Force dipole interactions in tubular fluid membranes

We construct viscous fluid flow sourced by a force dipole embedded in cylindrical membrane, coupled to external embedding fluids. find analytic expressions for the flow, limit of infinitely long and thin tubular membranes. utilize this solution formulate in-plane dynamics pair pusher-type dipoles along cylinder surface. that mutually perpendicular generically move together helical geodesics. Since geometry breaks rotational symmetry there is difference flows axial transverse directions cylinder. This turn leads anisotropic hydrodynamic interaction between remarkably different from flat spherical In particular, compact direction has local rigid rotation term (independent angular coordinate but decays axis cylinder). Due feature we observe interacting initially situated exhibits an overall drift membrane. increases linearly with time. Our results are relevant non-equilibrium motor proteins membranes arising nature, as well in-vitro experiments (25).