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Nonlinear energy harvesting with dual resonant zones based on rotating system 被引量:2
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作者 Dan WANG Zhifeng HAO +1 位作者 Fangqi CHEN Yushu CHEN 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2021年第2期275-290,共16页
An electromagnetic nonlinear energy harvester(NEH)based on a rotating system is proposed,of which the host system rotates at a constant speed and vibrates harmonically in the vertical direction.This kind of device exh... An electromagnetic nonlinear energy harvester(NEH)based on a rotating system is proposed,of which the host system rotates at a constant speed and vibrates harmonically in the vertical direction.This kind of device exhibits several resonant phenomena due to the combinations of the rotating and the vibration frequencies of the host system as well as the cubic nonlinearity of the NEH.The governing equation of motion for the NEH is derived,and the dynamic responses and output power are investigated with the multiple scale method under the 1:1 primary and 2:1 superharmonic resonant conditions.The effects of system parameters including the nondimensional external frequency,the rotating speed,and the nonlinear stiffness on the responses of free vibration for the system are studied.The results of the primary resonance show that the responses exhibit not only the resonant characteristics but also the nonlinear dynamic characteristics such as the saddle-node(SN)bifurcation.The coexistence of multiple solutions and the varying trends of responses are verified with the direct numerical simulation.Moreover,the effects of system parameters on the average output power are investigated.The results of the analyses on the two resonant conditions indicate that the large power can be harvested in two resonant frequency bands.The effect of resonance on the output power is dominant for the 2:1 superharmonic resonance.Moreover,the results also show that introducing the nonlinearity can increase the value of the output power in large frequency bands and induce the occurence of new frequency bands to harvest the large power.The efficiency of the harvested power could be improved by the combined effects of the resonance as well as the nonlinearity of the NEH device.Suitable parameter conditions could help optimize the power harvesting in design. 展开更多
关键词 nonlinear energy harvester(NEH) RESONANCE output power multiple scale method rotating system
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Unsteady hydromagnetic Couette flow through a porous medium in a rotating system
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作者 B.G.Prasad Rajnish Kumar 《Theoretical & Applied Mechanics Letters》 CAS 2011年第4期53-59,共7页
This paper investigates the unsteady hydromagnetic Couette fluid flow through a porous medium between two infinite horizontal plates induced by the non-torsional oscillations of one of the plates in a rotating system ... This paper investigates the unsteady hydromagnetic Couette fluid flow through a porous medium between two infinite horizontal plates induced by the non-torsional oscillations of one of the plates in a rotating system using boundary layer approximation.The fluid is assumed to be Newtonian and incompressible.Laplace transform technique is adopted to obtain a unified solution of the velocity fields.Such a flow model is of great interest,not only for its theoretical significance,but also for its wide applications to geophysics and engineering.Analytical expressions for the steady state velocity and shear stress on the plates are obtained,and the case of single oscillating plate is also discussed.The influence of pertinent parameters on the flow is delineated,and appropriate conclusions are drawn. 展开更多
关键词 Newtonian fluid HYDROMAGNETIC porous medium boundary layer non-torsional rotating system
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Unsteady Couette Flow through a Porous Medium in a Rotating System
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作者 Maitree Jana Sanatan Das Rabindra Nath Jana 《Open Journal of Fluid Dynamics》 2012年第4期149-158,共10页
An investigation has been made on an unsteady Couette flow of a viscous incompressible fluid through a porous me- dium in a rotating system. The solution of the governing equations has been obtained by the use of Lapl... An investigation has been made on an unsteady Couette flow of a viscous incompressible fluid through a porous me- dium in a rotating system. The solution of the governing equations has been obtained by the use of Laplace transform technique. It is found that the primary velocity decreases and the magnitude of the secondary velocity increases with an increase in rotation parameter. The fluid velocity components are decelerated by an increase of Reynolds number. An increase in porosity parameter leads to increase the primary velocity and the magnitude of the secondary velocity. It is also found that the solution for small time converges more rapidly than the general solution. The asymptotic behavior of the solution is analyzed for small as well as large values of rotation parameter and Reynolds number. It is observed that a thin boundary layer is formed near the moving plate of the channel and the thicknesses of the boundary layer increases with an increase in porosity parameter. 展开更多
关键词 COUETTE Flow ROTATION Parameter REYNOLDS Number Porous Medium rotating system and BOUNDARY Layer
