A study of the critical heat flux in an accelerating pool boiling system,

"NSF grant no. G-19697."

Pre-development study of a heat flux measurement device suitable for use on flight vehicles,

"Project no. AA-1577-Y. Subcontract no. 112705."

Nonlinear analog network to convert surface temperature to heat flux.

Mode of access: Internet.

Constant wall heat flux boundary conditions in micro-channels filled with porous material with internal heat generation under local thermal non-equilibrium conditions

Forced convection heat transfer in a micro-channel filled with a porous material saturated with rarefied gas with internal heat generation is studied analytically in this work. The study is performed by analysing the boundary conditions for constant wall heat flux under local thermal non-equilibrium (LTNE) conditions. Invoking the velocity slip and temperature jump, the thermal behaviour of the porous-fluid system is studied by considering thermally and hydrodynamically fully-developed conditions. The flow inside the porous material is modelled by the Darcy–Brinkman equation. Exact solutions are obtained for both the fluid and solid temperature distributions for two primary approaches models A and B using constant wall heat flux boundary conditions. The temperature distributions and Nusselt numbers for models A and B are compared, and the limiting cases resulting in the convergence or divergence of the two models are also discussed. The effects of pertinent parameters such as fluid to solid effective thermal conductivity ratio, Biot number, Darcy number, velocity slip and temperature jump coefficients, and fluid and solid internal heat generations are also discussed. The results indicate that the Nusselt number decreases with the increase of thermal conductivity ratio for both models. This contrasts results from previous studies which for model A reported that the Nusselt number increases with the increase of thermal conductivity ratio. The Biot number and thermal conductivity ratio are found to have substantial effects on the role of temperature jump coefficient in controlling the Nusselt number for models A and B. The Nusselt numbers calculated using model A change drastically with the variation of solid internal heat generation. In contrast, the Nusselt numbers obtained for model B show a weak dependency on the variation of internal heat generation. The velocity slip coefficient has no noticeable effect on the Nusselt numbers for both models. The difference between the Nusselt numbers calculated using the two models decreases with an increase of the temperature jump coefficient.

Automatization of feeding the heat flux data to water circulation simulations of recovery boilers

Tässä työssä perehdytään soodakattiloiden vesikiertomallin rakentamiseen. Työn päätavoitteena on kehittää simulointimallia varten taulukkolaskentapohja, jonka avulla soodakattilan lämpövuotietoja on yksinkertaista ja nopeaa käsitellä ja siirtää Apros 6 -simulointiohjelmaan. Lisäksi tarkoituksena on pyrkiä automatisoimaan työvaiheet mahdollisimman pitkälle, jolloin vesikiertolaskennan tekeminen yksinkertaistuisi, yhtenäistyisi ja tarkentuisi. Tämä on mahdollista Excel- makrojen ja Apros 6:n uusien toimintojen avulla. Apros 6:ssa on nyt mahdollista hyödyntää SCL- komentotiedostoja, joiden avulla sujuva tiedonsiirto Aproksen ja Excelin välillä vodaan toteuttaa. Vesikiertolaskentaan käytettävän datan käsittely on aikaisemmin ollut työlästä ja sen tarkkuus on pitkälti riippunut mallintajasta. Tässä diplomityössä päästään hyödyntämään uusimpia ja realistisempia soodakattiloiden CFD- malleja, joiden avulla pystytään luomaan aikaisempaa tarkemmat lämpövuojakaumat soodakattilan lämpöpinnoille. Tämä muutos parantaa vesikiertolaskennan tarkkuutta. Työn kokeellisessa osassa uutta Excel laskentatyökalua ja uusia lämpövuoarvoja testataan käytännössä. Eräs vanha Apros- vesikiertomalli päivitetään uusilla lämpövuoarvoilla ja sen rakenteeseen tehdään muutoksia tarkkuuden parantamiseksi. Uuden mallin toimivuutta testataan myös 115 %:n kapasiteetilla ja tutkitaan kuinka kyseinen vesikiertopiiri reagoi suurempaan lämpötehoon. Näitä kolmea eri tilannetta vertaillaan toisiinsa ja tarkastellaan eroavaisuuksia niiden vesi-höyrypiireissä.

