Magnetic field inside asymmetric cylindrical flux ropes

In order to consider an asymmetric field distribution inside a cylindrical tube with a circular cross section, with the field's magnitude maximum reached in a point different from the geometrical center of the tube, we propose a new solution obtained in so-called bi-cylindrical coordinates. If the parameter alpha of the system is very large, then the solution approaches the well known symmetric Lundquist solution. The new solution models a field magnitude shift due to relative motion of the cylinder and the ambient solar wind. If the cylinder is moving much faster than the ambient medium, its field's maximum is shifted forward, otherwise - in opposite direction. Quiet clouds, with velocities of ambient solar wind may have a symmetric structure. We present interplanetary clouds interpretation based on the new solution. There are criteria for such clouds: 1) asymmetric profile; 2) negligible expansion; 3) nearly central crossing.