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MHD Transient Flow with Hall Current Past an Accelerated Horizontal Porous Plate in a Rotating System
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作者 Nazibuddin Ahmed Jiwan Krishna Goswami Dhruba Prasad Barua 《Open Journal of Fluid Dynamics》 2013年第4期278-285,共8页
An exact solution to the problem of an MHD transient flow with Hall current past a uniformly accelerated horizontal porous plate in a rotating system has been presented. The dimensionless governing equations of the fl... An exact solution to the problem of an MHD transient flow with Hall current past a uniformly accelerated horizontal porous plate in a rotating system has been presented. The dimensionless governing equations of the flow problem are solved by Laplacetransform technique in closed form. A uniform magnetic field is assumed to be applied transversely to the direction of the flow. The expressions for velocity fields and skin-frictions are obtained in non-dimensional form. The primary and secondary velocity distributions and skin-frictions at the plate due to primary and secondary velocity field are demonstrated graphically and the effects of the different parameters namely, rotational parameter, Hartmann number, Hall parameter and acceleration parameter are discussed and the results are physically interpreted. 展开更多
关键词 MHD rotating system Transient HALL Current Mass Transfer SKIN-FRICTION
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Vibration Monitoring of Rotating Systems
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作者 K. N. EDE E. A. OGBONNAYA +2 位作者 M. T. LILLY S. O. T. OGAJI S. D. PROBERT 《Engineering(科研)》 2010年第1期46-54,共9页
Most energy-conversion machines (e.g. vehicle engines and electric motors) involve rotating components (e.g. roller bearings and gears), which generate vibrations. The behavior of a pump which includes a deliberate fa... Most energy-conversion machines (e.g. vehicle engines and electric motors) involve rotating components (e.g. roller bearings and gears), which generate vibrations. The behavior of a pump which includes a deliberate fault was chosen to illustrate this assertion. The test bearing at the driven end of the pump’s motor was deliberately damaged using a 1.5mm wire-cutting method and an adjustable coupling disk introduced to impose a shaft misalignment of 40. The resulting undesirable behavior of the pump was observed. Experimental data were measured at various speeds of the rotor. The sample period at various operating frequencies were 0.9, 0.6 and 0.45s respectively. The ball-passage frequency was observed at 4.4, 8.8, 13.2 and 17.6Hz. A computer-based analytical model was developed, in visual basic, for monitoring the machine failures: this led to an integrated system-process algorithm for diagnosis of faults in rotating components. 展开更多
关键词 VIBRATION Measurement rotating Component Ball-Passage Frequency ALARM LIMIT
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Comment on “Analyses of Mössbauer Experiments in a Rotating System: Proper and Improper Approaches” [Annals of Physics Volume 418, July 2020, 168191]
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作者 Jaykov Foukzon 《Journal of High Energy Physics, Gravitation and Cosmology》 2021年第2期416-444,共29页
The notion of classical well localized trajectories of a single photon in Minkowski spacetime does not make any rigorous sense by the well-known existence of a proof that single photons cannot be well localized. This ... The notion of classical well localized trajectories of a single photon in Minkowski spacetime does not make any rigorous sense by the well-known existence of a proof that single photons cannot be well localized. This leads to principal difficultness when photodetection probability on relativistic non inertial frame of reference is considered. In order to resolve this tension, we extend canonical Minkowski geometry up to relevant point-free Minkowski geometry [Ann. Physics 423 (2020) 168329]. The photodetection probability density on uniformly rotating frame endrowed with point-free Lorentzian geometry is obtained. The result of S. A. Podosenov <i>et al</i>. [Ann. Physics 413 (2020) 168047] is obtained without any reference to unphysical notion of the classical trajectories of photon. The paper again shows the correctness of the remarkable result of Prof. C. Corda concerning the Mössbauer rotor experiment as new proof of general relativity, which has been awarded by the Gravity Research Foundation. In addition, the paper also shows various very elementary mistakes, misunderstandings and flaws by the self-called “YARK group”, which is a group of fringe researchers who attempts to promote wrong science, in particular, against the relativity theory. 展开更多
关键词 Mössbauer Rotor Experiment Uniformly rotating Frame Photodetection Probability Density Minkowski Point-Free Geometry
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ROTATING FIBER OPTIC GYRO STRAP-DOWN INERTIAL NAVIGATION SYSTEM WITH THREE ROTATING AXES 被引量:14
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作者 张玲 刘建业 赖际舟 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2008年第4期289-294,共6页