Large Rayleigh number thermal convection: heat flux predictions and strongly nonlinear solutions

We investigate the structure of strongly nonlinear Rayleigh–Bénard convection cells in the asymptotic limit of large Rayleigh number and fixed, moderate Prandtl number. Unlike the flows analyzed in prior theoretical studies of infinite Prandtl number convection, our cellular solutions exhibit dynamically inviscid constant-vorticity cores. By solving an integral equation for the cell-edge temperature distribution, we are able to predict, as a function of cell aspect ratio, the value of the core vorticity, details of the flow within the thin boundary layers and rising/falling plumes adjacent to the edges of the convection cell, and, in particular, the bulk heat flux through the layer. The results of our asymptotic analysis are corroborated using full pseudospectral numerical simulations and confirm that the heat flux is maximized for convection cells that are roughly square in cross section.

内蒙古草原温度梯度上3个典型群落的能量平衡研究

通量测量点的能量收支总是表现出不平衡，即使在地势平坦、植被分布均一、稀疏植被下垫面的情况下也有约30%的能量失衡状况。能量平衡闭合 (EBC) 问题在验证涡度相关系统质量方面，得到了广泛的关注。实验在内蒙古草原3个地点，通过涡度相关系统附近移动能量平衡系统的测定手段，采用能量平衡余项法和最小二乘 (OLS) 线性回归法，研究了土壤热通量、净辐射及可供能量空间变异对能量平衡闭合的影响。 结果显示，EBC 在三个研究点的平均余项为8~19 W m-2，OLS 斜率为0.83~0.96。EBC 在土壤湿润情况的站点要高于干旱站点。 土壤热通量的空间变异三站点平均为白天48 W m-2 (占同时间 Rn 的13%)，夜间15 W m-2 (34%)，平均29 W m-2 (24%)。通过8个工作站的测量，这个变异会造成9% (从0.93到1.01) 的 OLS 斜率差别。夜间的能量平衡不闭合可以由土壤热通量的空间变异解释。如果在本研究的的三个草原站点上忽略了土壤热通量，则会造成较大的余项 (峰值时110 W m-2) 产生，从而使 OLS 斜率增大23%。特别是通量板埋置在地面以下30 mm处时，上层的土壤热储部分占到全部土壤热通量的50%，这不仅影响到 EBC 的大小，更起到调节土壤热通量与“真实的波形” 相一致的作用。如果该部分热储被忽略掉，EBC 余项会增加60 W m-2，OLS 斜率也会变化 (减少) 9%。用大尺度多点测量与涡度塔附近的小尺度测定相比较，后者表现出稍高的闭合率，即 OLS 斜率增加4%。 相对于土壤热通量，净辐射的空间变异较小，三站点平均为白天17 W m-2 (5%)，夜间7 W m-2 (13%)，平均 12 W m-2 (5%)。可以引起3% (从0.88到0.91) 的 OLS 斜率差异。研究结果还表明，风速校正应该在 Q7.1 净辐射仪中应用，校正后的结果与 CNR1 的结果在白天有吻合较好，但在其它时段仍有较大差异，特别是在夜间，风速校正基本不起作用，使得两种仪器间差异达20 W m-2。比较表明，风速校正可以提高白天 Rn 的6%，仅降低夜间0.3%。因此，无论是用余项法还是用 OLS 线性回归法，在比较使用不同仪器的站点间的闭合状况时 (本研究的结果适用于草地 Q7.1 与 CNR1 间的比较)，可以用9：00-15：00 h 时段的数据进行比较，这样可以避免因使用不同仪器的差异所造成的影响。