The temperature-jump problem for a variable collision frequency model
نویسندگان
چکیده
An analytical version of the discrete-ordinates method is used here in the field of rarefied-gas dynamics to solve a version of the temperature-jump problem that is based on a linearized, variable collision frequency model of the Boltzmann equation. In addition to a complete development of the discrete-ordinates method for the application considered, the computational algorithm is implemented to yield accurate numerical results for three specific cases: the classical BGK model, the Williams model ~the collision frequency is proportional to the magnitude of the velocity!, and the rigid-sphere model. © 2002 American Institute of Physics. @DOI: 10.1063/1.1416192#
منابع مشابه
The temperature-jump problem for a mixture of two gases
An analytical variation of the discrete-ordinates method is used to establish a concise and accurate solution to the temperature-jump problem for a binary gas mixture. The analysis is based on Boltzmann equations of the BGK type subject to Maxwell's boundary conditions with arbitrary accommodation coe$cients. The results include the complete temperature and density "elds for speci"ed mass, dens...
متن کاملKramers’ problem for a variable collision frequency model
The often-studied problem known as Kramers’ problem, in the general area of rarefied-gas dynamics, is investigated in terms of a linearized, variable collision frequency model of the Boltzmann equation. A convenient change of variables is used to reduce the general case considered to a canonical form that is well suited for analysis by analytical and/or numerical methods. While the general form...
متن کاملPopulation Balance Equation Modeling of Crude Oil Demulsification Considering Demulsifier: Modification of Collision Frequency Function Based on Thermodynamic Model
A theoretical model is developed to consider the effect of demulsifier agent on demulsification of water-in-crude oil emulsion. A thermodynamic approach is considered to correlate the critical micelle concentration of a demulsifier to the collision frequency function in population balance equation (PBE). Based on the proposed correlation, the collision frequency function is modified to account ...
متن کاملOptimizing the actuation of musculoskeletal model by genetic algorithm to simulate the vertical jump
In human body movement simulation such as vertical jump by a forward dynamic model, optimal control theories must be used. In the recent years, new methods were created for solving optimization problems which they were adopted from animal behaviors and environment events such as Genetic algorithm, Particle swarm and Imperialism competitive. In this work, the skeletal model was constructed by Ne...
متن کاملIdentifying at Highway-Rail Grade Crossing Hotspots in Canada
This research presents a risk-based Hotspots identification model at highway-rail grade crossings in Canada. Two sets of models were developed to predict collision frequency and consequence at individual crossings. A two–dimensional graphic approach was adopted to combine these two models together to predict the risk at each crossing. Hotspots based on collision history tended to be widespread ...
متن کامل