斜流泵叶轮水力径向力的数值模拟与试验验证（英文）

该文采用数值分析法研究了斜流泵叶轮的水力径向力变化规律,通过数值模拟准确地预测了斜流泵的水力性能,扬程预测误差在4.4%以内。通过数值分析获得了斜流泵叶轮的瞬态水力径向力数据,均匀进口条件下,叶轮的瞬态水力径向力均值几乎为零。对瞬态水力径向力进行傅里叶分析,获得其在频域内的分布,结果显示,当工况从0.6倍设计流量点变至0.4倍设计流量点时,1倍和4倍轴频下的径向力突然增大,叶轮的水力不平衡和动静干涉中的叶片通过激励增强了上述频率下的水力径向力数值。流场分析显示,在小流量工况时,叶轮与导叶体之间的回流涡旋完全占据了泵内流道空间。进一步的压力脉动分析证实,在小流量工况下,动静干涉中的叶片通过激励显著增大了叶轮与导叶之间测试点的压力脉动幅值。     

高比转速斜流泵内部非定常压力脉动特性

为了研究斜流泵叶轮和导叶的动静相干作用引起的内部压力脉动特性,该文基于标准k-ε模型,采用SIMPLEC算法和滑移网格技术,对高比转速斜流泵进行非定常数值模拟,分析了不同工况下的叶轮进出口、导叶中部和导叶出口等位置的压力脉动的时域和频域特性。通过定常计算的扬程、效率值与试验值进行对比,证明该计算方法和网格可以较准确地反映斜流泵内的流动特性。计算结果表明,斜流泵最大压力脉动发生在叶轮进口前,泵运行偏离最优工况越远,叶轮进口处压力系数幅值越大,在0.7Qopt工况时叶轮进口监测点P03的压力系数幅值约为最优工况的1.5倍;压力脉动主频为叶轮叶片通过频率。研究成果为揭示斜流泵内部压力脉动规律提供了一定的理论参考。     

气液两相离心泵受力特性研究

离心泵在气液两相流工况运行时,叶轮内部流动极不稳定,为了研究叶轮在该工况下的受力情况,该文采用计算流体动力学的方法对某一气液两相离心泵进行了研究。基于欧拉-欧拉非均相流模型及SST湍流模型求解气液两相流离心泵的三维湍流流场,并将数值模拟结果与试验数据对比,两者吻合较好。通过对不同含气率工况下的离心泵瞬态特性进行分析发现,叶轮所受轴向力的大小随着时间的变化而波动,进口含气率达到3%时,轴向力脉动出现明显的峰值,这些峰值所对应的频率均为叶轮转频,随着进口含气率的增加,出现了2个及以上的峰值,进口含气率为7%工况的轴向力脉动峰值是3%工况的3倍,是5%工况的2倍;叶轮所受径向力大小及径向力脉动幅值均随进口含气率的增加呈先增加后减小的趋势,各工况下径向力脉动峰值所对应的频率均为叶片转频的倍数;通过分析进口含气率分别为1%、3%及7%工况下叶轮中间截面的含气率分布、涡量分布以及静压分布可得,叶轮内含气率较高区域的涡量也较大,而该区域的压力分布也不均匀,由此可见,叶轮内气液分布不均导致了叶轮内的压力分布不均,从而使叶轮受力不均。     

基于运行稳定性的离心泵导叶安装位置优化试验与分析

为提高导叶式离心泵的运行稳定性,探寻径向导叶相对隔舌的最佳安装位置,该文通过数值模拟确定了某型号单级单吸导叶式离心泵的3种典型导叶安装位置,并通过试验对3种安装位置下的外特性、压力脉动和振动特性进行了测试。对比分析了外特性曲线、压力脉动幅值和频域特性、振动幅值和频域特性。研究结果表明,蜗壳隔舌处于导叶出口流道中间位置时,离心泵水力性能最好,效率相对于其他2个位置最多提高2个百分点;测点在3个方向上的振动加速度幅值均处于较低水平,但是会增大蜗壳扩散段在大流量时的压力脉动幅值,最多高出2.25 k Pa。由于径向导叶的存在,2倍轴频和3倍轴频是压力脉动的主要激励频率;2倍轴频与6倍轴频是振动加速度的主要激励频率。蜗壳扩散段压力脉动幅值随着流量增加先减小后增大,在0.6倍工况达到最低值。导叶安装位置对压力脉动频域分布规律和振动加速度频谱特性的影响较小,相同工况下,测点的压力脉动频域分布规律和振动加速度频谱特性基本相同。因此,该研究为径向导叶的合理布置提供了参考。     

