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Article
Equilibrium Temperature of a Convex Body in a Free Molecular Shearing Flow
| Authors: |
Söderholm, L. H. S. |
| Document Type: |
Article |
| Pubstate: |
Published |
| Journal: |
Phys. Rev. E. |
| Volume: |
66
031204--1-4 |
| Year: |
2002 |
AbstractIt is shown that the equilibrium temperature Tw of a high conductivity axially symmetric convex body in a simply shearing gas of temperature T is given by Tw/T=1+((beta a)/4)(p_{xy/p)(sin ^{2}theta sin (2phi ). theta ,phi are polar angles of the axis of the body (z is the polar axis). a is a geometric shape factor of the body (which vanishes for a sphere) and beta takes the value 1 if only the lowest order Sonine term is retained. p is the pressure and p_xy the viscous pressure. The body is assumed small compared to the mean free path which is small compared to the length scale of the velocity field.
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