  In the magnetohydrodynamics (MHD) experiment performed by Bondarenko and his
co-workers in 1979, the Kolmogorov flow loses stability and transits into a
secondary steady state flow at the Reynolds number $R=O(10^3)$. This problem is
modelled as a MHD flow bounded between lateral walls under slip wall boundary
condition. The existence of the secondary steady state flow is now proved. The
theoretical solution has a very good agreement with the flow measured in
laboratory experiment at $R=O(10^3)$. Further transition of the secondary flow
is observed numerically. Especially, well developed turbulence arises at
$R=O(10^4)$.
