Instability Analysis of Nonlinear Surface Waves in a Circular Cylindrical Container Subjected to a Vertical Excitation

Singular perturbation theory of two-time scale expansions was developed both in inviscid and weak viscous fluids to investigate the motion of single surface standing wave in a liquid-filled circular cylindrical vessel, which is subject to a vertical periodical oscillation. Firstly, it is assumed that the fluid in the circular cylindrical vessel is inviscid, incompressible and the motion is irrotational, a nonlinear evolution equation of slowly varying complex amplitude, which incorporates cubic nonlinear term, external excitation and the influence of surface tension, was derived from solvability condition of high-order approximation. It shows that when forced frequency is low, the effect of surface tension on mode selection of surface wave is not important. However, when forced frequency is high, the influence of surface tension is significant, and can not be neglected. This proved that the surface tension has the function, which causes free surface returning to equilibrium location. Theoretical results much close to experimental results when the surface tension is considered. In fact, the damping will appear in actual physical system due to dissipation of viscosity of fluid. Based upon weakly viscous fluids assumption, the fluid field was divided into an outer potential flow region and an inner boundary layer region. A linear amplitude equation of slowly varying complex amplitude, which incorporates damping term and external excitation, was derived from linearized Navier-Stokes equation. The analytical expression of damping coefficient was determined and the relation between damping and other related parameters (such as viscosity, forced amplitude and depth of fluid) was presented. The nonlinear amplitude equation and a dispersion, which had been derived from the inviscid fluid approximation, were modified by adding linear damping. It was found that the modified results much reasonably close to experimental results. Moreover, the influence both of the surface tension and the weak viscosity on the mode formation was described by comparing theoretical and experimental results. The results show that when the forcing frequency is low, the viscosity of the fluid is prominent for the mode selection. However, when the forcing frequency is high, the surface tension of the fluid is prominent. Finally, instability of the surface wave is analyzed and properties of the solutions of the modified amplitude equation are determined together with phase-plane trajectories. A necessary condition of forming stable surface wave is obtained and unstable regions are illustrated. (c) 2005 Elsevier SAS. All rights reserved.

Sedimentation Process of Saturated Sand under Impact Loading

The initial small inhomogeneity of saturated sand could be amplified during the sedimentation process after liquefaction, and cracks could be observed in the sand column. Layers of fine sand could also be found at the exact place where cracks developed and disappeared. The phenomena and the whole process were experimentally shown by X-rays images. To account for the phenomena, a linearized stability analysis of the sedimentation of saturated sand was conducted; however, it did not produce a satisfactory result. A three-phase flow model describing the transportation of fine sand is presented in this paper. It is shown that such a kind of erosion/deposition model was qualitatively in good agreement with the experimental observation.

Hydrodynamic interaction between two vertical cylinders in water waves

The hydrodynamic interaction between two vertical cylinders in water waves is investigated based on the linearized potential flow theory. One of the two cylinders is fixed at the bottom while the other is articulated at the bottom and oscillates with small amplitudes in the direction of the incident wave. Both the diffracted wave and the radiation wave are studied in the present paper. A simple analytical expression for the velocity potential on the surface of each cylinder is obtained by means of Graf's addition theorem. The wave-excited forces and moments on the cylinders, the added masses and the radiation damping coefficients of the oscillating cylinder are all expressed explicitly in series form. The coefficients of the series are determined by solving algebraic equations. Several numerical examples are given to illustrate the effects of various parameters, such as the separation distance, the relative size of the cylinders, and the incident angle, on the first-order and steady second-order forces, the added masses and radiation-damping coefficients as well as the response of the oscillating cylinder.

Monte Carlo Modeling of Micro Scale Gas Flows

An information preservation (IP) method has been used to simulate many micro scale gas flows. It may efficiently reduce the statistical scatter inherent in conventional particle approaches such as the direct simulation Monte Carlo (DSMC) method. This paper reviews applications of IP to some benchmark problems. Comparison of the IP results with those given by experiment, DSMC, and the linearized Boltzmann equation, as well as the Navier-Stokes equations with a slip boundary condition, and the lattice Boltzmann equation, shows that the IP method is applicable to micro scale gas flows over the entire flow regime from continuum to free molecular.