用该时段的数据进行比较，仪器间的差异余项法小于6 W m-2，OLS 法小于3%。 受可供能量空间变异影响，三个站点平均 EBC 的不确定性为白天66 W m-2 (19%)，夜间23 W m-2 (50%)，平均42 W m-2 (36%);或者改变 OLS 斜率11%。用最大值和最小值来衡量，EBC 最大不确定性，正午时在站点 I、II 和 III 中分别为81，114和91 W m-2。故在探讨能量平衡和能量平衡闭合问题时，必须充分考虑到这种不确定性，否则会产生偏差，或者得出错误结论。 研究还表明，即使考虑到白天所有可供能量的最大不确定性，仍然不能使能量平衡闭合。中午 (12：00 h)，站点 I，II 和 III 仍然有14±15，48±12和47±14 W m-2 的失衡不能够归因于可供能量的空间不确定性。因此，其它影响因素也需进行细致的探讨。 在两站点不同测量深度土壤热通量结果的差异性比较实验中，无论在站点 I 还是 III，均表现出一致的结论，即随通量板布置深度加深，其测量结果会越高，与浅层布置的相比，差别可高达150 W m-2。深层土壤热通量的计算仍是个难题，需进一步研究。 在不同植被结构对净辐射测定影响的实验中发现，随刈割强度增加，一天中大部分时间净辐射均减少。正午依次为413，395和388 W m-2。无论正午还是全天合计，重度刈割地点的净辐射均比不刈割对照处理少6%，而且，在整个生长季也少6%，约合40,000 W m-2。测量高度不同，不同处理间对测定结果影响不同：刈割处理中，由于下垫面较均一，结果相差不显著;而对照则表现出较高的差异，用两配对样本T检验表明差异达到极显著 (P<0.000，9:30-15:00 h data)。当使用不同新旧程度的 domes 时，对净辐射结果会产生明显的影响。新 domes 的测量结果白天明显高，晚上明显低，使用了11个月的旧 domes，峰值时，白天低估25 W m-2，晚上高估10 W m-2。说明该差异在进行能量平衡闭合计算时，不能忽略。而全用新的和全用旧的进行比较，晚上仅有2-3 W m-2差异。 考虑生态系统中非生物因子对干扰条件下生物多样性动态和功能的影响，有助于更精确地阐明生物多样性-稳定性功能的关系。为此，设计了一个单因子刈割实验——内蒙古地区一种广泛存在的土地利用方式。主要目的是研究不同强度刈割影响下，微气候变量特别是能量平衡各分量和群落结构的变化及二者的关系。连续4年刈割，占第一位的优势种明显由低矮半灌木冷蒿 (Artemisia frigida) 取代了高大丛生禾草克氏针茅 (Stipa kylovii)。重度刈割下，针茅的盖度、生物量和丛重，群落叶面积、绿色生物量、凋落物量和群落高度一致低于轻度刈割/不刈割处理。微气候由于群落特征的这些变化也呈规律性变化。与对照相比，重度刈割降低了生长季土壤含水量的47.5%，但中午和日均土壤表面温度分别增加了7.4和1.2 °C，并且增加地表下2 cm土壤温度日较差 (日最高与最低温度之差) 4.2 °C。刈割处理由于凋落物少、反射强而表现出较低的净辐射，但土壤热通量显著提高，表现为土层加热和冷却快。因此，重度刈割处理较对照降低了可供能量8%，约合52,000 W m-2 。不同刈割强度间来看，NPP 或 LAI 与土壤热通量和净辐射的比值 (G/Rn) 以及波文比 (H/LE) 间呈负相关。重度刈割处理感热通量显著提高，但潜热通量在处理间差异不显著，表明未刈割处理虽然冠层伸展大，但是并没有导致更大的水分亏缺。未刈割处理增加了抵抗物种改变的能力，而刈割处理在连续一年一割的第四年显著增加了物种数，可能与因刈割影响而导致的群落结构与微气候的改变有关。本研究表明，未刈割处理可以减轻高温干旱季节的高温和干旱胁迫，表现出对环境变化的高抵抗性。未刈割处理的凋落物层和较高的垂直结构所形成的遮荫，可以形成一个阻挡蒸发的篱笆，这是维持其水分的保证。因此，为了恢复退化草原生态系统功能，需要修复能导致微气候变化的植物群落结构，否则难以成功。 本研究立足于原创性的实验研究，在中国特有的自然草原生态系统上开展，结合不同温度梯度的三地区涡度相关系统进行了能量平衡闭合的移动比较实验，以及结合常用土地利用方式的定点能量平衡实验。在翔实的数据基础上，为涡度相关方法的陆地表面能量平衡失衡问题提供了解释。增加了对两个主要能量流——土壤热通量和净辐射空间变异规律的认识，研究对于能量平衡和湍流通量相关研究是有价值的。在三个代表性地区首次利用多个净辐射仪和土壤热通量板的结果与三个标准的涡度相关系统进行了比较，这类量化失衡原因的相关研究应受到高度重视并进一步拓展，以提高对能量失衡的认识，进而推进水热和碳循环研究向更深层次发展。