多级离心泵内部非定常压力分布特性

为研究多级离心泵运行过程中的振动特性,以一台两级离心泵为例,建立整泵的流道模型,基于计算流体力学(computational fluid dynamics,CFD)软件ANSYS CFX,选取标准k-ε模型,进行全流场三维非定常数值计算,获取额定工况下叶轮出口处和径向导叶内不同位置处的压力脉动特性、作用在叶轮上的扭矩特性以及作用在叶轮上的径向力特性,并对其进行频域分析。结果表明:各监测点的压力均呈现出以叶片通过频率为主频的周期性压力波动;作用在叶轮上的径向力呈现脉动状态,其矢量分布图基本呈圆形分布,作用在叶轮上的扭矩呈现出以叶片通过正导叶频率为主频的周期性波动;叶片和导叶间动静干涉是影响压力和扭矩波动的主要因素。该研究结果为改善泵体结构设计,提高多级泵的使用稳定性提供依据。     

不同叶顶间隙对斜流泵性能影响的数值分析

斜流泵具有高效,启动特性好,运行工况宽等特点。目前斜流泵设计时,无法定量评估叶顶间隙对性能影响的敏感性。为了揭示不同叶顶间隙值对斜流泵内部流场和性能的影响,给定叶顶间隙选取的范围。分别选取无叶顶间隙和叶顶间隙分别为0.5,1.0,1.5 mm共4种设计方案的斜流泵为对象,基于剪切压力传输模型(shear stress transport,SST k-ω)湍流模型,SIMPLEC算法与块结构化网格,对斜流泵内部流场进行数值模拟和试验验证。结果表明,叶顶间隙为0.5 mm时,可以有效抑制斜流泵的扬程-流量正斜率特性,此时斜流泵的效率值最高;无叶顶间隙时,斜流泵扬程-流量正斜率特性较为明显;叶顶间隙为1 mm时,数值模拟与试验结果吻合较好,SST k-ω模型可较好模拟斜流泵叶顶间隙区流动特征,性能预估结果具有一定的可信度。在小流量工况下,叶顶间隙为0.5 mm可有效抑制斜流泵的正斜率不稳定特性。小叶顶间隙0.5mm时,斜流泵水力性能最优;叶顶间隙增大时,叶顶泄漏流动逐渐显著,叶轮出口近壁区轴面流速和涡量分布规律显著变化,表明叶顶间隙直接影响叶轮轴面速度分布规律和叶片负荷分布规律,由于受壁面摩擦阻力和液体黏滞阻力的影响,叶轮轮毂和叶顶间隙侧的叶轮轴面速度较小;叶顶间隙增大时,叶轮轮毂和叶顶间隙侧叶片负荷急剧衰减,影响叶片的做功能力。同时,叶顶泄漏流动区域与叶片主流区域的掺混效应,使叶片轮缘的低速区扩展到叶轮流道内部的主流区域,引起叶轮流道内部主流流动的堵塞效应,产生二次流动、漩涡等流动不稳定现象。上述研究结果,揭示了叶顶间隙对斜流泵内部流场和性能的影响机理,为斜流泵叶顶间隙的选择提供了理论依据。     

半高导叶端面间隙对离心泵水力性能影响的数值模拟与验证

离心泵中存在各种间隙,其间隙流动极其复杂,易出现泄漏流、间隙涡等复杂湍流,影响离心泵的水力性能及运行稳定性.该文结合数值模拟与试验方法,采用SSTk–ω湍流模型,研究半高导叶端面间隙对离心泵水力性能及内部流场的影响规律,重点探讨半高导叶端面间隙对离心泵水力性能的影响机理.结果表明,适当的半高导叶端面间隙能有效改善离心泵水力性能,拓宽其高效区,导叶叶高为1.0时,最高效率点流量37.5m3/h处,而导叶叶高为0~0.8时,其最高效率点流量42.5m3/h处;导叶端面间隙为0.4~0.6导叶叶高时,离心泵的效率与扬程最优,且最大效率为57.5%;在0.6倍设计工况、0.8倍设计工况和1.0倍设计工况时,带半高导叶端面间隙的离心泵中叶轮做功和导叶内总压损失均高于普通导叶式离心泵,在0.6倍设计工况,导叶叶高为1.0时叶轮做功比导叶叶高为0~0.8时叶轮做功低将近7m水头,且在0.6倍设计工况和0.8倍设计工况下,导叶叶高为0时导叶内总压损失平均值比导叶叶高为1.0时分别高6.66m、4.62m水头;在1.2倍设计工况和1.4倍设计工况时,其叶轮做功和导叶内总压损失均低于普通导叶式离心泵;在各流量工况下,带导叶端面间隙的离心泵中蜗壳内总压损失均小于普通导叶式离心泵;随着流量增加,带半高导叶端面间隙的离心泵中叶轮-导叶动静干涉作用在逐渐减弱,叶轮-蜗壳动静干涉作用逐渐凸显.研究结果为离心泵导叶优化设计提供参考.     

