Comment on teaching the flux and transport parameters of Maxwellian gas within the kinetic theory

Authors
Citation
I. Abdulhalim, Comment on teaching the flux and transport parameters of Maxwellian gas within the kinetic theory, EUR J PHYS, 22(5), 2001, pp. 519-526
Citations number
27
Categorie Soggetti
Physics
Journal title
EUROPEAN JOURNAL OF PHYSICS
ISSN journal
01430807 → ACNP
Volume
22
Issue
5
Year of publication
2001
Pages
519 - 526
Database
ISI
SICI code
0143-0807(200109)22:5<519:COTTFA>2.0.ZU;2-N
Abstract
Within the kinetic theory of an ideal gas, the flux of particles having a n umber density n, and average velocity (v) over bar impinging on a plane fro m one side, is sometimes written in textbooks as n (v) over bar /6 and some times as n (v) over bar /4. The validity of each expression is worked out h ere with emphasis on their effect on the pre-factor for the expressions of the transport parameters such as viscosity, diffusion coefficient and heat conductivity. It is shown that n (v) over bar /4 is valid in equilibrium wh ile only when there are gradients, effectively the flux becomes n (v) over bar /6. For the correct derivation of the transport parameters the introduc tion of a distribution function for the collision times or mean free paths is essential. A methodology is suggested on how to teach this subject to un dergraduate and graduate students.