Volume 17, Issue 3
On the Wall Shear Stress Gradient in Fluid Dynamics

C. Cherubini, S. Filippi, A. Gizzi & M. G. C. Nestola

Commun. Comput. Phys., 17 (2015), pp. 808-821.

Published online: 2018-04

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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.

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@Article{CiCP-17-808, author = {}, title = {On the Wall Shear Stress Gradient in Fluid Dynamics}, journal = {Communications in Computational Physics}, year = {2018}, volume = {17}, number = {3}, pages = {808--821}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.030714.101014a}, url = {http://global-sci.org/intro/article_detail/cicp/10978.html} }
TY - JOUR T1 - On the Wall Shear Stress Gradient in Fluid Dynamics JO - Communications in Computational Physics VL - 3 SP - 808 EP - 821 PY - 2018 DA - 2018/04 SN - 17 DO - http://doi.org/10.4208/cicp.030714.101014a UR - https://global-sci.org/intro/article_detail/cicp/10978.html KW - AB -

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.

C. Cherubini, S. Filippi, A. Gizzi & M. G. C. Nestola. (2020). On the Wall Shear Stress Gradient in Fluid Dynamics. Communications in Computational Physics. 17 (3). 808-821. doi:10.4208/cicp.030714.101014a
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