水下高速喷流噪声的产生机制与辐射特性

在对喷流噪声研究进展广泛调研的基础上，本论文采用柱坐标下轴对称的线化欧拉方程（LEE）、空间四阶时间二阶精度的MacCormack差分格式，对水下气体喷流的混合噪声产生与辐射特性进行数值模拟研究。采用基于经验公式的积分计算方法来确定求解线化欧拉方程所需的平均流场，对边界条件给予特殊处理以避免声波通过时产生反射。本文计算声明，线化欧拉方程及其相应的高阶数值方法提供了一个可以预报水下气体喷流混合噪声传播的省时高效的途径。给出的结果指出：由于水介质的密度很大，水下气体喷流远场收集到的噪声强度比同样情况下空中气体喷流要小，这说明水下发射导弹更具隐蔽性。同时，由于水介质中的声速很大，水下的高速喷流噪声场呈现更加均匀的性态，而不是象空中混合噪声在下游沿一定的方向辐射。鉴于本文只考虑常温情况，气体喷流速度是影响喷流噪声产生与辐射的重要参数：马赫数增大，远场的噪声强度随之增大。另外，水下喷流噪声的特性还与扰动频率有关。

NiFeMnO4系列热敏电阻的溶胶-凝胶制备技术研究

用溶胶-凝胶（Sol-gel）技术以及柠檬酸自燃方法制备了NiMn2.0-xFexO4（x=0、0．1、0．15、0．2、0．3）纳米氧化物粉体，并将得到的超细粉体进行压片、烧结、封装等工艺制得热敏电阻。用XRD、SEM、电阻测量等手段表征了烧结体材料的晶相、微观形貌以及电阻性能。电阻测量结果表明：随着铁离子的增加，所得热敏电阻的阻值增大。在所有获得的材料中，其灵敏度B值大于4300K，可认为是一种具有实际应用价值的负系数热敏电阻。

Evolutionary trends of the mitochondrial lineage differentiation in species of genera Martes and Mustela

We compared partial sequences (402 bp) of the mitochondrial cytochrome b gene in 68 individuals of martens (Martes), weasels (Mustela) and their relatives from the Northern Hemisphere to identify the modes of geographic differentiation in each species. We then compared complete sequences (1140 bp) of the gene in 17 species of the family Mustelidae to know the spatial and temporal modes of speciation, constructing linearized trees with transversional substitutions for deeper lineage divergences and with transversions and transitions for younger lineages. Our data suggested that these lineages of Martes and Mustela differentiated in a stepwise fashion with five radiation stages from the generic divergences (stage I) to the intraspecific divergences (stage V), during the last 10 or 20 million years as the fossil evidence suggests. In the lineage of Martes, the first offshoots are of Martes flavigula, M. pennanti, and Gulo gulo (stage II), the second is M. foina (stage III), and the third are M. americana, M. martes, M. melampus, and M. zibellina (stage IV). The divergence of the lineages of Mustela is likely to have taken place concurrently with the radiations of the Martes. These divergence processes are attributable in part to the geographic allocation along the two continents, North America and Eurasia, as well as among peripheral insular domains, such as Taiwan and the Japanese Islands. In addition, the Eurasian continent itself was shown to have been involved in the species diversification in the martens and weasels.

