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On the Wall Shear Stress Gradient in Fluid Dynamics

Published online by Cambridge University Press:  24 March 2015

C. Cherubini ,
S. Filippi ,
A. Gizzi  and
M. G. C. Nestola
C. Cherubini*
Affiliation:
Nonlinear Physics and Mathematical Modeling Laboratory International Center for Relativistic Astrophysics – I.C.R.A., University Campus Bio-Medico of Rome, Via A. del Portillo 21, I-00128 Rome, Italy
S. Filippi
Affiliation:
Nonlinear Physics and Mathematical Modeling Laboratory International Center for Relativistic Astrophysics – I.C.R.A., University Campus Bio-Medico of Rome, Via A. del Portillo 21, I-00128 Rome, Italy
A. Gizzi
Affiliation:
Nonlinear Physics and Mathematical Modeling Laboratory
M. G. C. Nestola
Affiliation:
Nonlinear Physics and Mathematical Modeling Laboratory
*
*Corresponding author. Email addresses: c.cherubini@unicampus.it (C. Cherubini), s.filippi@unicampus.it (S. Filippi), a.gizzi@unicampus.it (A. Gizzi), m.nestola@unicampus.it (M. G. C. Nestola)
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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.

Keywords

74A1076Z0553A45Wall shear stress gradientcomputational fluid dynamicsdifferential geometry
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 3 , March 2015 , pp. 808 - 821
Copyright
Copyright © Global-Science Press 2015 

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