Gellerstedt problem with a generalized Frankl matching condition on the type change line with data on external characteristics

2016 ◽  
Vol 52 (2) ◽  
pp. 240-247 ◽  
Author(s):  
T. E. Moiseev
Crystals ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 19
Author(s):  
Sergei N. Smetanin ◽  
Michal Jelínek ◽  
Dmitry P. Tereshchenko ◽  
Mikhail N. Ershkov ◽  
Václav Kubeček

We propose and study the conditions of zero-dispersion phase matching for parametric Raman interactions in birefringent crystals differing by anisotropy of zero-dispersion wavelength and allowing for the spectral tuning of the zero-dispersion phase-matching condition. We choose a highly birefringent crystal of calcite having a wide zero-dispersion anisotropy range for the demonstration of new effects of laser pulse shortening in parametric Raman lasers with spectrally tunable zero-dispersion phase matching. We demonstrate the anti-Stokes (1168 nm) and multi-Stokes (1629 nm) picosecond pulse shortening and self-separation of single 80-ps ultra-short pulse from the zero-dispersion phase-matched parametric Raman lasers that are based on the calcite crystal without using any electro-optical device.


Water ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 99
Author(s):  
Puyu Cao ◽  
Rui Zhu

Parallel compressor theory (PCT) is commonly used to estimate effects of inlet distortion on compressor performance. As well as compressor, the actual inflow to pump is also nonuniform and unfavorable for performances. Nowadays, insufficient understanding of nonuniform inflow effects on pump performance restricts its development. Therefore, this paper applies PCT to predict external characteristics and evaluate internal flow instability of waterjet pump under nonuniform inflow. According to features of nonuniform inflow, the traditional PCT is modified and makes waterjet pump sub-divided into two circumferential tubes owning same performances but with different inlet velocity (representing nonuniform inflow). Above all, numerical simulation has been conducted to validated the applicability and accuracy of PCT in head prediction of waterjet pump under nonuniform inflow, since area-weighted sum of each tube head (i.e., theoretical pump head) is highly consistent with simulated result. Moreover, based on identifications of when and which tube occurs stall, PCT evaluates four stall behaviors of waterjet pump: partial deep stall, partial stall, pre-stall and full stall. Furthermore, different stall behavior generates different interactions between head variation of each tube, resulting in a multi-segment head curve under nonuniform inflow. The modified PCT with associated physical interpretations are expected to provide a sufficient understanding of nonuniform inflow effects on pump performances.


Sensors ◽  
2021 ◽  
Vol 21 (3) ◽  
pp. 886
Author(s):  
Cui Dai ◽  
Chao Guo ◽  
Yiping Chen ◽  
Liang Dong ◽  
Houlin Liu

The strong noise generated during the operation of the centrifugal pump harms the pump group and people. In order to decrease the noise of the centrifugal pump, a specific speed of 117.3 of the centrifugal pump is chosen as a research object. The bionic modification of centrifugal pump blades is carried out to explore the influence of different bionic structures on the noise reduction performance of centrifugal pumps. The internal flow field and internal sound field of bionic blades are studied by numerical calculation and test methods. The test is carried out on a closed pump test platform which includes external characteristics and a flow noise test system. The effects of two different bionic structures on the external characteristics, acoustic amplitude–frequency characteristics and flow field structure of a centrifugal pump, are analyzed. The results show that the pit structure has little influence on the external characteristic parameters, while the sawtooth structure has a relatively great influence. The noise reduction effect of the pit structure is aimed at the wide-band noise, while the sawtooth structure is aimed at the discrete noise of the blade-passing frequency (BPF) and its frequency doubling. The noise reduction ability of the sawtooth structure is not suitable for high-frequency bands.


