Temperature and velocity profiles along a singular interface between two immiscible fluids

Bedeaux, Albano, and Mazur (BAM) have developed a convenient method to derive the boundary conditions for non‐equilibrium thermodynamic systems made of two bulk phases separated by a free interface. In their description, the interface is considered as a thermodynamic system characterized by its inte...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Mathematical methods in the applied sciences Ročník 45; číslo 2; s. 928 - 955
Hlavní autor: Vanhaelen, Quentin
Médium: Journal Article
Jazyk:angličtina
Vydáno: Freiburg Wiley Subscription Services, Inc 30.01.2022
Témata:
Asymptotic methods
Boundary conditions
Fluid flow
Formability
Incompressible flow
Incompressible fluids
method of multiple scales
Multiscale analysis
nonlinear dynamics
non‐equilibrium thermodynamics
singular interface
solvability condition
Thermodynamic equilibrium
transport coefficients
Transport properties
Velocity distribution
ISSN:0170-4214, 1099-1476
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:Bedeaux, Albano, and Mazur (BAM) have developed a convenient method to derive the boundary conditions for non‐equilibrium thermodynamic systems made of two bulk phases separated by a free interface. In their description, the interface is considered as a thermodynamic system characterized by its intensive and extensive variables. The boundary conditions describing the free interface are expressed in terms of fluxes, thermodynamic forces, and interface transport coefficients. Previous works have focused on the derivation of the generalized boundary conditions for different systems using the BAM method, but the corresponding solutions and dynamics have not been widely studied. We consider a theoretical two dimensional system made of two incompressible fluids separated by a deformable interface for which the boundary conditions are obtained using the BAM method. Ignoring the effects of external forces, the dynamics of the system is investigated using the method of multiple scales. The hierarchy of equations is solved up to the second order and we obtain conditions that must be fulfilled by the transport coefficients modeling the cross‐effects of the velocity slips and temperature jumps so that non‐trivial asymptotic solutions for the temperature and velocity profiles can be constructed.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7824