Applications of a New Model for the Differential Cross{section of a Classical Polyatomic Gas
نویسندگان
چکیده
We give a comparison of various di erential cross{section models for a classical polyatomic gas for a homogeneous relaxation problem and the shock wave pro les at Mach numbers 1.71 and 12.9. Besides the standard Borgnakke{Larsen model and its generalization to an energy dependent coe cient to control the amount of rotationally elastic and completely inelastic collision, we discuss some new models recently proposed by the same authors. Moreover, we present numerical algorithms to implement the models in a particle or Monte{Carlo code and compare the numerical shock wave pro les with existing experimental data.
منابع مشابه
Constructing a Body-Fixed Reference Frame for a Polyatomic Molecule
An attempt is made to show in a straightforward way how a body-fixed frame may be constructed in classical and hence in quantum mechanics for a polyatomic molecule with the aid of which the vibration-rotation behavior of the molecule may be described.
متن کاملA nonlinear second order field equation – similarity solutions and relation to a Bellmann-type equation - Applications to Maxwellian Molecules
In this paper Lie’s formalism is applied to deduce classes of solutions of a nonlinear partial differential equation (nPDE) of second order with quadratic nonlinearity. The equation has the meaning of a field equation appearing in the formulation of kinetic models. Similarity solutions and transformations are given in a most general form derived to the first time in terms of reciprocal Jacobian...
متن کاملبررسی فرایند انتقال بار در برخورد یون با اتمهای چند الکترونی با استفاده از تقریب آیکونال در فرمولبندی برینکمن- کرامرز
In the present work, the scattering differential cross section has been investigated for ion-multi electron atoms collision in the charge transfer channel. For this purpose, an active electron model was implemented and the collision process was considered as a three-body impact in the high energy range. A semi-classical formalism was used with the eikonal distorted wave function to describe the...
متن کاملThe new implicit finite difference scheme for two-sided space-time fractional partial differential equation
Fractional order partial differential equations are generalizations of classical partial differential equations. Increasingly, these models are used in applications such as fluid flow, finance and others. In this paper we examine some practical numerical methods to solve a class of initial- boundary value fractional partial differential equations with variable coefficients on a finite domain. S...
متن کاملCoefficient bounds for a new class of univalent functions involving Salagean operator and the modified Sigmoid function
We define a new subclass of univalent function based on Salagean differential operator and obtained the initial Taylor coefficients using the techniques of Briot-Bouquet differential subordination in association with the modified sigmoid function. Further we obtain the classical Fekete-Szego inequality results.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999