Cloning of rainbow trout (Oncorhynchus mykiss) histone H3 promoter and the activity analysis in rare minnow (Gobiocypris rarus)

Rainbow trout historic H3 (RH3) promoter was cloned via high fidelity PCR. The cloned RH3 promoter was inserted into a promoter-lacked vector pEGFP-1, resulting in an expression vector pRH3FGFP-1. The linearized pRH3EGFP-1 was microinjected into fertilized eggs of rare minnows and the sequential embryogenetic processes were monitored under a fluorescent microscope. Strong green fluorescence was ubiquitously observed at as early as the gastrula stage and then in various tissues at the fry stage. The results indicate that RH3 promoter, as a piscine promoter, could serve in producing transgenic Cyprinoid such as rare minnow. Promoter activity of RH3, CMV and common carp beta-actin (CA) were compared in rare minnow by the expression of respective recombinant EGFP vectors. The expression of pCMVEGFP occurred earlier than the following one, pRH3EGFP-1, and then pCAEGFP during the embryogenesis of the transgenics. Their expression activities demonstrated that the CMV promoter is the strongest one, followed by the CA and then the RH3.

Development of a positive-negative selection procedure for gene targeting in fish cells

The gene targeting technique is a powerful tool for analyzing functions of cloned genes and for generating transgenic animals with site-directed integration of foreign genes. In order to develop this technique in fish, positive-negative selection (PNS) and homologous recombination vectors were constructed, and their expression was examined in fish cells. A vector (pNK) for PNS consists of the neomycin resistance gene (neo) as a positive selectable marker gene and the herpes simplex virus (HSV) thymidine kinase (tk) gene as a negative selectable marker gene. Positive selection with geneticin (G418) of epithelioma papulosum of carp (EPC) cells transfected with linearized pNK vector yielded 350 colonies, while double selection of transfected EPC cells with G418 and gancyclovir (Gc) resulted in nearly complete cell death, demonstrating that the PNS procedure is effective in fish cells. Homologous recombination vectors consist of the Xiphophorus melanoma receptor kinase (X mrk(Y)) gene as homologous sequence in addition to the neo and tk genes. Conditions for homologous recombination vector transfection and drug selection were established. After verification of the feasibility of expression of homologous recombination vectors in EPC cells, the first gene targeting experiments were attempted in the Xiphophorus melanoma cell line, PSM. Positive-negative selection of the targeting vector-transfectants led to a low enrichment in this particular cell line. The reasons for the low enrichment in PSM cells were discussed. (C) 2002 Elsevier Science B.V. All rights reserved.

Introduction of the human lactoferrin gene into grass carp (Ctenopharyngodon idellus) to increase resistance against GCH virus

Haemorrhage can be an epidemic and fatal condition in grass carp. It is known now that the Grass Carp Haemorrhage Virus (GCHV) triggers haemorrhage. Human lactoferrin (hLF) plays an important role in the non-specific immune system, making some organisms more resistant to some viruses. Sperm of grass carp was mixed with linearized pCAhLFc, which is a DNA construct containing an hLF cDNA and the promoter of common carp beta-actin gene, and then electroporated. Then, mature eggs were fertilized in vitro with the treated sperm cells. The fry were sampled and analyzed by polymerase chain reaction (PCR). Results indicated that the foreign gene had been transferred successfully into the cells of some fry. Under optimal electroporation conditions, the efficiency of gene transfer was as high as 46.8%. About 35.7% of treated 5-month-old grass carp contained foreign genes. Most transgenic fry demonstrated significant delays in onset of symptoms of haemerrhage after injection of GCHV, suggesting a significant positive relationship between hLF cDNA and levels of disease resistance (P < 0.01). Results suggest that transgenic grass carp could be bred for increased resistance to haemorrhage. (C) 2002 Elsevier Science B.V. All rights reserved.

HORMONAL REPLACEMENT THERAPY IN FISH - HUMAN GROWTH-HORMONE GENE-FUNCTION IN HYPOPHYSECTOMIZED CARP

Transgenic common carp, Cyprinus carpio, produced by the microinjection of fertilized eggs with a linearized chimeric plasmid pMThGH, a human growth hormone (hGH) gene with a mouse metallothionein-I (MT) gene promoter in pBR322, were used to produce F1 and F2 transgenics. Following hypophysectomy of the transgenic F2 common carp, non-transgenic common carp and non-transgenic crucian carp, growth was monitored for up to 110 days. In addition, recombinant hGH was injected subcutaenously into a group of the non-transgenic crucian carp. Growth rate analyses indicated that (1) hypophysectomy of non-transgenic common carp and crucian carp results in the cessation of growth, (2) hGH administration can stimulate the growth of hypophysectomized crucian carp and (3) hypophysectomized hGH-transgenic common carp continue to grow in the absence of their own growth hormone, suggesting that the hGH-transgene is being expressed in tissues other than the pituitary.

