exposed to combined radiative and convective heating. The solution includes the equation of radiative transfer within the material, coupled to a transient energy equation that contains both radiative and convective terms. At elevated temperatures radiative transfer becomes important, and if several hot surfaces view each other, the radiation exchange process must be considered carefully. Some thermal protections are partially transparent to thermal radiation. Hence, an exchange process is complicated by radiation penetrating into and coming out of material. The radiation leaving an area depends on the temperature distribution inside that area and that is unknown and is affected by the exchange process to other areas. The analysis has allowed for unlimited spectral detail but assumes that the various material properties do not vary significantly with temperature. Transient temperature distributions are obtained for the boundary conditions of external radiation and convection. The present analysis includes the influence of reflectivity, surface radiative properties and spectral properties on the temperature distributions.     

Optimization and design of pigments for heat-insulating coatings

This paper reports that heat insulating property of infrared reflective coatings is obtained through the use of pigments which diffuse near-infrared thermal radiation.Suitable structure and size distribution of pigments would attain maximum diffuse infrared radiation and reduce the pigment volume concentration required.The optimum structure and size range of pigments for reflective infrared coatings are studied by using Kubelka-Munk theory,Mie model and independent scattering approximation.Taking titania particle as the pigment embedded in an inorganic coating,the computational results show that core-shell particles present excellent scattering ability,more so than solid and hollow spherical particles.The optimum radius range of core-shell particles is around 0.3 ～ 1.6 μm.Furthermore,the influence of shell thickness on optical parameters of the coating is also obvious and the optimal thickness of shell is 100-300 nm.     

Non-Fourier heat conduction with radiation in an absorbing, emitting, and isotropically scattering medium

This article numerically analyses the combined conductive and radiative heat transfer in an absorbing, emitting, and isotropically scattering medium. The non-Fourier heat conduction equation, which includes the time lag between heat flux and the temperature gradient, is used to model the conductive heat transfer in the medium. It predicts that a temperature disturbance will propagate as a wave at finite speed. The radiative heat transfer is solved using the P₃ approximation method. In addition, the MacCormack's explicit predictor-corrector scheme is used to solve the non-Fourier problem. The effects of radiation including single scattering albedo, conduction-to-radiation parameter, and optical thickness of the medium on the transient and steady state temperature distributions are investigated in detail. Analysis results indicate that the internal radiation in the medium significantly influences the wave nature. The thermal wave nature in the combined non-Fourier heat conduction with radiation is more obvious for large values of conduction-to-radiation parameter, small values of optical thickness and higher scattering medium. The results from non-Fourier-effect equation are also compared to those obtained from the Fourier equation. Non-Fourier effect becomes insignificant as either time increases or the effect of radiation increases.     

Near-field radiative heat transfer between two plane surfaces with one having a dielectric coating

The effect of a dielectric coating on the near-field radiative heat transfer between two plane surfaces is numerically studied in the framework of the fluctuational electrodynamics. The dielectric coating is assumed to be a SiC or SiO₂ film, which is on top of the emitter. The results show that the near-field radiative flux between the plane surfaces can be either diminished or enhanced by the dielectric coating, depending on the thermal radiative properties of the emitter and the receiver. Furthermore, the dielectric coating effect on the near-field radiative flux can be very different from that on the far-field radiative flux. Detailed analysis on the variations of the TE- and TM-wave components of the radiative flux by adding the dielectric coating is provided, along with the physical mechanisms that account for these changes. Dielectric coatings such as SiC and SiO₂ films are widely seen in microelectronic structures and nanofabrication devices. The results obtained in this work should be valuable for further study and nanotechnological applications of near-field radiative heat transfer.     

Scaling algorithms for the calculation of solar radiative fluxes

We derived new scaling formulae based on the method of successive orders of scattering to calculate solar radiative flux. In this report, we demonstrate a multiple scaling method, in which we introduce scaling factors for each scattering order independently. The formula of radiative transfer by the method of successive orders of scattering cannot be solved rapidly except in the case of optically thin atmospheres. Then we further derived a double scaling method, which scales the ordinary radiative transfer equation by two scaling factors. We applied the double scaling method to two-stream and four-stream approximations of the discrete ordinates method. Comparing the results of the double scaling method with those of the delta-M method, we found that the double scaling method improved the accuracy of radiative fluxes at large solar zenith angles, especially in the optically thin region, and that in the region where multiple scattering dominates, its accuracy was comparable to that of the delta-M method. Once we determined the scaling factors appropriately, the double scaling method calculated radiative fluxes as rapidly as the delta-M method in the two-stream and four-stream approximations. This method, therefore, is useful for accurate computation of solar radiative fluxes in general circulation models.     

