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Secondary steady-state and time-periodic flows from a basic flow with square array of odd number of vortices

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Applied Mathematics and Mechanics(English Edition) 2023年第3期44卷 447-458页

作者： Zhimin CHEN w.g.price School of Mathematics and Statistics Shenzhen UniversityShenzhen 518060Guangdong ProvinceChina Ship Science University of SouthamptonSouthampton SO171BJU.K.

In a magnetohydrodynamic(MHD)driven fluid cell,a plane non-parallel flow in a square domain satisfying a free-slip boundary condition is *** energy dissipation of the flow is controlled by the viscosity and linear *** latter arises from the influence of the Hartmann bottom boundary layer in a three-dimensional(3D)MHD experiment in a square bottomed *** basic flow in this fluid system is a square eddy flow exhibiting a network of N~2 vortices rotating alternately in clockwise and anticlockwise *** N is odd,the instability of the flow.g.ves rise to secondary steady-state flows and secondary time-periodic flows,exhibiting similar characteristics to those observed when N=*** this reason,this study focuses on the instability of the square eddy flow of nine *** is shown that there exist eight bi-critical values corresponding to the existence of eight neutral eigenfunction ***,there exist non-real neutral eigenfunctions,which produce secondary time-periodic flows exhibiting vortices merging in an oscillatory *** Hopf bifurcation phenomenon has not been observed in earlier investigations.

关键词： two-dimensional(2D)Navier-Stokes equation non-parallel square vortex flow primary bifurcation secondary steady-state flow secondary time-periodic flow

Dissipative free-surface solver for potential flow around hydrofoil distributed with doublets

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Applied Mathematics and Mechanics(English Edition) 2012年第11期33卷 1467-1480页

作者：陈志敏 w. g. price Ship Science University of Southampton

A doublet integral equation is formulated for the two-dimensional dissipative potential flow around a hydrofoil submerged below a free-water surface. The free-water surface is assumed to involve energy dissipation, and thus it is the source of damping. A doublet panel method is developed from incorporation of the dissipative green function approach and the doublet distributions on the hydrofoil surface. Numerical computations are implemented, and the derived numerical results are in good agreement with analytic solutions and experimental measurements.

关键词： panel method potential flow free-surface wave energy dissipation hydro-foil

Perturbations in the earthworm metabolite profile during a two-week exposure to metformin

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Emerging Contaminants 2024年第3期10卷 221-229页

作者： J.D.gillis g.w.price S.O.Prasher Department of Bioresource Engineering McGill UniversityFaculty of Agricultural and Environmental SciencesMacdonald-Stewart Building MS1-02721111 Lakeshore RoadSainte-Anne-de-BellevueQuebecH9X 3V9Canada Department of Engineering Dalhousie UniversityFaculty of Agriculture39 Cox RoadPO Box 550TruroNova ScotiaB2N 5E3Canada

Metformin is among the most prescribed pharmaceuticals in many countries,and as a result has shown up in biosolids derived from municipal wastewater treatment that are destined for land *** humans taking metformin,the effects include reduced glucose uptake in the intestine,a reduction in gluconeogenesis,increased oxidation of fatty acids,and reduced fatty acid *** effects of metformin on soil-dwelling organisms are not well *** study tested the effects of metformin exposure(0,10,40,160,640μg g^(-1))on the earthworm(***)at four time points(6 h,2 d,7 d,and 14 d)using gC-MS to reveal sub-lethal effects and elucidate potential modes of action for *** were no mortalities observed,and earthworms exposed to the highest concentrations(160 and 640μg g^(-1))gained weight relative to the control on days 7 and *** reductions on day 7 were observed for glucose and malic acid(consistent with a reduction in gluconeogenesis),and for palmitic and margaric acid(consistent with increased oxidation and reduced synthesis of fatty acids).Lactic acid ranked first and second among canonicals 1 and 2 respectively and led to significant differences in discriminant scores across concentration and *** levels increased to equal or greater than the control on day 14,likely caused by reduced exposure as metformin is reported to be readily transformed by microorganisms under aerobic *** observations were consistent with the known effects of metformin in humans,and suggests that a similar mode of action exists in earthworms.

关键词： Metabolites Toxicity Earthworms Metformin gC-MS

SOLITON SOLUTIONS OF A CLASS OF gENERALIZED NONLINEAR SCHRODINgER EQUATIONS

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Applied Mathematics(A Journal of Chinese Universities) 1997年第4期12卷 389-398页

作者： CAOQINgJIE ZHANgTIANDE K.DJIDJELI g.w.price E.H.TwIZELL DepartmentofMathematicsandPhysics ShangdongUniversityofTechnologyJinan.Chlna250061 DepartmentoFMathematicsandPhysics ShangdongUniver.~ityo~Tecl~nologyJinan.China250061 DepartmentofShipScience UniversityofSouthamptonSouthamptonSo171BJEngland. DepartmentofShipScience UniversityofSouthamptonSouthamptonSO171BJEngland DepartmentofMathematicsandStatistics BrunelUniversityUxbridgeMiddlesexUB83PHEngland.

