Strain rate on curved surfaces: A differential-geometric approach

Subhra Datta; Mainendra Kumar Dewangan

doi:10.1016/j.mechrescom.2020.103633

Strain rate on curved surfaces: A differential-geometric approach

Subhra Datta
, Mainendra Kumar Dewangan

Indian Institute of Technology Delhi

Research output: Contribution to journal › Article › peer-review

Abstract

Utilizing the geometrical characteristics of a simple smooth curve embedded in an orientable surface of arbitrary shape, expressions are derived in boundary-fitted curvilinear coordinates, for the normal and tangential strain rate of a fluid which contacts the surface. The derived expressions can be applied to stream-surfaces, solid walls with hydrodynamic slippage and two-fluid interfaces. The use of the expressions is discussed with specific examples and critical examination of the literature.

Original language	English
Article number	103633
Journal	Mechanics Research Communications
Volume	110
DOIs	https://doi.org/10.1016/j.mechrescom.2020.103633
Publication status	Published - Dec 2020
Externally published	Yes

Keywords

Hydrodynamic slippage
Strain rate
Stress
Traction

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10.1016/j.mechrescom.2020.103633

Cite this

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title = "Strain rate on curved surfaces: A differential-geometric approach",

abstract = "Utilizing the geometrical characteristics of a simple smooth curve embedded in an orientable surface of arbitrary shape, expressions are derived in boundary-fitted curvilinear coordinates, for the normal and tangential strain rate of a fluid which contacts the surface. The derived expressions can be applied to stream-surfaces, solid walls with hydrodynamic slippage and two-fluid interfaces. The use of the expressions is discussed with specific examples and critical examination of the literature.",

keywords = "Hydrodynamic slippage, Strain rate, Stress, Traction",

author = "Subhra Datta and Dewangan, \{Mainendra Kumar\}",

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year = "2020",

month = dec,

doi = "10.1016/j.mechrescom.2020.103633",

language = "English",

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AU - Datta, Subhra

AU - Dewangan, Mainendra Kumar

PY - 2020/12

Y1 - 2020/12

N2 - Utilizing the geometrical characteristics of a simple smooth curve embedded in an orientable surface of arbitrary shape, expressions are derived in boundary-fitted curvilinear coordinates, for the normal and tangential strain rate of a fluid which contacts the surface. The derived expressions can be applied to stream-surfaces, solid walls with hydrodynamic slippage and two-fluid interfaces. The use of the expressions is discussed with specific examples and critical examination of the literature.

AB - Utilizing the geometrical characteristics of a simple smooth curve embedded in an orientable surface of arbitrary shape, expressions are derived in boundary-fitted curvilinear coordinates, for the normal and tangential strain rate of a fluid which contacts the surface. The derived expressions can be applied to stream-surfaces, solid walls with hydrodynamic slippage and two-fluid interfaces. The use of the expressions is discussed with specific examples and critical examination of the literature.

KW - Hydrodynamic slippage

KW - Strain rate

KW - Stress

KW - Traction

UR - https://www.scopus.com/pages/publications/85095969394

U2 - 10.1016/j.mechrescom.2020.103633

DO - 10.1016/j.mechrescom.2020.103633

M3 - Article

AN - SCOPUS:85095969394

SN - 0093-6413

VL - 110

JO - Mechanics Research Communications

JF - Mechanics Research Communications

M1 - 103633

ER -

Strain rate on curved surfaces: A differential-geometric approach

Abstract

Keywords

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