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


It 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.