Stokes flow of a conducting fluid past an axially symmetric body in the presence of a uniform magnetic field

Low Reynolds number flow of an incompressible fluid past an axially symmetric body in the presence of a uniform magnetic field is studied using a perturbation method. It is found that for small Hartmann number M an approximate drag formula is given by D^ = D^₀ (1 + D^₀/16π ρ vaUM) + O(M²), where D ′ 0 is the Stokes drag for flow with no magnetic effect.