The principle of the inertial navigation system(INS) with rotating inertial measurement unit (IMU) is analyzed. A new IMU is established to rotate round each axis in three directions. Then, the related error model... The principle of the inertial navigation system(INS) with rotating inertial measurement unit (IMU) is analyzed. A new IMU is established to rotate round each axis in three directions. Then, the related error models for the designed system during rotating are deduced and the improved system is built. Finally, the performance simulation of the proposed system is provided. The simulation result indicates that the designed system can improve the accuracy of the roll and the pitch as well as heading by rotating three axes, thus guaranting the heading accuracy. Moreover, based on the principle of rotation at six different positions, such structure can carry out real-time calibration, and improve the system performance. 展开更多
关键词 inertial navigation systems ROTATION DESIGN error analysis
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ANALYSIS OF UN-COINCIDE COORDINATE ERROR IN SINGLE-AXIS ROTATING FIBER OPTIC STRAP-DOWN INERTIAL NAVIGATION SYSTEM 被引量:3
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作者 张玲 赖际舟 +1 位作者 刘建业 吕品 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2011年第2期199-205,共7页
The un-coincide coordinate error in the single-axis rotating fiber optic strap-down inertial navigation system(SINS) is analyzed. Firstly, a rotating modulation technology is presented for SINS. The method provides ... The un-coincide coordinate error in the single-axis rotating fiber optic strap-down inertial navigation system(SINS) is analyzed. Firstly, a rotating modulation technology is presented for SINS. The method provides the enhanced property of SINS when using the same-leveled inertial measurement units. Then, the rotating struc- ture modification is derived and augmented to resolve the un-modulated error-accumulated problem. As the insuf- ficient machine processing, the horizontal and the vertical errors on the machine surface are inevitable, and the in- volved coordinates are difficult to get the exact coincident. So, two major kinds of coordinate situation are stud- ied. The equivalent error models on gyro and acceleration outputs are built for each situation, and the impact is analyzed for compensation. The part of attitude and position error models caused by the built angle-rate error is established to calculate the un-eoincident impact. Considering these conditions of different gyro accuracy and mo- tion states simultaneously, numerical simulations are implemented. Results indicate that the SINS modulation ac- curacy is seriously affected by the combined factors on gyro accuracy and motion conditions. 展开更多
关键词 rotational molding modulation machine processing surface horizontal and vertical error un-coinci-dent impact
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VOLUMETRIC-SWEPT DISPLAY SYSTEM BASED ON HELIX ROTATING SCREEN AND DMD
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作者 岳键 赵晓庚 +2 位作者 邢建芳 潘文平 沈春林 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2011年第4期367-371,共5页
Based on the helix rotating screen and the digital micro-mirror device (DMD), the former proto of volumetric-swept display system is improved. The 3-D display system adopting a helix rotating screen to construct an ... Based on the helix rotating screen and the digital micro-mirror device (DMD), the former proto of volumetric-swept display system is improved. The 3-D display system adopting a helix rotating screen to construct an imaging space meliorate the defects, such as the smaller image space, the fewer voxels and the severer voxel overlap dead zone caused by planar rotating screen. DMD with spatial light modular (SLM) technology increases the transmission bandwidth of 3-D data in the voxel activation subsystem and activate multi-voxel once time. The volumetric-swept system based on helix rotating screen and DMD is developed. The experimental results show that the image space, the vision dead zone, the voxels on slice, and the voxel activation capacity of the designed proto are superior to the plane rotating screen system. 展开更多
关键词 true 3-D display volumetric 3-D display volumetric-swept display helix rotating screen digital micro-mirror device (DMD)
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Analysis of Error for a Rotating Strap-down Inertial Navigation System with Fibro Gyro 被引量:6
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作者 奔粤阳 柴永利 +1 位作者 高伟 孙枫 《Journal of Marine Science and Application》 2010年第4期419-424,共6页
The error equation of a rotating inertial navigation system was introduced. The effect of the system's main error source (constant drift of gyro and zero bias of accelerometer) under rotating conditions for the sy... The error equation of a rotating inertial navigation system was introduced. The effect of the system's main error source (constant drift of gyro and zero bias of accelerometer) under rotating conditions for the system was analyzed. Validity of theoretical analysis was shown via simulation, and that provides a theoretical foundation for a rotating strap-down inertial navigation system during actual experimentation and application. 展开更多
关键词 fibro gyro rotating strap-down inertial navigation error analysis
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Nonlinear dynamics of a classical rotating pendulum system with multiple excitations 被引量:1
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作者 Ning Han Pei-Pei Lu 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第11期230-243,共14页