气液两相离心泵受力特性分析

离心泵在气液两相流工况运行时,叶轮内部流动极不稳定,为了研究叶轮在该工况下的受力情况,该文采用计算流体动力学的方法对某一气液两相离心泵进行了研究。基于欧拉-欧拉非均相流模型及SST湍流模型求解气液两相流离心泵的三维湍流流场,并将数值模拟结果与试验数据对比,两者吻合较好。通过对不同含气率工况下的离心泵瞬态特性进行分析发现,叶轮所受轴向力的大小随着时间的变化而波动,进口含气率达到3%时,轴向力脉动出现明显的峰值,这些峰值所对应的频率均为叶轮转频,随着进口含气率的增加,出现了2个及以上的峰值,进口含气率为7%工况的轴向力脉动峰值是3%工况的3倍,是5%工况的2倍;叶轮所受径向力大小及径向力脉动幅值均随进口含气率的增加呈先增加后减小的趋势,各工况下径向力脉动峰值所对应的频率均为叶片转频的倍数;通过分析进口含气率分别为1%、3%及7%工况下叶轮中间截面的含气率分布、涡量分布以及静压分布可得,叶轮内含气率较高区域的涡量也较大,而该区域的压力分布也不均匀,由此可见,叶轮内气液分布不均导致了叶轮内的压力分布不均,从而使叶轮受力不均。     

离心泵内部流动时序效应的CFD计算

为了研究导叶时序效应对离心泵性能的影响,采用CFD方法对设计流量工况下导叶不同时序位置时离心泵内部流动进行了数值计算,定义导叶叶片尾缘与隔舌夹角为0时为时序位置0,每增加10°增加一个时序位置。得到了泵内外特性随时序位置不同的变化规律,并分析了不同时序位置对隔舌处压力脉动及叶轮径向力非定常特性的影响。结果表明：随着导叶时序位置的增加,泵扬程和效率呈先上升后下降的趋势,导叶与隔舌相对位置在20°时达到最大值,扬程较最低值提高0.6 m;时序效应对隔舌处1倍和2倍叶片通过频率影响最大,且随时序位置的增加,主频和压力脉动幅值呈先减小后增加的趋势,时序位置1时幅值为4时的70%;导叶时序位置的改变主要影响泵底座-出口方向叶轮径向力分量。研究结果为离心泵径向导叶设计提供参考。     

前置导叶调节混流泵性能的数值模拟

利用有限元分析软件数值求解不同工况下混流泵的内部流场,了解前置导叶调节工况的基本规律,以改善混流泵在非设计工况运行时的水力性能。在叶轮叶片进口部位读取液流流入叶轮时绝对液流角、相对液流角、和绝对速度圆周分量的值,分析其随前置导叶安放角改变而变化的规律。结果表明,叶轮进口绝对液流角小于前置导叶安放角,流量越小相差的幅度越大;大流量工况下进口预旋调节的效果比小流量工况更为明显;在一定流量范围内,通过进口导叶调节使得叶轮进口液流满足无冲击进口或者较小冲角进口条件,可有效地改善混流泵在非设计工况的水力性能。     

