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There are observational evidences for the existence of twisted magnetic fieldin the solar corona. Here, we have investigated resonant damping of themagnetohydrodynamic (MHD) kink waves in magnetic flux tubes. A realistic modelof the tube with continuous magnetic twist and radially inhomogeneous densityprofile has been considered. We have obtained the dispersion relation of thekink wave using the solution to the linear MHD equations outside the densityinhomogeneity and the appropriate connection formula to the solutions acrossthe thin transitional boundary layer. The dependence of the oscillationfrequency and damping rate of the waves on the twist parameter and longitudinalwavenumber has been investigated. For the flux tube parameters considered inthis paper, we obtain rapid damping of the kink waves comparable to theobservations. In order to justify this rapid damping, depending on the sign ofthe azimuthal kink mode number, $m=+1$ or $m=-1$, the background magnetic fieldmust have left handed or right handed twisted profile, respectively. For themodel considered here, the resonant absorption occurs only when the twistparameter is in a range specified by the density contrast.

Resonant absorption of kink oscillations in coronal flux tubes with continuous magnetic twist