  Measuring lift force on symmetrically shaped obstacles immersed in laminar
flow is the quintessential way of signalling odd viscosity. For flow past
cylinders, such a lift force does not arise when incompressibility and no-slip
boundary conditions hold, whereas for spheres, a lift force was found in Stokes
flow, applying to cases where the Reynolds number is negligible and convection
can be ignored. When considering the role of convection at low but nonzero
Reynolds numbers, two arising hurdles are the Whitehead paradox and the
breaking of axial symmetry, which are overcome by asymptotic matching and the
Lorentz reciprocal theorem respectively. We also consider the case where axial
symmetry is retained because the translation of the sphere is aligned with the
anisotropy vector of odd viscosity. We find that while lift vanishes, the
interplay between odd viscosity and convection gives rise to a stream-induced
non-vanishing torque.