2013 ◽  
Vol 318 ◽  
pp. 100-107
Author(s):  
Zhen Shen ◽  
Biao Wang ◽  
Hui Yang ◽  
Yun Zheng

Six kinds of interpolation methods, including projection-shape function method, three-dimensional linear interpolation method, optimal interpolation method, constant volume transformation method and so on, were adoped in the study of interpolation accuracy. From the point of view about the characterization of matching condition of two different grids and interpolation function, the infuencing factor on the interpolation accuracy was studied. The results revealed that different interpolation methods had different interpolation accuracy. The projection-shape function interpolation method had the best effect and the more complex interpolation function had lower accuracy. In many cases, the matching condition of two grids had much greater impact on the interpolation accuracy than the method itself. The error of interpolation method is inevitable, but the error caused by the grid quality could be reduced through efforts.


Author(s):  
Pujia Yu ◽  
Hailiang Xu ◽  
Shiwei Liu ◽  
Xinfeng Zhao ◽  
Qingqing Zhang ◽  
...  

During the past 20 years, great landscape changes took place in the northwest of China. Landscape change resulted in soil type transformations. This paper discusses the changes and fractal of soil types in oasis. In order to do it, the soil type maps of Manasi River Basin in 1987 and 2006 were used. 13 types of soil and 2 types of land-use were classified and analyzed in the study area. Results indicated many variations in characteristics. Firstly, all soil types underwent remarkable changes from 1987 to 2006 in the study area: the identified changed area was about 30% or 6506.33 km2. Secondly, in comparison with 1987, in 2006 2/3 of the area's soil types increased, while 1/3 decreased. Rapid expansion of Aquicambids (415.28 km2), and rapid decrease of Petrocambids (797.05 km2) and Aquisalids (415.93 km2) were the noticeable findings. Furthermore, Haplocambids obtained largest gains from other soil types, while Petrocambids lost largest area to other types. Additionally, the fractal relationship objectively existed between the perimeter and area of soil patches. The fractal dimension of Aquisalids, Petrocalcids and Ustifluvents became higher and their shapes became more complex during this period. The stability index was higher in 2006 which indicated that the spatial structure of soil type was more stable than in 1987. These chaotic and occasional changes were largely caused by human activities and natural conditions. Consequently, environmental managers should pay more attention to soil changes in the arid and semiarid region. Santrauka Per pastaruosius 20 metų šiaurės vakarų Kinijoje įvyko didelių kraštovaizdžio pokyčių, lėmusių ir dirvožemio tipų pakitimus. Remiantis 1987–2006 m. Manasi upės baseino dirvožemio žemėlapiais, aptariami dirvožemio tipų pokyčiai ir fraktalai oazėse. Pasirinktoje teritorijoje išskirta ir analizuota 13 dirvožemio tipų ir dvejopa žemėnauda. Nustatyta daug kintamųjų parametrų. Pirma, tirtõs teritorijos visų tipų dirvožemiai nuo 1987 iki 2006 m. žymiai pakito. Nustatytoji pokyčių zona apima apie 30 % teritorijos, arba 6 506,32 km2. Antra, palyginti su 1987 m., 2006 m. 10 dirvožemio tipų teritorija padidėjo, o 5 tipų sumažėjo. Sparčiai padidėjo Aquicambids (415,28 km2), sparčiai sumažėjo Petrocambids (797,05 km2) ir Aquisalids (415,93 km2), pokyčiai buvo žymūs. Iš visų kitų pakitusių dirvožemių tipų Haplocambids plotai padidėjo daugiausia, o labiausiai, palyginti su kitais, sumažėjo Petrocambids plotai. Be to, pastebėta, kad tarp dirvožemio teritorijos plotų ir perimetrų objektyviai egzistuoja fraktalinės sąsajos. Fraktalinės dimensijos Aquisalids, Petrocalcids ir Ustifluvents per minėtą laikotarpį padidėjo, o jų formos tapo sudėtingesnės. Stabilumo indeksas 2006 m. buvo didesnis. Tai rodė, kad erdvinė dirvožemio struktūra mažai pakito, tapo stabilesnė, palyginti nei buvo 1987 m. Šiuos atsitiktinius pokyčius iš esmės lėmė žmogaus veikla ir gamtinės sąlygos. Prieita prie išvados, kad sausojo ar pusiau sauso klimato regionuose kraštotvarkos vykdytojai dirvožemio pokyčiams turėtų skirti daugiau dėmesio.


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