We report an attempt to reveal the nonlinear dynamic behavior of a classical rotating pendulum system subjected to combined excitations of constant force and periodic excitation.The unperturbed system characterized by... We report an attempt to reveal the nonlinear dynamic behavior of a classical rotating pendulum system subjected to combined excitations of constant force and periodic excitation.The unperturbed system characterized by strong irrational nonlinearity bears significant similarities to the coupling of a simple pendulum and a smooth and discontinuous(SD)oscillator,especially the phase trajectory with coexistence of Duffing-type and pendulum-type homoclinic orbits.In order to learn the effect of constant force on this pendulum system,all types of phase portraits are displayed by means of the Hamiltonian function with large constant excitation especially the transitions of complex singular closed orbits.Under sufficiently small perturbations of the viscous damping and constant excitation,the Melnikov method is used to analyze the global structure of the phase space and the feature of trajectories.It is shown,both theoretically and numerically,that this system undergoes a homoclinic bifurcation and then bifurcates a unique attracting rotating limit cycle.Finally,the estimation of the chaotic threshold of the rotating pendulum system with multiple excitations is calculated and the predicted periodic and chaotic motions can be shown by applying numerical simulations. 展开更多
关键词 rotating pendulum Melnikov method rotating limit cycle chaotic dynamics
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Space-time Resolved Spectroscopic System Based on a Rotating Hexahedral Mirror for Measurement of Visible and Ultraviolet Spectral Line Emissions 被引量:1
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作者 吴振伟 万宝年 +1 位作者 周倩 黄娟 《Plasma Science and Technology》 SCIE EI CAS CSCD 2005年第4期2915-2918,共4页
By using a rotating hexahedral mirror placed in front of the objective lens and two sets of visible and ultraviolet monochromators coupled with a branchy quartz fiber bundle, a space-time resolved spectroscopic system... By using a rotating hexahedral mirror placed in front of the objective lens and two sets of visible and ultraviolet monochromators coupled with a branchy quartz fiber bundle, a space-time resolved spectroscopic system has been developed on the HT-7 superconducting tokamak. A center monitoring system has been used including a Helium-Neon laser and a photodiode detector to indicate the absolute position of the measurement in order to reduce the error caused by the uncertain emissive position of the plasma. By using the asymmetric Abel inversion, the space-time resolved local emission coefficients of the spectroscopic line emissions have been obtained. Presented in this article are simultaneous measurements of two spectral line emissions such as CV-227.1 nm and OV-278.1 nm during a single plasma discharge on the HT-7. Experimental results indicate that the time resolution is better than 3 ms, the space resolution is better than 1.5cm, the ratio of signal to background is better than 10:1, and the relative error of chord-integrated emission profile is less than 10%. Compared to traditional multichannel detecting systems, this system has considerably improved measurement efficiency, reduced uncertainty, and is therefore suitable for transport studies of global particles and impurities. 展开更多
关键词 space-time resolved rotating mirror SPECTROSCOPIC IMPURITY TOKAMAK
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Proca equation and vector field quantization in a rotating system 被引量:1
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作者 Tian Xu Yin Jiang 《Chinese Physics C》 SCIE CAS CSCD 2021年第11期115-121,共7页
A strong background field drastically changes the vacuum structure and proper basis of a system in both classical and quantum mechanics,e.g.,the Landau levels in a background magnetic field.This is true even for a rot... A strong background field drastically changes the vacuum structure and proper basis of a system in both classical and quantum mechanics,e.g.,the Landau levels in a background magnetic field.This is true even for a rotating system.In such a system,the usual set of plane-wave states would no longer be suitable as a starting point of perturbation.Alternatively and straightforwardly,in a rapidly and globally rotating system,it is better to reformulate the perturbation computation in principle.In this study,we completed the first step for the spin-1 field,which includes solving the Proca equation in the presence of a background rotation and completing its canonical quantization.We show that because of the symmetry,the eigen states are actually the same as those of Maxwell equations in cylindrical coordinates.The propagator as well as the near-central approximation were obtained by assuming that the vorticity areas are very small in the relativistic QGP. 展开更多
关键词 vector field quantization in rotating frame Proca equation
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Production and Financial Analyses of the Rotating Living Wall, an Urban Agricultural System 被引量:1
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作者 Jonathan Gumble Robert Berghage Dan Stearns 《Journal of Environmental Protection》 2015年第9期1029-1041,共13页
