Research output: Contribution to journal › Short survey › peer-review
The condition of mechanical equilibrium for a non-spherical interface between phases with a non-diagonal stress tensor. / Rusanov, Anatoly I.; Shchekin, Alexander K.
In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 192, No. 1-3, 30.11.2001, p. 357-362.Research output: Contribution to journal › Short survey › peer-review
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TY - JOUR
T1 - The condition of mechanical equilibrium for a non-spherical interface between phases with a non-diagonal stress tensor
AU - Rusanov, Anatoly I.
AU - Shchekin, Alexander K.
PY - 2001/11/30
Y1 - 2001/11/30
N2 - A compact form for the condition of mechanical equilibrium for arbitrary curved interfaces has been formulated in the case when the bulk pressures are non-diagonal local tensors. This form of the condition is applicable to a non-spherical interface between fluid or solid phases, without or with arbitrary number of any external fields. The equilibrium condition has been transformed into a set of differential equations for the tangential and transverse components of the mechanical surface tension and bulk pressure tensors at a dividing surface. One condition simplifies to the usual Laplace equation of capillarity for the transverse direction across the interface, while the other conditions relate to the tangential equilibrium state of the fluid. The amendment of the definition of a dividing surface has been given.
AB - A compact form for the condition of mechanical equilibrium for arbitrary curved interfaces has been formulated in the case when the bulk pressures are non-diagonal local tensors. This form of the condition is applicable to a non-spherical interface between fluid or solid phases, without or with arbitrary number of any external fields. The equilibrium condition has been transformed into a set of differential equations for the tangential and transverse components of the mechanical surface tension and bulk pressure tensors at a dividing surface. One condition simplifies to the usual Laplace equation of capillarity for the transverse direction across the interface, while the other conditions relate to the tangential equilibrium state of the fluid. The amendment of the definition of a dividing surface has been given.
KW - Fluids in external fields
KW - Laplace equation
KW - Non-spherical interfaces
KW - Surface tension
UR - http://www.scopus.com/inward/record.url?scp=0035976424&partnerID=8YFLogxK
U2 - 10.1016/S0927-7757(01)00736-1
DO - 10.1016/S0927-7757(01)00736-1
M3 - Short survey
AN - SCOPUS:0035976424
VL - 192
SP - 357
EP - 362
JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects
JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects
SN - 0927-7757
IS - 1-3
ER -
ID: 26002045