The effect of equilibrium flow on linear Alfven resonances in coronal
loops is studied in the compressible viscous MHD model. By means of a
finite element code, the full set of linearised driven MHD equations a
re solved for a one-dimensional equilibrium model in which the equilib
rium quantities depend only on the radial coordinate. Computations of
resonant absorption of Alfven waves for two classes of coronal loop mo
dels show that the efficiency of the process of resonant absorption st
rongly depends on both the equilibrium parameters and the characterist
ics of the resonant wave. We find that a steady equilibrium shear flow
can also significantly influence the resonant absorption of Alfven wa
ves in coronal magnetic flux tubes. The presence of an equilibrium flo
w may therefore be important for resonant Alfven waves and coronal hea
ting. A parametric analysis also shows that the resonant absorption ca
n be strongly enhanced by the equilibrium flow, even up to total dissi
pation of the incoming wave.