Soliton solutions of a class of generalized nonlinear evolution equations are discussed analytically and numerically. This is done by using a travelling wave method to formulate one soliton solution and the finite difference method to the numerical solutions and the interactions between the solitons for the generalized nonlinear Schrdinger equations. The characteristic behavior of the nonlinearity admitted in the system has been investigated and the soliton states of the system in the limit when α→0 and α→∞ have been studied. The results presented show that the soliton phenomenon is characteristics associated with the nonlinearities of the dynamical systems.

关键词： Soliton solution generalized nonlinear Schr?dinger equation weighted six-point scheme

Ab Initio Molecular Dynamic Simulation on the Elasticity of Mg_3Al_2Si_3O_(12) Pyrope

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Journal of Earth Science 2011年第2期22卷 169-175页

作者： Li Li Donald J weidner John Brodholt Dario Alfe g David price Mineral Physics Institute Department of Geosciences University of New York at Stony Brook Stony Brook NY 11790 USA Department of Earth Sciences University College London Gower Street London WC1E6BT UK

we calculated thermo-elastic properties of pyrope（Mg3Al2Si3O12） at mantle pressures and temperatures using Ab initio molecular dynamic simulation.A third-order Birch-Murnaghan equation at a reference temperature of 2 000 K fits the calculations with bulk modulus,K0=159.5 gPa,K0＇=4.3,V0=785.89 A3,grüneisen parameter,γ0=1.15,q=0.80,Anderson grüneisen parameter δT=3.76 and thermal expansion,α0=2.93×10^-5 K^-*** to room temperature,where V0=750.80 A3,γ0 and α0 become 1.11 and 2.47×10^-5 K^-*** elastic properties of pyrope are found to be nearly isotropic at transition zone conditions.

关键词： AIMD thermo-elasticity pyrope high pressure.

On the continued acceleration of bomb casing fragments following casing fracture

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Defence Technology（防务技术） 2014年第2期10卷 211-218页

作者： Michael D.HUTCHINSON David w.price AwE.Aldermaston Reading RG7 4PR Institute of Shock Physics Imperial College

It has been said that,once a bomb casing has fractured, "detonation gases will then stream around the fragments or bypass them,and the acceleration process stops there." However,while apparently copious gas flow through casing fractures indicates some pressure release,it is also an indication of significant gas drive pressure,post casing *** paper shows two approaches to the problem of calculating the actual loss of *** presents first-order analytical calculations,in cylindrical geometry,of pressure loss to the inside surface of a fractured *** second shows the modelling of a selected example in the CTH *** approaches reveal that gas escape,while occurring at its own soundspeed relative to the adjacent casing fragments,has to compete with rapid radial expansion of the *** with some historic experiments now publicly available,our calculations indicate that post-fracture casing fragment acceleration is,for most systems,unlikely to be reduced significantly.

关键词：壳体破裂外壳炸弹气体逸出压力损失计算表加速过程压力释放

Three thousand years in Tibet

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National Science Review 2020年第1期7卷 129-130页

作者： Bettina Harr Trevor price Max-Planck-Institut für Evolutionsbiologie Department of Ecology and Evolution University of Chicago

Humans have come to inhabit nearly every terrestrial environment. Their commensals have followed them and have consequently become some of the most abundant and widespread species on Earth, in the process becoming exposed to a variety of abiotic and biotic stressors. For example, the house sparrow was introduced from the UK to North America in the

关键词： Three thousand years in Tibet

Implications of membrane fouling toward the removal of the pharmaceutical sulfamethoxazole by nanofiltration processes

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2011年第8期12卷 575-582页

作者： Alexander SIMON william price Long Duc NgHIEM School of Civil Mining and Environmental Engineering the University of Wollongong School of Chemistry the University of Wollongong

The influence of membrane fouling on the retention of the trace organic contaminant sulfamethoxazole by a nanofiltration(NF) process was *** fouling caused a severe flux decline possibly due to pore blocking and adsorption directly after the commencement of the fouling layer *** membrane-foulant interactions were absent for colloidal fouling,which resulted in a more gradual flux *** charge played a significant role in the separation process of inorganic salts,where the retention was the highest in a caustic environment(high pH) due to more swollen membrane material caused by the higher negative charge on the *** fouling and a combination of colloidal and organic fouling led to a significant increase in the membrane negative *** influence of membrane fouling on solute retention was dependent on the fouling behaviour and the physicochemical properties of the model foulants,where the model foulants probably contributed to an increase in the retention of charged solutes due to enhanced electrostatic *** fouling caused an increase in the retention of inorganic salts and sulfamethoxazole due to pore *** contrast,colloidal fouling caused a decrease in the retention of inorganic salts due to cake-enhanced concentration ***,the presence of a colloidal fouling layer did not reduce the retention of sulfamethoxazole.A mixture of colloidal and organic matter improved the retention of inorganic salts.A similar conclusion can be inferred for sulfamethoxazole at pH 4 when the compound exists in a neutral form.

关键词： Nanofiltration(NF) Organic fouling Colloidal fouling Combined fouling Trace organics water reuse

SOLITON SOLUTIONS OF A CLASS OF gENERALIZED NONLINEAR SCHRODINgER EQUATIONS

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Applied Mathematics:A Journal of Chinese Universities 1997年第4期 17-26页

作者： CAO QINgJIE, ZHANg TIANDE, AND K.DJIDJELI, g.w.price,E.H.TwIZELL

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关键词： CLASS