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The current study utilized a molecular dynamics (MD) method to investigate the concentration effects of the mixture with polymer and monatomic liquid on the lubrication rheological properties. Fluids considered were confined in a molecularly thin film in which the number of molecular layers and film thickness are varied. In the MD simulation, polymer molecules were modeled as bead-spring chains using the finitely extendable nonlinear elastic potential. Both the Poiseuille flow and Couette flow were analyzed and the results were presented for slip ratio, viscosity, and the relation between shear stress and shear rate. It was found that the properties of polymer solution in molecularly thin film are different from the bulk properties and that the polymer concentration will affect the rheological behaviors for molecularly thin film. © 2004 American Institute of Physics.