The Experts below are selected from a list of 43275 Experts worldwide ranked by ideXlab platform
Robert A Van Gorder - One of the best experts on this subject based on the ideXlab platform.
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chaos in a non autonomous nonlinear system describing asymmetric water wheels
Nonlinear Dynamics, 2018Co-Authors: Ashish Bhatt, Robert A Van GorderAbstract:We derive a water wheel model from first principles under the assumption of an asymmetric water wheel for which the water inFlow Rate is in general unSteady (modeled by an arbitrary function of time). Our model allows one to recover the asymmetric water wheel with Steady Flow Rate, as well as the symmetric water wheel, as special cases. Under physically reasonable assumptions, we then reduce the underlying model into a non-autonomous nonlinear system. In order to determine parameter regimes giving chaotic dynamics in this non-autonomous nonlinear system, we consider an application of competitive modes analysis. In order to apply this method to a non-autonomous system, we are required to generalize the competitive modes analysis so that it is applicable to non-autonomous systems. The non-autonomous nonlinear water wheel model is shown to satisfy competitive modes conditions for chaos in certain parameter regimes, and we employ the obtained parameter regimes to construct the chaotic attractors. As anticipated, the asymmetric unSteady water wheel exhibits more disorder than does the asymmetric Steady water wheel, which in turn is less regular than the symmetric Steady state water wheel. Our results suggest that chaos should be fairly ubiquitous in the asymmetric water wheel model with unSteady inFlow of water.
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chaos in a non autonomous nonlinear system describing asymmetric water wheels
arXiv: Dynamical Systems, 2017Co-Authors: Ashish Bhatt, Robert A Van GorderAbstract:We use physical principles to derive a water wheel model under the assumption of an asymmetric water wheel for which the water inFlow Rate is in general unSteady (modeled by an arbitrary function of time). Our model allows one to recover the asymmetric water wheel with Steady Flow Rate, as well as the symmetric water wheel, as special cases. Under physically reasonable assumptions we then reduce the underlying model into a non-autonomous nonlinear system. In order to determine parameter regimes giving chaotic dynamics in this non-autonomous nonlinear system, we consider an application of competitive modes analysis. In order to apply this method to a non-autonomous system, we are required to generalize the competitive modes analysis so that it is applicable to non-autonomous systems. The non-autonomous nonlinear water wheel model is shown to satisfy competitive modes conditions for chaos in certain parameter regimes, and we employ the obtained parameter regimes to construct the chaotic attractors. As anticipated, the asymmetric unSteady water wheel exhibits more disorder than does the asymmetric Steady water wheel, which in turn is less regular than the symmetric Steady state water wheel. Our results suggest that chaos should be fairly ubiquitous in the asymmetric water wheel model with unSteady inFlow of water.
Ashish Bhatt - One of the best experts on this subject based on the ideXlab platform.
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chaos in a non autonomous nonlinear system describing asymmetric water wheels
Nonlinear Dynamics, 2018Co-Authors: Ashish Bhatt, Robert A Van GorderAbstract:We derive a water wheel model from first principles under the assumption of an asymmetric water wheel for which the water inFlow Rate is in general unSteady (modeled by an arbitrary function of time). Our model allows one to recover the asymmetric water wheel with Steady Flow Rate, as well as the symmetric water wheel, as special cases. Under physically reasonable assumptions, we then reduce the underlying model into a non-autonomous nonlinear system. In order to determine parameter regimes giving chaotic dynamics in this non-autonomous nonlinear system, we consider an application of competitive modes analysis. In order to apply this method to a non-autonomous system, we are required to generalize the competitive modes analysis so that it is applicable to non-autonomous systems. The non-autonomous nonlinear water wheel model is shown to satisfy competitive modes conditions for chaos in certain parameter regimes, and we employ the obtained parameter regimes to construct the chaotic attractors. As anticipated, the asymmetric unSteady water wheel exhibits more disorder than does the asymmetric Steady water wheel, which in turn is less regular than the symmetric Steady state water wheel. Our results suggest that chaos should be fairly ubiquitous in the asymmetric water wheel model with unSteady inFlow of water.