Non-modal instabilities of two-dimensional disturbances in plane Couette flow of a power-law fluid

Instabilities of fluid flows have traditionally been investigated by normal mode analysis, i.e. by linearizing the equations of flow and testing for unstable eigenvalues of the linearized problem. However, the results of eigenvalue analysis agree poorly in many cases with experiments, especially for shear flows. In this paper we study the instabilities of two-dimensional Couette flow of a polymeric fluid in the framework of non-modal stability theory rather than normal mode analysis. A power-law model is used to describe the polymeric liquid. We focus on the response to external excitations and initial conditions by examining the pseudospectra structures and the transient energy growths. For both Newtonian and non-Newtonian flows, the results show that there can be a rather large transient growth even though the linear operator of Couette flow has no unstable eigenvalue. The effects of non-Newtonian viscosity on the transient behaviors are examined in this study. The results show that the "shear-thinning/shear-thickening" effect increases/decreases the amplitude of responses to external excitations and initial conditions. (C) 2010 Elsevier B.V. All rights reserved.

Instabilities and transient behaviors of a liquid film flowing down a porous inclined plane

The nonmodal linear stability of a falling film over a porous inclined plane has been investigated. The base flow is driven by gravity. We use Darcy's law to describe the flow in the porous medium. A simplified one-sided model is used to describe the fluid flow. In this model, the influence of the porous layer on the flow in the film can be identified by a parameter beta. The instabilities of a falling film have traditionally been investigated by linearizing the governing equations and testing for unstable eigenvalues of the linearized problem. However, the results of eigenvalue analysis agree poorly in many cases with experiments, especially for shear flows. In the present paper, we have studied the linear stability of three-dimensional disturbances using the nonmodal stability theory. Particular attentions are paid to the transient behavior rather than the long time behavior of eigenmodes predicted by traditional normal mode analysis. The transient behaviors of the response to external excitations and the response to initial conditions are studied by examining the pseudospectral structures and the energy growth function G(t) Before we study the nonmodal stability of the system, we extend the results of long-wave analysis in previous works by examining the linear stabilities for streamwise and spanwise disturbances. Results show that the critical conditions of both the surface mode and the shear mode instabilities are dependent on beta for streamwise disturbances. However, the spanwise disturbances have no unstable eigenvalue. 2010 American Institute of Physics. [doi:10.1063/1.3455503]

