WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 16, 2021
An Analytical Simulation of Boundary Roughness for Incompressible Viscous Flows
Author:
Abstract: The 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. For facility reasons and without violating the generality,
one may select the cross – section of the body which contains its center of gravity and is perpendicular to the
main flow direction. The boundary of this cross – sectional area is mathematically simulated as the polygonal
path of the length of a single – valued continuous function. Evidently, this function should be of bounded
variation. The novelty of this work is that the formulation of the random roughness of the boundary has been
carried out in a deterministic manner.
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Keywords: Newtonian fluid, incompressible flow, mounted obstacle, random roughness, polygonal path,
Riemann - Stieltjes integral
Pages: 9-15
DOI: 10.37394/232011.2021.16.2