低氮和干旱胁迫对富士和秦冠生长及氮素利用的影响

【目的】以富士（Fuji）、 秦冠（Qinguan）嫁接在平邑甜茶（Malus hupehensis Rehd.）上的当年生盆栽苗为试验材料,采用砂培方法,研究了缺氮胁迫和干旱对富士和秦冠生长情况、 光合参数、 植株各部位氮磷钾含量及氮素利用效率的影响,分析比较了低氮干旱条件下富士和秦冠生长及氮素利用的差异,以期为果树生产高效肥水利用提供理论指导。【方法】试验共设四个处理: 正常氮正常水（ZZ）、 低氮正常水（DZ）、 正常氮干旱（ZG）、 低氮干旱（DG）。氮素和水分均设置两个水平,分别为正常氮（6 mmol/L NO-3-N）、 低氮（0.3 mmol/LNO-3-N）、 正常供水（保持盆中砂子相对含水量为饱和含水量的80%~85%）、 干旱处理（保持盆中砂子相对含水量为饱和含水量的60%~65%）。【结果】富士和秦冠的生物量（茎和叶）、 株高茎粗等生长指标以及光合速率、 气孔导度、 蒸腾速率均为正常氮正常水（ZZ）＞低氮正常水（DZ）＞正常氮干旱（ZG）＞低氮干旱（DG）,并且相对应处理下秦冠的以上指标均高于富士;正常供水下,缺氮处理使富士、 秦冠的根冠比比正常氮处理均有所增加,富士提高了2.05%,秦冠提高了22.40%。富士和秦冠的氮、 磷、 钾含量均表现出正常氮正常水（ZZ）＞低氮正常水（DZ）＞正常氮干旱（ZG）＞低氮干旱（DG）; 氮、 钾元素含量在植株各部位的分布顺序依次是叶＞根＞茎,磷元素则是根＞叶＞茎;光合氮素利用效率（PNUE）和氮素利用效率表现为秦冠处理之间差异极显著,富士处理之间差异不显著;秦冠的PNUE和NUE明显高于富士,在低氮正常水（DZ）处理下,秦冠氮肥利用率比富士高42.07%,在低氮干旱（DG）处理下高64.14%;低氮胁迫下富士和秦冠的NUE显著提高,并且秦冠提高的幅度高于富士。【结论】施用氮肥能够显著提高富士与秦冠的干物质量,同等水肥条件下,秦冠生长优于富士;水分亏缺会减少叶片对氮的吸收,干旱条件下适度增施氮肥,可提高果树的抗旱能力;低氮干旱胁迫下秦冠的生长指标、 光合指标及氮素利用效率指标均优于富士,表现出较强的抗低氮干旱胁迫的能力。     

Pasture Vegetation Elemental Analysis by Laser-Induced Breakdown Spectroscopy

Laser-induced breakdown spectroscopy (LIBS) is a new technique for the analysis of plant material. This study investigates the application of LIBS to pasture-based plant samples. The LIBS measurements were obtained from pelletized pasture samples (100 samples) that had been also analyzed by inductively coupled plasma–optical emission spectroscopy (ICP-OES) following microwave digestion for calibration and comparison purposes. Comparisons for elements sodium (Na), potassium (K), magnesium (Mg), calcium (Ca), manganese (Mn), iron (Fe), copper (Cu), zinc (Zn), boron (B), phosphorus (P), and sulfur (S) showed that LIBS could be used for almost all the standard profile total elements with concentrations down to low mg/kg levels (observed error of Na: 0.024 percent, K: 0.18 percent, Mg: 0.016 percent, Ca: 0.073 percent, P: 0.017 percent, Mn: 31 mg/kg, Fe: 150 mg/kg, Zn: 6.6 mg/kg, and B: 1.1 mg/kg). Elemental analysis at less than mg/kg levels was not possible using LIBS. The elements S and Cu were particularly difficult to analyze with reliability using LIBS at the concentration levels found in the plant samples. Replacing microwave digestion and subsequent ICP analysis with a direct analysis of dried plant samples using LIBS has the potential to improve the productivity and reduce the cost of testing.     

