In the present work an analytical study of the heat transfer in an oscillating flow through a porous medium is performed using a two equation model. The previous analysis performed [Byun et al. Int. J. Heat Mass Transfer 2006, 49, 5081-5085] is extended to include an arbitrary velocity magnitude and arbitrary oscillation pattern of the flow. Using asymptotic analysis with respect to several dimensionless parameters, the limits of validity of the analytical solution based on the previous approach [Byun et al. Int. J. Heat Mass Transfer 2006, 49, 5081-5085] are assessed. A new analytical solution is derived for the case of thermal equilibrium between solid and fluid. Several asymptotic results existing in the literature [Byun et al. Int. J. Heat Mass Transfer 2006, 49, 5081-5085; Klein and Eigenberger Int. J. Heat Mass Transfer 2001, 44, 3535-3563] are compared with the findings of the present work. This work completes the analytical study of the particular mathematical problem, previously advanced [Byun et al. Int. J. Heat Mass Transfer 2006, 49, 5081-5085; Klein and Eigenberger Int. J. Heat Mass Transfer 2001, 44, 3535 3563]