On the Wall Shear Stress Gradient in Fluid Dynamics. (24th March 2015)

• Record Type: Journal Article
• Authors: Cherubini, C.; Filippi, S.; Gizzi, A.; Nestola, M. G. C.
• Is Part Of: Communications in computational physics. Volume 17:Number 3(2015:Mar.)
• Page Start: 808
• Page End: 821
• Publication Date: 2015-03-24
• Subjects: 74A10, -- 76Z05, -- 53A45; Wall shear stress gradient, -- computational fluid dynamics, -- differential geometry; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.030714.101014a
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: The gradient of the fluid stresses exerted on curved boundaries, conventionally computed in terms of directional derivatives of a tensor, is here analyzed by using the notion of intrinsic derivative which represents the geometrically appropriate tool for measuring tensor variations projected on curved surfaces. Relevant differences in the two approaches are found by using the classical Stokes analytical solution for the slow motion of a fluid over a fixed sphere and a numerically generated three dimensional dynamical scenario. Implications for theoretical fluid dynamics and for applied sciences are finally discussed.