TY - JOUR
T1 - Strain rate on curved surfaces
T2 - A differential-geometric approach
AU - Datta, Subhra
AU - Dewangan, Mainendra Kumar
N1 - Publisher Copyright:
© 2020 Elsevier Ltd
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 -