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Fundamental time scales of bubble fragmentation in homogeneous isotropic turbulence
Published 2024“…We investigate the fundamental time scales that characterise the statistics of fragmentation under homogeneous isotropic turbulence for air–water bubbly flows at moderate to large bubble Weber numbers, 𝑊𝑒 . …”
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Multi-time scale rolling optimal dispatch for microgrids with high renewable penetration
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Final Year Project (FYP) -
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The Mnemosyne number and the rheology of remembrance
Published 2024“…The relevant dimensionless measure of this duration can be represented in terms of a mutation number, which compares the time scale of experiment/observation to the thixotropic time scale. …”
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Measuring membrane capacitance during a depolarizing stimulus
Published 2010“…It involves the transition of secretory vesicles through distinct molecular states in a time scale of seconds and final rapid Ca dependent vesicle fusion in a time scale of milliseconds. …”
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Research Report -
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Distributed robust hierarchical power sharing control of grid-connected spatially concentrated AC microgrid
Published 2020“…The primary control operates in a fast time scale, where local robust controller is designed to achieve local reference power output tracking in the presence of uncertain system parameters. …”
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Journal Article -
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A detailed full-order discrete-time modeling and stability prediction of the single-phase dual active bridge DC-DC converter
Published 2023“…The time-scale segregates the dynamics of the PSBDAB converter into fast and slow state variables, which can be modeled separately and eases the analysis of the PSBDAB converter. …”
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Journal Article -
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Network resource management to transport pre-stored video across broadband networks
Published 2008“…MPEG variable bit rate (VBR) encoded video is known to exhibit long-range dependent behavior and significant multiple-time-scale rate variability but with consistent image quality. …”
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Thesis -
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Master curves for FENE-P fluids in steady shear flow
Published 2024“…The model contains three independent material parameters, which expressed in dimensionless form correspond to a Weissenberg number (Wi), i.e., the ratio of the dumbbell relaxation time scale to a characteristic flow time scale, a finite extensibility parameter (L), corresponding to the ratio of the fully extended dumbbell length to the root mean square end-to-end separation of the polymer chain under equilibrium conditions, and a solvent viscosity ratio, commonly denoted β. …”
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Convergence and stability results for the particle system in the Stein gradient descent method
Published 2024“…We prove that this happens in algebraic time scales t = O( √ N) which is significantly better. …”
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Theoretical investigations and simulations of femtosecond stimulated Raman spectroscopy and coherent anti-stokes Raman spectroscopy
Published 2013“…Femtosecond stimulated Raman spectroscopy (FSRS) and coherent anti-Stokes Raman spectroscopy (CARS) as the novel techniques are widely employed to study the molecular structure and chemical reaction dynamics of physical and biological processes that occur on the ultrafast femtosecond time scale. Especially, FSRS possesses many advantages: simultaneous high temporal and spectral resolutions, free of fluorescence background, high signal-to-noise ratio, wide vibrational spectrum range and rapid data acquisition. …”
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Thesis -
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Input-to-state stability and sliding mode control of the nonlinear singularly perturbed systems via trajectory-based small-gain theorem
Published 2022“…Firstly, a novel idea is proposed to analyze the stability of the nonlinear singularly perturbed system, which is regarded as an interconnected system by using two-time-scale decomposition. Secondly, the trajectory-based approach is applied to establish ISS and IOS small-gain theorem for singularly perturbed systems and the FTISS and FTIOS properties are proposed. …”
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Analysis of online learning algorithms in machine learning
Published 2024“…The convergence and convergence rate to the optimal strategies are given by using a two time-scale analysis which asymptotically decouples the critic ODE from the actor ODE. …”
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Model reduction and stochastic analysis of the histone modification circuit
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Induced-charge electro-osmosis
Published 2005“…ICEO slip velocities vary as u_s â E_0^2 L, where E_0 is the field strength and L is a geometric length scale, and are set up on a time scale τc =λDL/D, where λD is the screening length and D is the ionic diffusion constant. …”
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Birth and growth of cavitation bubbles within water under tension confined in a simple synthetic tree
Published 2013“…Results show that a stable bubble is created in only a microsecond time scale, after transient oscillations. Then, a diffusion driven expansion leads to filling of the cavity. …”
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Journal Article -
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Single-Shot Quantitative Polarization Imaging of Complex Birefringent Structure Dynamics
Published 2024“…While a number of polarization microscopy techniques are available to access steady-state properties of birefringent samples, quantitative measurements of the molecular orientation dynamics on the millisecond time scale have remained a challenge. We propose polarized shearing interference microscopy (PSIM), a single-shot quantitative polarization imaging method, for extracting the retardance and orientation angle of the laser beam transmitting through optically anisotropic specimens with complex structures. …”
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Design and Development of an Accelerated Material Synthesis Platform for Automated Materials Research
Published 2024“…Most often, new materials are developed and characterized on the time scale of years which can limit the pace of scientific and industry innovation. …”
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Thesis