Experiments were performed from June 2014 to May 2015 at Penn State University’s greenhouse facilities in order to understand the production capacities and financial viability of an innovative growing system referred... Experiments were performed from June 2014 to May 2015 at Penn State University’s greenhouse facilities in order to understand the production capacities and financial viability of an innovative growing system referred to as the Rotating Living Wall produced by GreenTowers, a student innovation/entrepreneurship team. The system is a six-foot vertical conveyor that rotates troughs of microgreen plants to achieve even distribution of sunlight as well as relatively low maintenance within a minimal square foot area. Experiments were performed to understand differences in seasonal yields, differences in yields based on variety of microgreen, yield comparison to a traditionally grown microgreen control group;both on a yields per/trough method as well as a yields per/ft.2 method, rotational timing, moving versus stationary growth, differences in growth based on media depth, and differences in production yields from supplemental lighting. Performance criteria were based on measuring fresh weight, dry weight, height, and SPAD-meter readings (soil plant analysis development). Differences in yields throughout seasons were significant as well as differences between the Rotating Living Wall systems compared to a control group of traditional static greenhouse benches. The use of LED supplemental lighting provided significant differences in yields throughout winter season growing. Rotational timing, media depth, and physical movement of plants showed minimal or no significant influence on yields. By establishing the potential revenues and costs that were part of growing with the Rotating Living Wall system, financial viability was analyzed showing that these systems could be profitable when utilized in State College, PA, within certain operating parameters. The research completed throughout these studies has not only provided a baseline of operation for the systems but has also shown potential for the development of urban agricultural systems capable of aiding in the elimination of “food deserts” or urban neighborhoods and rural towns with limited food access. 展开更多
关键词 URBAN AGRICULTURAL systems rotating LIVING Wall FOOD Deserts Microgreens
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On-line Condition Monitoring and Diagnostic Network System for Rotating Machine Set 被引量:1
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作者 Li Fucai, He Zhengjia, Zi Yanyang School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, P. R. China 《International Journal of Plant Engineering and Management》 2000年第4期136-141,共6页
Several industrial computers and a server are combined to set up the on-line monitoring and diagnostic system of turbo-generator sets. The main function of the system is to monitor machine sets' running condition.... Several industrial computers and a server are combined to set up the on-line monitoring and diagnostic system of turbo-generator sets. The main function of the system is to monitor machine sets' running condition. Through analyzing running data, technicians can detect whether there exist faults and where they occur. To share and transmit the dynamic information of the turbo-generator sets, a distributed network system is introduced. NetWare network operating system is used in the LAN (Local Area Network) system. The LAN is extended to realize the sharing of data and remote transmission of information. Furthermore, functions of monitoring and diagnostic clients are listed. 展开更多
关键词 rotating machine set on-line monitoring and diagnostic network system
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Stability analysis of the rotating tribological pair system on circular-disc end faces
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作者 Chen Long Zhang Jianrun 《Journal of Southeast University(English Edition)》 EI CAS 2020年第1期24-31,共8页
In order to study the stability of friction and contact of the rotating tribological pair system,considering the influence of the changeable factors on the stability,the system dynamics analysis model based on the Lag... In order to study the stability of friction and contact of the rotating tribological pair system,considering the influence of the changeable factors on the stability,the system dynamics analysis model based on the Lagrange equation is firstly established.The surface contact stiffness model is determined on the basis of the fractal theory.The model of the friction torque with velocities is created by using the Stribeck friction effect.The Lyapunov indirect method is employed to explore the eigenvalue problem of the system state equation.The effects of the applied load,the fractal dimension,the fractal scaling coefficient and the Stribeck coefficient on the system stability are investigated in detail.The numerical simulation results demonstrate that the tribological pair system is prone to causing system instability at low speed,and the system instability boundary value decreases when the Stribeck coefficient decreases.The fractal dimension and the fractal scaling coefficient impact the system stability slightly when fractal dimensions are large,and the system instability can be reduced by properly increasing the surface smoothness.Moreover,the system instability evidently increases with the increase in the applied load and the Stribeck coefficient.These achievements can provide a reference and theoretical support for the analysis of the dynamic performance of the tribological pair system. 展开更多
关键词 rotating tribological pair system contact stiffness Stribeck effect dynamic model stability
