This paper presents a generalized framework of stochastic modeling for particle kinetics in wall-bounded flow. We modified a reflected Brownian motion process and straightforwardly obtained a Kramers equation for particle probability density function (PDF). After the wall effects were accounted for as a drift from zero in the mean displacement and suppression in the diffusivity of a particle, an analytical solution was worked out for PDF. Three distinguishable mechanisms were identified to affect the profile of particle probability distribution: external forces, turbophoresis effect, and wall-drift effect. The proposed formulation covers the Huang et al. (2009) model of a wall that produces electrostatic repulsion force and van der Waals force, as well as Monte-Carlo solutions for the Peter and Barenbrug (2002) model under a variety of relaxation times. Moreover, it successfully reproduces the two patterns of particle concentration profiles observed in experiments of sediment-laden open-channel flows. The strength of the wall-drift effect was found to be connected with the interaction frequency between particle and wall. Further exploration of the relationship among flow turbulence, particle inertia, and particle concentration is worthwhile. 相似文献
The research on scroll profiles theory at present mainly is aiming at the single profile and its amelioration or parameter optimization,not aiming at the natural characteristic of the profiles equation of scroll profiles itself.Thus,the intrinsic differential equation bearing on arc-length and tangent direction angle was studied.Using the inherent differential equation and general functional theory,the conversion ideas between the expression of intrinsic differential equation and the expression in Cartesian... 相似文献
The Tangjiashan Quake Lake is the largest quake lake triggered by the 5.12 Wenchuan Earthquake that happened on May 12, 2008 in China, posing high risk of catastrophic flash flood hazards to downstream human life and properties. A physics-based numerical simulation approach is proposed for real-time prediction of dam breach development of the Tangjiashan Quake Lake in the case of emergency treatment. Bed erosion and lateral development of the dam breach are represented through accounting for the underlying physics including selective sediment transport and gravitational collapse. Conceptualized breach erosion model that involves few parameters enables quick calibration based on the monitored hydrological data in emergency analysis where fully geotechnical information about the barrier dam is not available. The process of dam breach development is found to be nonlinear in cascades due to the combined effects of headcutting and bank collapse. The agreement between the simulation results and the observed data shows the applicability of the present approach for emergency analysis of quake lakes. Limitations will arise in the situation where the soil composition of barrier dam is significantly inhomogeneous. Incorporation of circular arc failure for cohesive soil and lateral seepage in bank slope will also enhance its applicability to complex situations.
This article investigated the implementation of AUV local planning under the strong sea flow field by integrating Q learning with fuzzy logic method.The dynamics of AUV under the sea flow was analyzed in detail,and thus fuzzy logic behaviors were defined,including a fuzzy behavior which was defined to resist the sea flow by giving an extra angle towards sea flow.This behavior was complemented by two other behaviors,the moving-to-goal behavior and collision avoiding behavior.The recommendations of these three behaviors were integrated through adjustable weighting factors to generate the final motion command for the AUV.And Q-learning was used to adjust the peak point of fuzzy membership function to increase adaptability.Simulation results showed that it improves the adaptability of AUV under different sea flow greatly. 相似文献