无指盘臭蛙皮肤抗菌肽Odorgrin A和Odorgrin C基因表达载体的构建及其在毕赤酵母中的表达

研究背景与目的：近二十年来，抗生素的广泛使用以及一些不当应用导致临床上出现大量的耐药性病原菌，所以不易产生耐药性的抗菌肽就成为目前研究的热点。本课题组此前的研究表明无指盘臭蛙（Odorrana grahami）皮肤抗菌肽具有广谱抗菌活性，但对真核细胞没有毒性，因此有成为新型药物的潜力。本研究采用毕赤酵母真核表达系统来生物合成抗菌肽Odorgrin A和Odorgrin C，为大量获取抗菌肽资源提供技术支撑。 方法：依照Odorgrin A和C的氨基酸序列、采用酵母偏爱密码子分别设计并化学合成了相应的目的基因序列。目的片段从合成质粒上用Xho Ι和EcoR Ι双酶切下后，与经同样限制酶完全酶切pPIC9K载体所获得的两个大片段直接连接，并转化至大肠杆菌DH5α。用PCR扩增、酶切及测序检测，鉴定正确的重组质粒。提取大量表达载体pPIC9K - Odo A和C并使之线性化后经电击法分别转化毕赤酵母（Pichia pastoris）GS115宿主菌，用营养缺陷型筛选、遗传霉素抗性筛选、PCR扩增和测序检测，鉴定并筛选出对G418具高抗性的Odorgrin A和C重组酵母菌。用甲醇对之进行诱导表达，SDS - PAGE电泳及反相层析检测表达产物，并做抑菌活性检测。 成果：PCR扩增、酶切及测序等结果表明表达载体pPIC9K - Odo A和C构建成功。营养缺陷型筛选、遗传霉素抗性筛选、PCR扩增和测序等证实pPIC9K - Odo A和C已整合入酵母基因组中。SDS - PAGE电泳及反相层析结果表明抗菌肽Odorgrin A和C成功地获得了分泌表达。而抑菌活性实验则检测到部分阳性克隆菌诱导分泌表达的抗菌肽Odorgrin A和C都对测试菌的生长具有较高（>94%）的抑制率。 结论：无指盘臭蛙皮肤抗菌肽Odorgrin A和Odorgrin C基因的表达载体都构建成功，并且都在毕赤酵母系统中获得了成功表达。 Background ＆ Objective: In the recent twenty years, a lot of pathogenic bacteria have come forth in clinic with durable trait derived from making use of and abusing the traditional antibiotics. Therefore, studying antimicrobial peptides, not be easy to be invalidated by durable bacteria, are becomimg popular and important. The skin antimicrobial peptides of Odorrana grahami with broad spectrum antibacterial activity and no toxicity to eukaryotic cell, discovered by previous research work of our workgroup, are looked forward to being potential medication. Pichia pastoris expressional system was used for biosynthesis antimicrobial peptides Odorgrin A and Odorgrin C in this study, for producing abundant antimicrobial peptides. Methods: The foreign fragments which included Odorgrin A or Odorgrin C gene according to their amino acid sequence respectively were synthesized based on the biased codon usage of yeast. The DNA fragments, obtained from the plasmids containing them by digested with Xho Ι and EcoR Ι, were directly ligated with the two bigger fragments obtained from the vector pPIC9K by digested with the same restriction enzymes. And then they were transformed into Escherichia coli DH5α to be selected and amplified positive colonies. The recombinants were testified by using PCR amplification, enzymes digestion and sequencing of the foreign fragment. After the expressional vector pPIC9K - Odo A and pPIC9K - Odo C were linearized, they were transformed into Pichia pastoris GS115 strain by the electroporation. Then the positive colonies which were of the highest geneticin resistant were selected through auxotrophic screening, genetic resistant screening, PCR amplification and sequencing of the inserted fragment. Methanol was used to induce the recombinant yeasts to express the foreign gene. SDS-PAGE electrophoresis, reversed phase chromatography and antibacterial activity experiment were used to testify the expressional products. Results: The evidences of PCR, enzymes digestion and sequence analysis confirmed that the expressional vector pPIC9K - Odo A and pPIC9K - Odo C have been constructed correctly. The results of auxotrophic screening, of genetic resistant screening, of PCR and sequencing of the foreign fragment showed that Odorgrin A and Odorgrin C gene have been homologous integrated with the Pichia pastoris genome. And it was also testified that antimicrobial peptides Odorgrin A and Odorgrin C have been expressed successfully by using SDS - PAGE electrophoresis, reversed phase chromatography and antibacterial activity experiment. Conclusion: The expressional vector of the skin antimicrobial peptides Odorgrin A and Odorgrin C gene of Odorrana grahami have been constructed correctly and both of the genes have been expressed successfully in Pichia pastoris system in this study.

Magnetic structure and orbital ordering in tetragonal and monoclinic KCrF3 from first-principles calculations

KCrF3 has been systematically investigated by using the full-potential linearized augmented plane wave plus local orbital method within the generalized gradient approximation and the local spin density approximation plus the on-site Coulomb repulsion approach. The total energies for ferromagnetic and three different antiferromagnetic configurations are calculated in the high-temperature tetragonal and low-temperature monoclinic phases, respectively.