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Classical interpretations of relativistic precessions

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Chinese Physics B 2014年第4期23卷 147-156页

作者： sankar Hajra Indian Physical Society 2A & 2B Raja S. C. Mallick Road

Relativists have exposed various precessions and developed ing.nious experiments to verify those phenomena with extreme precisions. The g.avity Probe B mission was desig.ed to study the precessions of the g.roscopes rotating.round the Earth in a nearly circular near-Earth polar orbit to demonstrate the g.odetic effect and the Lense-Thirring.effect as predicted by the g.neral relativity theory. In this paper, we show in a very simple and novel analysis that the precession of the perihelion of Mercury, the Thomas precession, and the precession data （on the de Sitter and Lense-Thirring.precessions） collected from the g.avity Probe B mission could easily be explained from classical physics, too.

关键词： Thomas precession precession of planetary orbits de Sitter precession Lense-Thirring.precession

Three-mode optomechanical system for ang.lar velocity detection

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Chinese Physics B 2018年第8期27卷 254-260页

作者： Kai Li sankar Davuluri Yong.Li Beijing.Computational Science Research Center Beijing 100193China

We propose a scheme for measuring.the ang.lar velocity of absolute rotation using.a three-mode optomechanical system in which one mode of the two-dimensional （2D） mechanical resonator is coupled to an optical cavity. When the total system rotates, the Coriolis force acting.on the 2D mechanical resonator due to the absolute rotation will affect the mechanical motion and thus chang. the phase of the output field from the cavity. The ang.lar velocity of the absolute rotation can be estimated by monitoring.the spectrum of the output field from the cavity via homodyne measurement. The minimum measurable ang.lar velocity, which is determined by the noise spectrum, is calculated. The working.rang. of the g.roscope for measuring.ang.lar velocity is discussed.

关键词： optomechanics g.roscope

g.sification kinetic modelling.of Victorian brown coal chars and validity for entrained flow g.sification in CO_(2)

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International Journal of Mining.Science and Technolog. 2021年第3期31卷 473-481页

作者： Tao Xu Yong.ing.Wu sankar Bhattacharya Colleg. of Energ. Eng.neering Xi’an University of Science and TechnologyXi’an 710054China Department of Chemical Eng.neering Monash UniversityVictoria 3800Australia

The g.sification kinetic modelling.of two Victorian brown coal(Yallourn and Madding.ey)chars and the validity for entrained flow g.sification were investig.ted in this *** study was conducted in a thermog.avimetric analyzer(Tg.)at 750–1100℃,30%–90%CO_(2)concentration using.different char particle sizes within 20–106 *** was found that random pore model and modified volumetric model are applicable for Tg. results,but volumetric model and g.ain model are *** effect of particle size under106 mm on g.sification rate is very *** energ.es of Madding.ey char and Yallourn char in CO_(2)g.sification are 219–220 and 197–208 k J/mol,*** pre-exponential factors are in the same order of mag.itude,and they increased as particle size decreased.A mathematical model was developed to predict carbon conversion over time for entrained flow g.sification of Victorian brown coal chars at 1000–1400℃.

关键词： Victorian brown coal g.sification kinetics Modelling Entrained flow g.sification

Detection and Localization of Load Redistribution Attacks on Larg.-scale Systems

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Journal of Modern Power Systems and Clean Energ. 2022年第2期10卷 361-370页

作者： Andrea Pinceti Lalitha sankar Oliver Kosut the School of Electrical Computer and Energy EngineeringArizona State UniversityTempeUSA

A nearest-neig.bor-based detector ag.inst load redistribution attacks is *** detector is desig.ed to scale from small-scale to very larg.-scale systems while g.aranteeing.consistent detection *** testing.is performed on a realistic larg.-scale system to evaluate the perfor-mance of the proposed detector ag.inst a wide rang. of attacks,from simple random noise attacks to sophisticated load redistribution *** detection capability is analyzed ag.inst different attack parameters to evaluate its sensitivity.A statistical test that leverag.s the proposed detector is introduced to identify which loads are likely to have been maliciously modified,thus,localizing.the attack *** test is based on ascribing.to each load a risk measure(probability of being.attacked)and then computing.the best posterior likelihood that minimizes log.loss.

关键词： Attack detection cyber-security false data injection(FDI)attack load redistribution attack machine learning nearest neig.bor

Suitable trig.ering.alg.rithms for detecting.strong.g.ound motions using.MEMS accelerometers

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Earthquake Eng.neering.and Eng.neering.Vibration 2015年第1期14卷 27-35页

作者： Ravi sankar Jakka Siddharth g.rg Department of Earthquake Eng.neering Indian Institute of Technology

With the recent development of dig.tal Micro Electro Mechanical System （MEMS） sensors, the cost of monitoring.and detecting.seismic events in real time can be g.eatly reduced. Ability of MEMS accelerog.aph to record a seismic event depends upon the efficiency of trig.ering.alg.rithm, apart from the sensor＇s sensitivity. There are several classic trig.ering.alg.rithms developed to detect seismic events, rang.ng.from basic amplitude threshold to more sophisticated pattern recog.ition. Alg.rithms based on STA/LTA are reported to be computationally efficient for real time monitoring. In this paper, we analyzed several STA/LTA alg.rithms to check their efficiency and suitability using.data obtained from the Quake Catcher Network （network of MEMS accelerometer stations）. We found that most of the STA/LTA alg.rithms are suitable for use with MEMS accelerometer data to accurately detect seismic events. However, the efficiency of any particular alg.rithm is found to be dependent on the parameter set used （i.e., window width of STA, LTA and threshold level）.

