The laminar flow characteristics in a rectangular channel in rolling motion is investigated theoretically.The correlations of velocity and temperature in rolling motion are derived.And the heat transfer correlation is also obtained.The Nusselt number is a function of the position,while the oscillating amplitude of transient Nusselt number increases with the increase of
Prandtl number.There is an initial phase difference of 45 degree between the transient Nusselt number and the rolling motion.