Seasonal and interannual variation in water vapor and energy exchange over a typical steppe in Inner Mongolia, China

In this study, we conducted eddy covariance (EC) measurements of water vapor exchange over a typical steppe in a semi-arid area of the Inner Mongolia Plateau, China. Measurement sites were located within a 25-year-old enclosure with a relatively low leaf area index (similar to 1. 5 m(2) m(-2)) and dominated by Leymus chinensis. Energy balance closure was (H + LE) = 17.09 + 0.69 x (Rn - G) (W/m(2); r(2) = 0.95, n = 6596). Precipitation during the two growing seasons of the study period was similar to the long-term average. The peak evapotranspiration in 2004 was 4 mm d(-1), and 3.5 mm d(-1) in 2003. The maximum latent heat flux was higher than the sensible heat flux, and the sensible heat flux dominated the energy budget at midday during the entire growing season in 2003; latent heat flux was the main consumption component for net radiation during the 2004 growing season. During periods of frozen soil in 2003 and 2004, the sensible heat flux was the primary consumption component for net radiation. The soil heat flux component was similar in 2003 and 2004. The decoupling coefficient (between 0.5 and 0.1) indicates that evapotranspiration was strongly controlled by saturation water vapor pressure deficit (VPD) in this grassland. The results of this research suggest that energy exchange and evapotranspiration were controlled by the phenology of the vegetation and soil water content. In addition, the amount and frequency of rainfall significantly affect energy exchange and evapotranspiration upon the Inner Mongolia plateau. (c) 2007 Published by Elsevier B.V.

Modelling the partitioning of evapotranspiration in a maize-sunflower intercrop

The primary purpose of this study was to model the partitioning of evapotranspiration in a maize-sunflower intercrop at various canopy covers. The Shuttleworth-Wallace (SW) model was extended for intercropping systems to include both crop transpiration and soil evaporation and allowing interaction between the two. To test the accuracy of the extended SW model, two field experiments of maize-sunflower intercrop were conducted in 1998 and 1999. Plant transpiration and soil evaporation were measured using sap flow gauges and lysimeters, respectively. The mean prediction error (simulated minus measured values) for transpiration was zero (which indicated no overall bias in estimation error), and its accuracy was not affected by the plant growth stages, but simulated transpiration during high measured transpiration rates tended to be slightly underestimated. Overall, the predictions for daily soil evaporation were also accurate. Model estimation errors were probably due to the simplified modelling of soil water content, stomatal resistances and soil heat flux as well as due to the uncertainties in characterising the 2 micrometeorological conditions. The SW’s prediction of transpiration was most sensitive to parameters most directly related to the canopy characteristics such as the partitioning of captured solar radiation, canopy resistance, and bulk boundary layer resistance.

Balanço de radiação e energia da cultura de alface em estufa de polietileno

Objetivou-se, neste trabalho, determinar os balanços de radiação e energia da cultura de alface (Lactuca sativa, L. cv. Verônica) em estufa de polietileno. O experimento foi realizado em uma estufa tipo túnel alto com cobertura de polietileno (100 mim de espessura) e em uma área externa, ambas com 35 m². Durante o ciclo da cultura, foram monitoradas as radiações global e refletida, saldo de radiação, fluxo de calor no solo e temperatura do ar (seca e úmida) nos dois meios. Utilizou-se um Datalogger que operou na freqüência de 1 Hz, armazenando médias de cinco minutos. A partir das integrações diárias das irradiâncias global (K¯) e refletida (K­), verificou-se que a transmissividade média da radiação global (K¯in / K¯ex) foi aproximadamente constante, em torno de 79,59%, enquanto a razão das radiações refletidas (K­in / K­ex) foi igual a 69,21% com coeficiente de variação de 8,47%. As curvas normalizadas do saldo de radiação de ondas curtas em relação à radiação global (K* / K¯), nos dois meios, mostraram ser aproximadamente constantes no início do ciclo e decrescentes no final. A relação (Rn/ K¯) foi maior no meio externo, em torno de 12%, a partir da fase em que a superfície verde da cultura cobriu o solo. O balanço médio (L*) de radiação de ondas longas foi maior no exterior, em torno de 50%. O balanço de energia, estimado em termos de fluxos verticais, mostrou, em média, que: no exterior, 83,07% do saldo de radiação foi convertido em calor latente (LE), 18,00% em fluxo de calor no solo (G) e 9,96% em calor sensível (H), enquanto que, no interior da estufa, 58,71% do saldo de radiação foi convertido em LE, 42,68% em H e 28,79% em G.

