<正> The migration of deformable drops in the channel flow neglecting the gravity influenceis investigated numerically by solving the incompressible Navier-Stokes equations using the finite-difference method coupled with the front-tracking technique.The objectives of this study are toexamine the effectiveness of the present approach for predicting the migration of drops in a shearflow and to investigate the behavior of the drop migration in the channel flow under zero-gravity.Tovalidate the present calculation,some typical results are compared with available computational andtheoretical data,which confirms that the present approach is reliable in predicting the drop migration.With respect to the drop migration in the channel flow at finite Reynolds numbers,the drops eithermove to an equilibrium lateral position or undergo an oscillatory motion under different conditions.The effects of some typical parameters,e.g.,the Reynolds number,the Weber number,the viscosityratio and the density ratio of the drop fluid to the suspending medium,and the drop size,on themigration of drops are discussed and analyzed.