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Petroleum waste biodegradation with porous biomass support system (PBSS) on rotating biological contactor
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作者 Tran T.Francis Chowdhury A.K.M.M 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 1991年第1期11-28,共18页
A laboratory scale study was conducted to assess the feasibility of the new coupling of rotating biological contactor (RBC) plus porous biomass support system (PBSS) using polyurethane foam as porous support media to ... A laboratory scale study was conducted to assess the feasibility of the new coupling of rotating biological contactor (RBC) plus porous biomass support system (PBSS) using polyurethane foam as porous support media to biodegrade petroleum refinery wastewater. Polyurethane foam was attached on disks of two four-stage laboratory scale cascade connected RBC units.The two RBC units were operated simultaneously at different but constant, flowrates giving hydraulic loading rates of 0.01, 0.02, 0.03, 0.04 m3/m2/d in two runs keeping the same rotational speed 10 r/min throughout. Organic loading was a less controllable factor in this study.For all of the hydraulic loadings, it was found that the removal efficiency of total chemical oxygen demand (TCOD) and oil were above 80 percent. Ammonia nitrogen and phenol removal were above 90 and 80 percent respectively. The maximum biomass concentration within polyurethane foam was about 30 g/m2 in the first stage for 0.03 m3/m2/d hydraulic loading.The results show that this new technology can be applied effectively for practical purposes with moderate hydraulic loading rates. 展开更多
关键词 petroleum waste BIODEGRADATION rotating biological contactor.
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A HAMILTONIAN SYSTEM WITH ANTI-ROTATING INTERACTION
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作者 HU Gang 《Chinese Physics Letters》 SCIE CAS 1985年第4期185-188,共4页
The initial value problem of a quantum oscillator coupled to a field is studied.The propagator has been obtained explicitly without the wave rotating approximation.The effects caused by the term,non-conserving of the ... The initial value problem of a quantum oscillator coupled to a field is studied.The propagator has been obtained explicitly without the wave rotating approximation.The effects caused by the term,non-conserving of the number of particles,are analysed using a simple model. 展开更多
关键词 approximation. model. rotating
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Formalism of rotating-wave approximation in high-spin system with quadrupole interaction
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作者 丁文魁 王晓光 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第3期72-78,共7页
We investigate the rotating wave approximation applied in the high-spin quantum system driven by a linearly polarized alternating magnetic field in the presence of quadrupole interactions.The conventional way to apply... We investigate the rotating wave approximation applied in the high-spin quantum system driven by a linearly polarized alternating magnetic field in the presence of quadrupole interactions.The conventional way to apply the rotating wave approximation in a driven high-spin system is to assume the dynamics being restricted in the reduced Hilbert space.However,when the driving strength is relatively strong or the driving is off resonant,the leakage from the target resonance subspace cannot be neglected for a multi-level quantum system.We propose the correct formalism to apply the rotating wave approximation in the full Hilbert space by taking this leakage into account.By estimating the operator fidelity of the time propagator,our formalism applied in the full Hilbert space unambiguously manifests great advantages over the conventional method applied in the reduced Hilbert space. 展开更多
关键词 rotating wave approximation quadrupole interaction high-spin system
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Generalized geometry theory on constrained rotating relativistic Birkhoffian systems
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作者 郑世旺 傅景礼 +2 位作者 施沈阳 陈立群 陈向伟 《Journal of Shanghai University(English Edition)》 CAS 2007年第2期115-120,共6页
This paper focuses on studying the generalized geometry theory of constrained rotating relativistic Birkhoffian systems. Based on the fact that relativistic rotating inertia is embedded in the Birkhoffian systems, the... This paper focuses on studying the generalized geometry theory of constrained rotating relativistic Birkhoffian systems. Based on the fact that relativistic rotating inertia is embedded in the Birkhoffian systems, the Pfaff action of rotating relativistic Birkhoffian systems was defined. The Pfaff-Birkhoff principles and Birkhoff's equations of the constrained rotating relativistic systems were obtained. The geometrical description, the exact properties and their forms on R T^*M for the constrained rotating relativistic Birkhoffian systems are given. The global analyses of the autonomous, semi-autonomous and non-autonomous constrained relativistic Birkhoff's equations as well as the geometrical properties of energy change for the constrained rotating relativistic Birkhoffian systems were also conducted. 展开更多
关键词 RELATIVITY constrained rotating Birkhoff's equation geometrical description global analysis
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