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A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenWed, 31 Jan 2024 19:44:57 +0000Nearly free molecular heat transfer from a sphere
https://resolver.caltech.edu/CaltechTHESIS:04052013-154128630
Authors: {'items': [{'id': 'Schmulian-R-J', 'name': {'family': 'Schmulian', 'given': 'Robert Jay'}, 'show_email': 'NO'}]}
Year: 1968
DOI: 10.7907/KZ16-1X08
Consider a sphere immersed in a rarefied monatomic gas with
zero mean flow. The distribution function of the molecules at infinity
is chosen to be a Maxwellian. The boundary condition at the body is
diffuse reflection with perfect accommodation to the surface temperature.
The microscopic flow of particles about the sphere is modeled
kinetically by the Boltzmann equation with the Krook collision term.
Appropriate normalizations in the near and far fields lead to a perturbation
solution of the problem, expanded in terms of the ratio of
body diameter to mean free path (inverse Knudsen number). The distribution
function is found directly in each region, and intermediate
matching is demonstrated. The heat transfer from the sphere is then
calculated as an integral over this distribution function in the inner
region. Final results indicate that the heat transfer may at first
increase over its free flow value before falling to the continuum level.https://thesis.library.caltech.edu/id/eprint/7582