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chaos in a non autonomous nonlinear system describing asymmetric water wheels
arXiv: Dynamical Systems, 2017Co-Authors: Ashish Bhatt, Robert A Van GorderAbstract:We use physical principles to derive a water wheel model under the assumption of an asymmetric water wheel for which the water inFlow Rate is in general unSteady (modeled by an arbitrary function of time). Our model allows one to recover the asymmetric water wheel with Steady Flow Rate, as well as the symmetric water wheel, as special cases. Under physically reasonable assumptions we then reduce the underlying model into a non-autonomous nonlinear system. In order to determine parameter regimes giving chaotic dynamics in this non-autonomous nonlinear system, we consider an application of competitive modes analysis. In order to apply this method to a non-autonomous system, we are required to generalize the competitive modes analysis so that it is applicable to non-autonomous systems. The non-autonomous nonlinear water wheel model is shown to satisfy competitive modes conditions for chaos in certain parameter regimes, and we employ the obtained parameter regimes to construct the chaotic attractors. As anticipated, the asymmetric unSteady water wheel exhibits more disorder than does the asymmetric Steady water wheel, which in turn is less regular than the symmetric Steady state water wheel. Our results suggest that chaos should be fairly ubiquitous in the asymmetric water wheel model with unSteady inFlow of water.
Chang Yi Wang - One of the best experts on this subject based on the ideXlab platform.
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starting electroosmotic Flow in an annulus and in a rectangular channel
Electrophoresis, 2008Co-Authors: Chien C Chang, Chang Yi WangAbstract:The initial electroosmotic Flow through a small pore or microchannel with annular or rectangular cross section is studied under the Debye-Huckel approximation. Analytical series solutions and their asymptotic behavior for small and large non-dimensional electrokinetic widths are found for these two basic cases. The explicit and accuRate solutions are particularly useful for examining various geometric/physical effects on the transient time scales and the Flow Rates for the transient states. The Steady Flow Rate of the smaller channel may be disproportionately smaller than a reference channel if the electric double layer is thick, but will be in close proportion to the area ratio if the electric double layer is thin. A smaller channel compared to a reference channel has a shorter transient time scale, and the transient Flow has characters very different from the Steady state if the electric double layer is thin. The total transient Flow Rate of several smaller pores or channels may exceed largely that of a single large pore or channel with the same total cross section on the transient time scale of the smaller channels. The results have important implications on liquid transport in micropores or channels by pulse voltages or more general time-varying voltages.
Chien C Chang - One of the best experts on this subject based on the ideXlab platform.
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starting electroosmotic Flow in an annulus and in a rectangular channel
Electrophoresis, 2008Co-Authors: Chien C Chang, Chang Yi WangAbstract:The initial electroosmotic Flow through a small pore or microchannel with annular or rectangular cross section is studied under the Debye-Huckel approximation. Analytical series solutions and their asymptotic behavior for small and large non-dimensional electrokinetic widths are found for these two basic cases. The explicit and accuRate solutions are particularly useful for examining various geometric/physical effects on the transient time scales and the Flow Rates for the transient states. The Steady Flow Rate of the smaller channel may be disproportionately smaller than a reference channel if the electric double layer is thick, but will be in close proportion to the area ratio if the electric double layer is thin. A smaller channel compared to a reference channel has a shorter transient time scale, and the transient Flow has characters very different from the Steady state if the electric double layer is thin. The total transient Flow Rate of several smaller pores or channels may exceed largely that of a single large pore or channel with the same total cross section on the transient time scale of the smaller channels. The results have important implications on liquid transport in micropores or channels by pulse voltages or more general time-varying voltages.
Sylvia Verbanck - One of the best experts on this subject based on the ideXlab platform.
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large eddy and detached eddy simulations of fluid Flow and particle deposition in a human mouth throat
Journal of Aerosol Science, 2008Co-Authors: S T Jayaraju, M Brouns, Chris Lacor, B Belkassem, Sylvia VerbanckAbstract:Abstract Fluid Flow was simulated in a human mouth–throat model under normal breathing conditions (30 l/min) alternatively employing RANS k – ω (without near-wall corrections), DES and LES methods. To test the validity of the fluid phase simulations, PIV measurements were carried out in a central sagittal plane of an identical model cast. Velocity and kinetic-energy profiles showed good quantitative agreement of experiments with LES/DES, and less so with RANS k – ω . Mouth–throat deposition was simulated for particle diameters 2, 4, 6, 8 and 10 μ m . By comparison with existing experimental data, LES/DES showed considerable improvement over the RANS k – ω model in predicting deposition for particle sizes below 5 μ m . For the bigger particles, RANS k – ω and LES/DES methods produced similarly good predictions. It is concluded that for the simulation of medication aerosols inhaled at a Steady Flow Rate of 30 l/min, LES and DES provide more accuRate results than the RANS k – ω model tested.