Faculty positions:Center for Agricultural Resources Research,Chinese Academy of Sciences

正The Center for Agricultural Resources Research(CARR),the Institute of Genetics and Developmental Biology(IGDB),Chinese Academy of Sciences,invites applicants for several research group leader positions.CARR is one of the research organizations in Chinese Academy of Sciences(CAS).We seek nominations and applications from individuals who have expertise and a record of accomplishment in research areas related to ecology,agro-hydrology,     

Biodiversity and ecogeography of wild Lactuca spp. in some European countries

Staff members of the Department of Botany of Palacký University in Olomouc and Gene Bank Department – Workplace Olomouc, Research Institute of Crop Production in Prague, Czech Republic, conducted an expedition in seven European countries (Austria, Czech Republic, France, Germany, Italy, the Netherlands, Switzerland) in August/September 1999 to collect wild Lactuca spp. germplasm and study its geographic distribution, ecology and biodiversity. During the mission, more than 600 locations were visited resulting in the collection of 602 seed samples (accessions) of wild Lactuca species and 13 seed samples of related genera (Chondrilla and Mycelis). Lactuca serriola f. serriola, L. serriola f. integrifolia, L. saligna and L. viminea subsp. chondrilliflora were prevalent in southern Europe (Italy, France), however, only L. serriola was common in central and western Europe (Austria, Czech Republic, Germany, Netherlands, Switzerland). The greatest diversity of Lactuca species was found in France, where also the most seed samples (165) were collected. The most characteristic habitats with a high density of Lactuca spp. populations were observed along roads and highways, grassy ditches, ruderal communities, and dust-heaps. Natural infections by powdery mildew (Erysiphe cichoracearum) and downy mildew (Bremia lactucae) on some wild Lactuca spp. were observed. Recent observations concerning the geographic distribution, population structure, habitats, and natural occurrence of diseases of Lactuca spp. are discussed. This assemblage of genetic resources of Lactuca spp. can serve as the basis of future studies of species diversification, spatial population structure, plant microevolution, domestication processes, and genetic variability of host-parasite interactions.     

Macroinvertebrates in North American tallgrass prairie soils: effects of fire, mowing, and fertilization on density and biomass

The responses of tallgrass prairie plant communities and ecosystem processes to fire and grazing are well characterized. However, responses of invertebrate consumer groups, and particularly soil-dwelling organisms, to these disturbances are not well known. At Konza Prairie Biological Station, we sampled soil macroinvertebrates in 1994 and 1999 as part of a long-term experiment designed to examine the effects and interactions of annual fire, mowing, and fertilization (N and P) on prairie soil communities and processes. For nearly all taxa, in both years, responses were characterized by significant treatment interactions, but some general patterns were evident. Introduced European earthworms (Aporrectodea spp. and Octolasion spp.) were most abundant in plots where fire was excluded, and the proportion of the total earthworm community consisting of introduced earthworms was greater in unburned, unmowed, and fertilized plots. Nymphs of two Cicada genera were collected (Cicadetta spp. and Tibicen spp.). Cicadetta nymphs were more abundant in burned plots, but mowing reduced their abundance. Tibicen nymphs were collected almost exclusively from unburned plots. Treatment effects on herbivorous beetle larvae (Scarabaeidae, Elateridae, and Curculionidae) were variable, but nutrient additions (N or P) usually resulted in greater densities, whereas mowing usually resulted in lower densities. Our results suggest that departures from historical disturbance regimes (i.e. frequent fire and grazing) may render soils more susceptible to increased numbers of European earthworms, and that interactions between fire, aboveground biomass removal, and vegetation responses affect the structure and composition of invertebrate communities in tallgrass prairie soils.     

Properties of anaerobically digested and composted municipal solid waste assessed by linking soil mesofauna dynamics and nitrogen modelling

We have studied the effect of anaerobically digested (ADMSW) and composted municipal solid waste (CMSW) on mineralization and foodweb dynamics to verify the hypothesis that ADMSW would immobilize N right after addition to soil in contrast to addition with CMSW. Another hypothesis was that the mesofauna (enchytraeids and microarthropods) would stimulate N release from the decomposer community. We measured excretion of -N and urea-N from the mesofauna and hypothesized that enchytraeids would release urea. ADMSW and CMSW were amended to pots with sandy loam and barley. The pots were divided into treatments with or without mesofauna. Mesofauna, plant N and biomass, soil N and ergosterol (fungal biomass) were measured over a 113-day period of four equidistant samplings. Soil respiration, N mineralization and N release by the mesofauna were modelled from concurrent studies. ADMSW- and CMSW-treated soils initially (<20 days) immobilized N. The amendments did not increase plant growth substantially, and this was probably due to N-limitation in the early stages of plant growth. Enchytraeid abundance was about three times higher in ADMSW- than CMSW-treated soils, indicating that ADMSW contained more labile compounds, bacteria, and microfauna. The mesofauna did not affect N-content, but the cumulated -N excreted by the mesofauna was estimated to be substantial and about one-fifth of total plant N in ADMSW. An explanation for this discrepancy might be that in the absence of the mesofauna, other members of the detrivore and microbivore community performed the mesofauna’s function. Neither enchytraeids nor microarthropods excreted urea.     

