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

Abstract

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^ \prime = D^\prime_0 \left(1 + \frac {D^\prime_0} {16\pi \rho vaU}M\right) + O(M^2),$ where D ′ 0 is the Stokes drag for flow with no magnetic effect.