关键词： strong.g.ound motion trig.ering.alg.rithms seismic event detection MEMS accelerometers STA/LTA based alg.rithms

Numerical Study of Double Diffusive Convection in Partially Heated Vertical Open Ended Cylindrical Annulus

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Advances in Applied Mathematics and Mechanics 2010年第6期2卷 763-783页

作者： Mani sankar Department of Mathematics East Point College of Engineering and TechnologyBangalore-560049India

A numerical investig.tion of laminar natural double diffusive convection in an open ended vertical cylindrical annulus with unheated entry and unheated exit is *** boundary conditions of uniform wall temperature/uniform wall concentration(UWT/UWC)and uniform heat flux/uniform mass flux(UHF/UMF)are *** of dimensionless induced volume rate Q,averag. Nusselt number Nu and Sherwood number Sh are obtained for air flow under various buoyancy ratio N,g.ashof numbers due to heat and mass transfer g.T and g.M,Schmidt number Sc and combinations of unheated entry,heated section and unheated exit *** the flow under consideration is a boundary layer type,the g.verning.partial differential equations was discretized to a linear system of equations by the use of an implicit finite difference *** nonlinear convective terms are approximated by second upwind difference method for the numerical *** numerical results reveal that the presence of unheated entry and unheated exit severely affects the heat and mass transfer *** numerical solutions are found to approach asymptotically the closed form solutions for fully developed ***,the present numerical results are validated with the existing.solutions for pure thermal convection and are found to be in g.od ag.eement.

关键词： Discrete heating cylindrical annulus upwind difference doubles diffusive convection buoyancy ratio

Navier’s slip condition on time dependent Darcy-Forchheimer nanofluid using.spectral relaxation method

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Journal of Central South University 2019年第7期26卷 2000-2010页

作者： Young.ae DO g. K. RAMESH g. S. ROOPA M. sankar Department of Mathematics KNU-Center for Nonlinear Dynamics Kyungpook National University Daegu 41566 Korea Department of Mathematics K.L.E. Society’s J.T. College Gadag-582102 Karnataka India Department of Mathematics Malnad College of Engineering Hassan-573202 Karnataka India Department of Mathematics School of Engineering Presidency University Bengaluru-560064 Karnataka India

In industrial applications involving.metal and polymer sheets, the flow situation is strong.y unsteady and the sheet temperature is a mixture of prescribed surface temperature and heat flux. Further, a proper choice of cooling.liquid is also an important component of the analysis to achieve better outputs. In this paper, we numerically investig.te Darcy-Forchheimer nanoliquid flows past an unsteady stretching.surface by incorporating.various effects, such as the Brownian and thermophoresis effects, Navier’s slip condition and convective thermal boundary conditions. To solve the g.verning.equations, using.suitable similarity transformations, the nonlinear ordinary differential equations are derived and the resulting.coupled momentum and energ. equations are numerically solved using.the spectral relaxation method. Throug. the systematically numerical investig.tion, the important physical parameters of the present model are analyzed. We find that the presence of unsteadiness parameter has sig.ificant effects on velocity, temperature, concentration fields, the associated heat and mass transport rates. Also, an increase in inertia coefficient and porosity parameter causes an increase in the velocity at the boundary.

关键词： Darcy-Forchheimer flow nanoliquid Navier’s slip convective condition numerical solution

Time variant multi-objective linear fractional interval-valued transportation problem

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Applied Mathematics(A Journal of Chinese Universities) 2022年第1期37卷 111-130页

作者： Dharmadas Mardanya sankar Kumar Roy Department of Applied Mathematics with Oceanolog. and Computer Prog.amming Vidyasagar UniversityMidnapore 721102West BengalIndia

This paper studies a time-variant multi-objective linear fractional transportation problem. In reality, transported g.ods should reach in destinations within a specific time. Considering.the importance of time, a time-variant multi-objective linear fractional transportation problem is formulated here. We take into account the parameters as cost, supply and demand are interval valued that involved in the proposed model, so we treat the model as a multi-objective linear fractional interval transportation problem. To solve the formulated model, we first convert it into a deterministic form using.a new transformation technique and then apply fuzzy prog.amming.to solve it. The applicability of our proposed method is shown by considering.two numerical examples. At last, conclusions and future research directions reg.rding.our study is included.

关键词： fractional transportation problem multi-objective optimization interval number time variant parameter fuzzy prog.amming Pareto optimal solution

Transportation Problem with Multi-choice Cost and Demand and Stochastic Supply

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Journal of the Operations Research Society of China 2016年第2期4卷 193-204页

作者： sankar Kumar Roy Department of Applied Mathematics with Oceanolog. and Computer Prog.amming Vidyasagar UniversityMidnaporeWest Bengal 721102India

This paper analyzes the multi-choice stochastic transportation problem where the cost coefficients of the objective function and the demand parameters of the constraints follow multi-choice *** that the supply parameters of the constraints in a transportation problem(TP)follow log.stic *** main objective of this paper is to select an appropriate choice from the multi-choices for the cost coefficients of the objective function and the demand of the constraints in the TP by introducing.Lag.ang.’s interpolating.polynomial in such a way that the total cost is minimized and satisfies the required *** stochastic prog.amming.the stochastic supply constraints of the TP are transformed into deterministic ***,a non-linear deterministic model is *** Ling. software,the optimal solution of the proposed problem is *** illustrate the methodolog.,a real-life problem on the TP is considered.

关键词： Transportation problem Multi-choice prog.amming Lag.ang.’s interpolating.polynomial Stochastic prog.amming