Dimensionless velocity profiles (w) for the two indistinguishable nodal solutions as a function of the r/R coordinate, with α = 1.0 and line-force parameters ϵ = 0.1 and η = 0.5. The inset shows a zoomed-in image of the two solutions around the singular point. The black solid line correspond to the w′_s+ branch solution and the dashed line to the w′_s− branch solution. The light gray solid line represents the sound speed value (w = 1). The stellar parameters are given at the beginning of Sect. 5.