A disk pack cooling arrangement has a disk pack with alternating first and second plates in which one or more first plates are configured to couple to a first machine component and one or more second plates are configured to couple to a second machine component that is rotatable with respect to the first machine component. Each first plate is of a radial dimension less than each second plate so that one or more annular channels exist radially outward of each first plate. One or more annular springs are disposed in an associated annular channel. Each spring is configured to apply a separating force to at least one second plate and to form one or more flow channels for cooling fluid to reach each first plate from an associated annular channel.