Balanço de radiação e fluxo de calor no solo em ambiente natural e protegido cultivado com pepineiro

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Estimativa da exigência hídrica do amendoim usando um modelo agrometeorológico

In the experimental area of the Department of Environmental Sciences (21.85° S; 48.43° W; 786 m), in the School of Agronomical Sciences, UNESP, Botucatu, SP, an experiment was carried out using peanut (Arachis hypogaea L), cv. IAC-TATU-ST, to quantify the crop daily water requirements. During the peanut crop cycle, the environmental variables, such as rainfall, air temperature, air relative humidity, soil matric potential, soil heat flux and radiation balance, have been registered continually. These measurements were used to calculate the daily crop evapotranspiration, by the Bowen ratio method. The water replacement required by the peanut crop was done the dripping irrigation system, oriented by a dynamic agrometeorological model that computes the entrance and exit of water in the soil. During the peanut crop cycle, 9.0 mm of water was used from sowing to emergence; 67.0 mm of water, in the growth stage; 166.0 mm, in the flowering stage; 124.0 mm in the final stage and 46.0 mm from physiological maturity to harvest. Oot of 412.0 mm of the total consumption, 246.0 mm of water was supplied by irrigation and 166.0 mm by the rain. The grain yield was 3.15 t ha-1 for 15% of humidity, and the water use efficiency was 0.764 kg m-3.

Ecohydrology, evapotranspiration and hydrogeochemistry of carbonate mangrove wetlands

Coastal environments can be highly susceptible to environmental changes caused by anthropogenic pressures and natural events. Both anthropogenic and natural perturbations may directly affect the amount and the quality of water flowing through the ecosystem, both in the surface and subsurface and can subsequently, alter ecological communities and functions. The Florida Everglades and the Sian Ka'an Biosphere Reserve (Mexico) are two large ecosystems with an extensive coastal mangrove ecotone that represent a historically altered and pristine environment, respectively. Rising sea levels, climate change, increased water demand, and salt water intrusion are growing concerns in these regions and underlies the need for a better understanding of the present conditions. The goal of my research was to better understand various ecohydrological, environmental, and hydrogeochemical interactions and relationships in carbonate mangrove wetlands. A combination of aqueous geochemical analyses and visible and near-infrared reflectance data were employed to explore relationships between surface and subsurface water chemistry and spectral biophysical stress in mangroves. Optical satellite imagery and field collected meteorological data were used to estimate surface energy and evapotranspiration and measure variability associated with hurricanes and restoration efforts. Furthermore, major ionic and nutrient concentrations, and stable isotopes of hydrogen and oxygen were used to distinguish water sources and infer coastal groundwater discharge by applying the data to a combined principal component analysis-end member mixing model. Spectral reflectance measured at the field and satellite scales were successfully used to estimate surface and subsurface water chemistry and model chloride concentrations along the southern Everglades. Satellite imagery indicated that mangrove sites that have less tidal flushing and hydrogeomorphic heterogeneity tend to have more variable evapotranspiration and soil heat flux in response to storms and restoration. Lastly, water chemistry and multivariate analyses indicated two distinct fresh groundwater sources that discharge to the phosphorus-limited estuaries and bays of the Sian Ka'an Biopshere Reserve; and that coastal groundwater discharge was an important source for phosphorus. The results of the study give us a better understanding of the ecohydrological and hydrogeological processes in carbonate mangrove environments that can be then be extrapolated to similar coastal ecosystems in the Caribbean.