RANS computations around airfoils are presented for flows where transition takes place across a laminar separation bubble. Transition locations are found employing the e_N method and a linear stability solver that uses the velocity and temperature profiles from a RANS-solution. Hereby, the known e_N-method is applied for the flows with steady onset conditions, whereas a new temporal scheme for the e_N-method is used for the flow around a plunging airfoil. Obtained numerical results are compared to hotwire-, pressure- and PIV-measurements of laminar separation bubbles