19.5nm极紫外反射镜的研制

介绍了一种用于太阳观测19.5nm极紫外多层膜的研究工作。利用软件对规整的Mo/Si膜系结构进行了优化,拓宽了反射带宽,提高了积分反射率。采用双离子束溅射技术,时间控厚,成功制备了该反射镜。通过同步辐射反射率计测试表明,峰值反射率27.5%,均匀性在1%以内,已初步达到预设要求。     

探空湿度测量太阳辐射误差修正流体动力学研究

针对太阳辐射加热导致的误差显著限制了相对湿度测量的准确度,提出一种新颖的相对湿度误差修正方法—–基于流体动力学的数值分析法.在流体-固体耦合传热数值模拟分析中考虑探空湿度传感器的外部热环境情况,施加对流-太阳辐射耦合热边界条件,建立了地面到32 km高空不同气压和温度条件下探空湿度传感器的温度误差分析模型.结合Goff-Gratch饱和水汽压逼近公式,进而提出了相应的相对湿度误差流体动力学数值分析模型,并且着重研究了太阳辐射方向、传感器尺寸、反射率和衬底材料热导率等物理参数对相对湿度误差的影响.分析数值仿真结果表明:随着海拨的升高,其与太阳辐射加热引起的相对湿度误差之间存在非线性的单调递增关系;太阳辐射方向对于湿度测量精度的影响显著,当太阳辐射方向垂直于传感器正面时误差最大、传感器顶部时次之、侧面时误差最小;虽然通过减小探空湿度传感器的尺寸、降低衬底材料的热导率以及提高反射率均可以一定程度地降低太阳辐射加热引起的相对湿度误差,但是在低气压高空条件下,太阳辐射加热误差对于湿度准确性的影响仍然十分明显,需加以修正.与实验结果对比表明,基于流体动力学模拟仿真的相对湿度误差数值分析法为辐射误差修正提供了一种新的途径.     

An efficient diffusion approximation for 3D radiative transfer parameterization: application to cloudy atmospheres

The three-dimensional (3D) diffusion radiative transfer equation, which utilizes a four-term spherical harmonics expansion for the scattering phase function and intensity, has been efficiently solved by using the full multigrid numerical method. This approach can simulate the transfer of solar and thermal infrared radiation in inhomogeneous cloudy conditions with different boundary conditions and sharp boundary discontinuity. The correlated k-distribution method is used in this model for incorporation of the gaseous absorption in multiple-scattering atmospheres for the calculation of broadband fluxes and heating rates in the solar and infrared spectra. Comparison of the results computed from this approach with those computed from plane-parallel and 3D Monte Carlo models shows excellent agreement. This 3D radiative transfer approach is well suited for radiation parameterization involving 3D and inhomogeneous clouds in climate models.     

基于角系数跟踪反射能量研究太空中空心圆柱体温度分布

利用角系数跟踪反射能量求得辐射传递因子,探讨太空中太阳入射下、热控涂层对空心圆柱体温度分布的影响.使用有限差分法离散圆柱坐标系下三维稳态导热方程,考虑辐射-导热边界条件,用Patankar线性化方法将边界条件线性化,用点迭代法来求解名义上的线性化方程组从而得到空心圆柱体的温度分布.热控涂层表面的辐射特性用一组矩形谱带来近似.本文的研究方法对太空航天器件温度分布的精确数值求解具有参考价值.     

Numerical investigation of the effect of soot aggregation on the radiative properties in the infrared region and radiative heat transfer

The effect of aggregation on soot radiative properties in the infrared region of the spectrum is numerically investigated using Rayleigh-Debye-Gans theory for fractal aggregates (RDG-FA). In order to use the RDG-FA theory for a wide range of aggregate sizes and wavelengths, the predicted phase functions, scattering and absorption coefficients are compared with a more accurate theory, the integral equation formulation for scattering—IEFS. The importance of scattering when compared with absorption is investigated, as well as the effect of aggregation on the phase function shape and on the scattering cross section. It is concluded that in the case of small aggregates formed with small primary particles the scattering coefficient is negligible compared with the absorption coefficient, and scattering and aggregation of primary particles can be ignored. Thus, the Rayleigh approximation can be used leading to isotropic scattering. In the case of large aggregates constituted by large primary particles, aggregation becomes important and the scattering cross section is of the same order of magnitude of the absorption cross section. Moreover, the phase function becomes highly peaked in the forward direction. Therefore, the Rayleigh and the equivalent volume Mie sphere approximations are not valid, and the RDG-FA method emerges as a good compromise between accuracy and simplicity of application. However, radiative transfer calculations between two infinite, parallel, black walls show that scattering may always be neglected in the calculation of total radiative heat source and heat fluxes to the walls. The minor influence of scattering on the accuracy of the predictions is explained by the shift between the spectral region where scattering is important and the region where the spectral radiative heat source is large.     

