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09-01-2021 | Original

Modelling flow past a rough sphere via stream functions and solution through Galerkin’s method

Authors: Ángel Báez, Marcel-André Ramírez-Trocherie, Alan Lobato, Pablo Padilla, Reinaldo Rodríguez-Ramos, Ernesto Iglesias-Rodríguez

Published in: Archive of Applied Mechanics | Issue 5/2021

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Abstract

We study the flow past a rough sphere considering the rugosity as a parameter and its effect on the drag coefficient. The numerical implementation is carried out via a novel approach using Galerkin’s method combined with an asymptotic expansion for the stream function. The amplitude of the spatial fluctuation is used as the perturbation parameter. The numerical results for the size of the vortex ring and streamlines in the smooth case are compared with experimental data found in the literature. In addition, when the surface is rough, we compare the numerical results with the smooth case and the implications of the rugosity in the separation point and other features of the flow are discussed.

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Title: Modelling flow past a rough sphere via stream functions and solution through Galerkin’s method
Authors: Ángel Báez
Marcel-André Ramírez-Trocherie
Alan Lobato
Pablo Padilla
Reinaldo Rodríguez-Ramos
Ernesto Iglesias-Rodríguez
Publication date: 09-01-2021
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 5/2021
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-020-01860-7

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