How will a dielectric cylinder move in an infinite dielectric medium in the presence of an electric field?

Suppose I have a long dielectric cylinder (dielectric constant e1) placed in an infinite dielectric medium (dielectric constant e2) where there is a uniform electric field, which makes an angle with the axis of the cylinder. I want to calculate the boundary forces on the cylinder. How would I do it? I thought of breaking the E field into two components parallel and normal to the cylinder axis. I can get the solution to the normal component using boundary conditions applied to the Laplace equation and the parallel component should be equal. From these two components how do I get the force/torque acting (if at all any) on cylinder - either per unit length or surface area or volume?