The air is modeled as incompressible flow in a ribbed channel. The existence of ribs onchannel surface causes the turbulence in flow, therefore we must solve the turbulenceequations. There are previous experimentally investigations on turbulence flow in ribbedchannels. In this article, the results of numerical simulation are compared withexperimental results and the effectiveness of k−ε model in solving theproblem of micro-particle deposition with Lagrangian model is studied because ofcomplexities of turbulent flow, the problem is modeled both 2- and 3-dimensionally. Aftersolving the fluid domain, the particle equations of motion are solved separately andfinally the particle deposition on channel surface is calculated. Considering the physicand complications of turbulent flows, the results of 2-D simulation are different withexperimental results, despite of 3-D results, which are in complete accordance withexperimental results.