Effect of different combination rules on excess properties of mixtures of simple liquids as calculated by the one-fluid theory of corresponding states

1973 ◽  
Vol 38 (7) ◽  
pp. 1858-1867 ◽  
Author(s):  
K. Hlavatý
Keyword(s):  
Corresponding States ◽  
Excess Properties ◽  
Combination Rules ◽  
Simple Liquids ◽  
Fluid Theory ◽  
The One

scholarly journals The equatorial E-region and its plasma instabilities: a tutorial

2009 ◽  
Vol 27 (4) ◽  
pp. 1509-1520 ◽  
Author(s):  
D. T. Farley
Keyword(s):  
Current System ◽  
Three Dimensional ◽  
Plasma Instabilities ◽  
Basic Physics ◽  
Electrojet Current ◽  
Fluid Theory ◽  
E Region ◽  
Kinetic Effects ◽  
The One ◽  
Observational Techniques

Abstract. In this short tutorial we first briefly review the basic physics of the E-region of the equatorial ionosphere, with emphasis on the strong electrojet current system that drives plasma instabilities and generates strong plasma waves that are easily detected by radars and rocket probes. We then discuss the instabilities themselves, both the theory and some examples of the observational data. These instabilities have now been studied for about half a century (!), beginning with the IGY, particularly at the Jicamarca Radio Observatory in Peru. The linear fluid theory of the important processes is now well understood, but there are still questions about some kinetic effects, not to mention the considerable amount of work to be done before we have a full quantitative understanding of the limiting nonlinear processes that determine the details of what we actually observe. As our observational techniques, especially the radar techniques, improve, we find some answers, but also more and more questions. One difficulty with studying natural phenomena, such as these instabilities, is that we cannot perform active cause-and-effect experiments; we are limited to the inputs and responses that nature provides. The one hope here is the steadily growing capability of numerical plasma simulations. If we can accurately simulate the relevant plasma physics, we can control the inputs and measure the responses in great detail. Unfortunately, the problem is inherently three-dimensional, and we still need somewhat more computer power than is currently available, although we have come a long way.

On the principle of corresponding states for the viscosity of simple liquids

Physica ◽  
1967 ◽  
Vol 33 (3) ◽  
pp. 547-557 ◽  
Author(s):  
J.P. Boon ◽  
J.C. Legros ◽  
G. Thomaes
Keyword(s):  
Corresponding States ◽  
Simple Liquids

POTENTIAL ENERGY CURVES AND DISSOCIATION PRODUCTS OF THE K2 MOLECULE

1964 ◽  
Vol 42 (3) ◽  
pp. 452-457 ◽  
Author(s):  
D. K. Rai ◽  
A. N. Tripathi
Keyword(s):  
Potential Energy ◽  
Corresponding States ◽  
Potential Energy Curves ◽  
Potential Curve ◽  
Empirical Potential ◽  
Dissociation Energies ◽  
The One

A R.K.R.V. calculation has been performed for the [Formula: see text] and B1Πu state of the K2 molecule. By fitting an empirical potential curve to the known true potential curve (the one obtained by the R.K.R.V. method) the dissociation energies of the corresponding states can be estimated. These estimated values allow the states of the dissociated atom to be determined. We have used the four-parameter Lippincott and the five-parameter Hulburt–Hirschfelder functions to approximate the R.K.R.V. curves of the two states. The agreement between the curves is of the same type as already found in previous cases.

On the continuum theory of the two-fluid solar wind for small mass ratio

1976 ◽  
Vol 348 (1655) ◽  
pp. 511-523 ◽  
Keyword(s):  
Solar Wind ◽  
Prandtl Number ◽  
Shock Layer ◽  
Continuum Theory ◽  
Mass Ratio ◽  
Coulomb Collisions ◽  
Fluid Theory ◽  
The One ◽  
Two Fluid ◽  
The Continuum

The continuum theory for the two-fluid solar wind is considered. The fluid is assumed to be a fully ionized neutral plasma of electrons and protons which is compressible, viscous and heat conducting with a constant Prandtl number and a viscosity proportional to (temperature) ω , ω > 1. The gas is under the influence of a gravitational field centred on the Sun. It is assumed that the bulk velocity (at any point) is the same for both electrons and protons, but that an energy transfer can occur between the two species due to binary (Coulomb) collisions. The equations are non-dimensionalized and it is shown that the natural parameter to use in the construction of an asymptotic solution is the mass ratio. The limit mass ratio → zero corresponds to the small Prandtl number limit for the one-fluid theory developed by Johnson (1975). By using the method of matched asymptotic expansions, a solution is constructed that starts from the base of the corona and extends out to a diffuse shock layer. The results obtained exactly parallel the one-fluid theory and many details are identified and absorbed into this analysis. It is shown how the temperatures in the corona eventually become the well-known behaviours: r -2/7 (electrons), r -6/7 (protons) when ω = 5/2 and r is the radial coordinate. However, the continuum theory will probably have failed in the shock layer region - the more so since this occurs at about 100 light years distance - and so further mathematical details are omitted. The numerical estimates given here compare tolerably well with the observed data and very favourably with other work on the same equations.

The Cutting Optimization of the CNC Bothway Panel Saw under the Technology Constraint

2011 ◽  
Vol 308-310 ◽  
pp. 908-913
Author(s):  
Yan Ma ◽  
Chun Mei Yang
Keyword(s):  
Mathematical Model ◽  
Heuristic Algorithm ◽  
Optimization Algorithm ◽  
Sheet Material ◽  
Cutting Process ◽  
Two Dimensional ◽  
Furniture Industry ◽  
Urgent Problem ◽  
Combination Rules ◽  
The One

This paper is based on the urgent problem of furniture industry that is to increase the utilization of sheet material and improve the speed of sheet material discharging as the goal. To the problem of the cutting and nesting of the artificial board of CNC bothway Panel Saw analyses the “one size fits all” which under the technology constraint proposed the constrained condition of optimization of cutting. And optimization algorithm of two-dimensional sheet material nesting of rectangular pieces is studied and established a mathematical model. Using the Heuristic algorithm to solve the problem of two-dimensional rectangular pieces. The introduction of rules of location rules, combination rules and adjacency rules to make nesting layout reasonable and make the cutting process simplify.

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