Faculty positions: Center for Agricultural Resources Research,Chinese Academy of Sciences

正The Center for Agricultural Resources Research(CARR),the Institute of Genetics and Developmental Biology(IGDB),Chinese Academy of Sciences,invites applicants for several research group leader positions.CARR is one of the research organizations in Chinese Academy of Sciences(CAS).We seek nominations and applications from individuals who have expertise and a record of accomplishment in research areas related to ecology,agro-hydrology,     

Faculty positions: Center for Agricultural Resources Research,Chinese Academy of Sciences

正The Center for Agricultural Resources Research(CARR),the Institute of Genetics and Developmental Biology(IGDB),Chinese Academy of Sciences,invites applicants for several research group leader positions.CARR is one of the research organizations in Chinese Academy of Sciences(CAS).We seek nominations and applications from individuals who have expertise and a record of accomplishment in research areas related to ecology,agro-hydrology,     

Variation in quality parameters between and within 14 Nordic tree fruit and berry species

Abstract

A 3-year study was carried out to investigate quality parameters in 14 tree fruit and berry species grown in southern Norway. The species were blueberry, apple, aronia, sour cherry, sweet cherry, red raspberry, strawberry, blackcurrant, gooseberry, red currant and elderberry, harvested along with wild bilberry, cloudberry and lingonberry. Significant differences between species were identified for all quality parameters. The coefficient of variation between species was lowest for pH (12.5%), dry matter (18.9%) and soluble solids (25.3%), followed by titratable acids (59.3%), total phenolics (83.8%), antioxidant capacity FRAP (85.7%) and antiradical power by the DPPH-assay (97.8%), total monomeric anthocyanins (132%) and ascorbic acid (137%). Average coefficient of variation within species were lower and ranged from 4 (pH) to 62% (ascorbic acid). Only the FRAP values were significantly affected by harvesting year with lower levels in 2004 than in 2005 and 2006. There were significant interactions between species and harvesting year for dry matter, soluble solids, pH, ascorbic acid and FRAP. The results indicate generic ranges in composition within species independent upon growing location and climate, and the composition of the tree fruits and berries is not likely to deviate from these ranges. It is concluded that desirable composition of tree fruits and berries and their products should primarily be achieved by selection among species rather than searching fors broadened variation within individual species.     

Potassium Fixation and Release Characteristics in Rhizosphere and Nonrhizosphere Soils for a Rapeseed–Rice Cropping Sequence

Potassium (K) fixation and release in soil are important factors in the long-term sustainability of a cropping system. Changes in K concentration and characteristics of K fixation and release in rhizosphere and nonrhizosphere soils in the rapeseed (Brassica napus L.)–rice (Oryza sativa L.) rotation were investigated using a rhizobox system. The concentrations of different forms of K in both rhizosphere and nonrhizosphere soils decreased with plants compared to without plants, regardless of K fertilizer application. Potassium uptake by crops mainly came from the rhizosphere soil. In the treatment without K fertilizer (–K), the main form of K supplied by the soil to the crops was 1.0 mol L^?1 nitric acid (HNO₃) nonextractable K, followed by nonexchangeable K, and then exchangeable K. In the treatment with K fertilizer (+K), the main K forms supplied by the soil to the crops were exchangeable K and nonexchangeable K. The amount and rate of K fixation after one cycle of the rapeseed–rice rotation was greater in rhizosphere soil than in nonrhizosphere soil. The amount and rate of K fixation of soil in the +K treatment were significantly less than in the –K treatment. The cumulative amounts of K released with 1.0 mol L^?1 ammonium acetate (NH₄OAc) and 1.0 mol L^?1 HNO₃ extraction increased with the increasing numbers of extractions, but the K-releasing power of soil by successive extraction decreased gradually and finally became almost constant. The release of K was less in rhizosphere soil than in nonrhizosphere soil. The release of K in the +K treatment was similar to that in the –K treatment in rhizosphere soil, but the K release in nonrhizosphere soil was greater with the +K than the –K treatment. Overall, the information obtained in this study will be helpful in formulating more precise K fertilizer recommendations for certain soils.