On the Virial Equation for Molecular Forces, being Part IV. of a Paper on the Foundations of the Kinetic Theory of Gases

1890 ◽  
Vol 16 ◽  
pp. 65-72 ◽  
Author(s):  
Tait

(Abstract.)In the preceding part of this paper I considered the consequences of a special assumption as to the nature of the molecular force between two particles, the particles themselves being still treated as hard spheres. My object was to obtain, by means of rigorous calculation, in as simple a form as possible, a general notion of the effects due to the molecular forces. My present object is to apply this general notion to the formation and interpretation of the Virial Equation.

1893 ◽  
Vol 19 ◽  
pp. 32-35
Author(s):  
Tait

AbstractThe first instalment of this part of my paper deals mainly with the theory of the behaviour of mixtures of CO2 and N, for which some remarkable experimental results were given by Andrews about 1874. His full paper, so far as he had drawn it up for press, was published posthumously in the Phil. Trans, for 1886, and is reprinted in his Scientific Papers, No. L. One special reaaon for the introduction of this question at the present stage of my work was the desire to attempt a correction of Amagat's numbers, for the (very small) admixture of air with his CO2. The virial equation for a mixture is formed on the same general principle as that I employed for a single gas. There are, of course, more undetermined constants :—and, unfortunately, the data for their determination are barely adequate. The general results, however, agree in character with those described by Andrews :—the particular phenomenon which is most closely studied being the increase of volume, at constant pressure, when the gases (originally separated by the liquefaction of one) were allowed to diffuse into one another.


The Kinetic Theory of Gases leads to a number of relations between the diffusion, conductivity and viscosity coefficients of gases, and the large measure of confirmation of these has been the greatest triumph of that theory. Most of these relations have been shown by S. Chapman and Enskog to be independent of any particular model of the molecule. In the case of the dependence of viscosity upon temperature, however, the theory gives different results for different molecular models, and the determination of the temperature coefficient of viscosity can therefore be of service in the elucidation of molecular forces.


1888 ◽  
Vol 14 ◽  
pp. 21-24
Author(s):  
Tait

In a former paper, printed in Trans. Boy. Soc. Edin., 1886, I showed that the recovery of the “special” state by a gas supposed to consist of equal hard spheres takes place, at ordinary pressures and temperatures, in a period of the order of 10−9 seconds, at highest.


1991 ◽  
Vol 29 (5) ◽  
pp. 561-573 ◽  
Author(s):  
A.C. Hansen ◽  
R.L. Crane ◽  
M.H. Damson ◽  
R.P. Donovan ◽  
D.T. Horning ◽  
...  

On 24 May 1820 a manuscript entitled ‘A Mathematical Inquiry into the Causes, Laws and Principal Phenomena of Heat, Gases, Gravitation, etc.’ was submitted to Davies Gilbert for publication in the Philosophical Transactions of the Royal Society . The author was John Herapath (1790-1868), and his article included a comprehensive (if somewhat faulty) exposition of the kinetic theory of gases. Sir Humphry Davy, who assumed the Presidency of the Royal Society on 30 November 1820, became primarily responsible for the fate of the article and wrote several letters to Herapath concerning it. After it became clear that there was considerable opposition to its publication by the Royal Society, Herapath withdrew the article and sent it instead to the Annals of Philosophy , where it appeared in 1821 (1). Herapath’s theory received little notice from scientists until thirty-five years later, when the kinetic theory was revived by Joule, Krönig, Clausius, and Maxwell. The incident is significant in the history of physical science because it illustrates an important distinction between the two doctrines concerning the nature of heat—the kinetic and the vibration theories—a distinction which is often forgotten because of the apparent similarity of both doctrines as contrasted with the caloric theory. It also throws some light on the character of early nineteenth century British science, both in and out of the Royal Society.


1971 ◽  
Vol 45 (4) ◽  
pp. 759-768 ◽  
Author(s):  
M. M. R. Williams

The effect of a temperature gradient in a gas inclined at an angle to a boundary wall has been investigated. For an infinite half-space of gas it is found that, in addition to the conventional temperature slip problem, the component of the temperature gradient parallel to the wall induces a net mass flow known as thermal creep. We show that the temperature slip and thermal creep effects can be decoupled and treated quite separately.Expressions are obtained for the creep velocity and heat flux, both far from and at the boundary; it is noted that thermal creep tends to reduce the effective thermal conductivity of the medium.


1983 ◽  
Vol 60 (6) ◽  
pp. 526 ◽  
Author(s):  
Michael T. Marron

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