Half‐space analysis basic to the time‐dependent BGK model in the kinetic theory of gases

1977 ◽  
Vol 18 (3) ◽  
pp. 376-380 ◽  
Author(s):  
C. E. Siewert ◽  
E. E. Burniston
Keyword(s):  
Kinetic Theory ◽  
Half Space ◽  
Time Dependent ◽  
Kinetic Theory Of Gases ◽  
Bgk Model ◽  
Space Analysis

Boundary-value problems in the kinetic theory of gases. Part 2. Thermal creep

1971 ◽  
Vol 45 (4) ◽  
pp. 759-768 ◽  
Author(s):  
M. M. R. Williams
Keyword(s):  
Thermal Conductivity ◽  
Heat Flux ◽  
Temperature Gradient ◽  
Kinetic Theory ◽  
Effective Thermal Conductivity ◽  
Half Space ◽  
Thermal Creep ◽  
Kinetic Theory Of Gases ◽  
Boundary Wall ◽  
Creep Velocity

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.

Some notes on a volume fraction mixture theory and a comparison with the kinetic theory of gases

1991 ◽  
Vol 29 (5) ◽  
pp. 561-573 ◽  
Author(s):  
A.C. Hansen ◽  
R.L. Crane ◽  
M.H. Damson ◽  
R.P. Donovan ◽  
D.T. Horning ◽  
...  
Keyword(s):  
Kinetic Theory ◽  
Volume Fraction ◽  
Mixture Theory ◽  
Kinetic Theory Of Gases ◽  
Fraction Mixture

The Royal Society’s first rejection of the kinetic theory of gases (1821), John Herapath versus Humphry Davy

1963 ◽  
Vol 18 (2) ◽  
pp. 161-180 ◽  
Keyword(s):  
Kinetic Theory ◽  
Royal Society ◽  
Kinetic Theory Of Gases ◽  
Early Nineteenth Century ◽  
Important Distinction ◽  
Mathematical Inquiry ◽  
History Of ◽  
Humphry Davy ◽  
Apparent Similarity ◽  
Caloric Theory

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.

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