5f8e0aba-eb25-4b21-bdf2-e58f1452f9da20210312052459109wseamdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS2224-34291991-874710.37394/232011http://wseas.org/wseas/cms.action?id=40063420213420211610.37394/232011.2021.16https://wseas.org/wseas/cms.action?id=23298An Analytical Simulation of Boundary Roughness for Incompressible Viscous FlowsJohnVenetisDepartment of Applied Mathematics and Physical Sciences, National Technical University of Athens, 5 Heroes of Polytechnion Avenue, Athens, GreeceThe intention of this paper is to investigate the boundary roughness of a mounted obstacle which is inserted into an incompressible, external and viscous flow field of a Newtonian fluid. In particular, the present study focuses on the cross – sectional area of the obstacle, which is assumed to be a non deformable body (rigid object) with a predefined shape of random roughness. 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