空间目标的可见光散射与红外辐射

利用Lowtran7大气传输模型计算0.4～0.8μm可见光波段的太阳辐射、大气自身的热辐射以及天地背景辐射.依据粗糙面光散射理论与双向反射分布函数计算空中目标表面对太阳辐射和云层对阳光反射的散射.利用传热学和背景辐射理论,根据能量守恒定律建立空间目标表面温度的热平衡方程.以气球为例,计算不同表面涂层材料的气球,在不同地理位置、不同高度和不同时间条件下,其温度及辐射功率的变化.分析空间目标红外辐射特性的一般规律和特征.     

太阳能选择性吸收涂层高温光谱吸收率的测量方法

太阳能热发电是高效利用太阳能资源的有效途径之一,对缓解能源危机和环境污染具有重要的推动作用和深远的社会意义。选择性吸收涂层是太阳能真空集热管的重要组成部分,是决定太阳能与热能转换效率的关键因素。针对高温状态下太阳能选择性吸收涂层光学性能的表征问题,提出一种适用于高温金属-陶瓷选择性吸收涂层太阳光谱吸收率的测量方法。基于双探测器的傅里叶光谱仪和具有涂层加热功能的积分球,研制了能够防止高温氧化并模拟涂层工作温度的高真空测量装置,实现0.3～2.5 μm、室温-700 ℃太阳光谱吸收率的测量。选取磁控溅射制备的Mo-SiO₂选择性吸收涂层作为测量样品,该样品具有双吸收层的多层膜结构。对涂层样品不同温度下的太阳光谱吸收率进行了测量实验,室温测量值与理论计算值进行了对比分析,结果表明具有较好的一致性,最大偏差仅为2.9%,验证了涂层太阳光谱吸收率测量方法的可行性。高温光谱吸收率测量对涂层参数设计的优化及吸收性能的提高具有重要的指导意义及推动作用。     

电子辐照能量对Kapton/Al热控涂层光学性能的影响

 研究了电子辐照时，电子能量与累积通量对Kapton/Al热控涂层光学性能的影响。采用原位测量的手段记录了辐照前后的光谱反射系数。试验结果表明，电子辐照后Kapton/Al热控涂层的反射性能,在太阳光谱辐射强度较大的300~1 200nm波长区间产生较大程度退化。在电子辐照作用下，作为离子导电型聚合物的 Kapton薄膜表面没有发现辐照充电效应。辐照后涂层材料存在“退火效应”，或称“漂白效应”。Kapton/Al涂层太阳吸收比的变化量与电子辐照累积通量的变化关系成幂函数形式,其系数与指数的极大值与极小值分别出现在电子能量为50keV附近。在辐照累积通量相同时，该变化量随辐照电子能量的提高而增大。     

辐射(火积)耗散与空间辐射器温度场均匀化的关系

(火积)理论是针对传热优化发展起来的,并获得了越来越多的应用。本文基于辐射(?)原理,对空间辐射器散热过程中的散热量分布、发射率分布和散热面积分布问题进行了分析。对于以上三类优化分布问题,理论分析和数值计算均表明,辐射器最小的辐射(?)耗散和辐射热阻均对应于散热表面均匀的温度场。因此,辐射(?)原理可用于空间辐射器的温度场均匀化设计。     

A fourier transform solution for radiative transfer in a slab with isotropic scattering and boundary reflection

The Fourier transform method is used to formulate an exact solution for radiative heat transfer in an isotropically scattering, absorbing and emitting plane-parallel slab with specularly reflecting boundaries. The analysis leads to a solution involving expansion coefficients which can be determined from a matrix equation to the desired degree of accuracy. The numerical results obtained for the hemispherical reflectivity and transmissivity show that even the lowest order solution gives good accuracy.