9 research outputs found
On the Interface Formation Model for Dynamic Triple Lines
Full text linkThis paper revisits the theory of Y. Shikhmurzaev on forming interfaces as a
continuum thermodynamical model for dynamic triple lines. We start with the
derivation of the balances for mass, momentum, energy and entropy in a
three-phase fluid system with full interfacial physics, including a brief
review of the relevant transport theorems on interfaces and triple lines.
Employing the entropy principle in the form given in [Bothe & Dreyer, Acta
Mechanica, doi:10.1007/s00707-014-1275-1] but extended to this more general
case, we arrive at the entropy production and perform a linear closure, except
for a nonlinear closure for the sorption processes. Specialized to the
isothermal case, we obtain a thermodynamically consistent mathematical model
for dynamic triple lines and show that the total available energy is a strict
Lyapunov function for this system
On singular solutions of the initial boundary value problem for the Stokes system in a power cusp domain
No full textThe existence theorem for the steady Navier–Stokes problem in exterior axially symmetric 3D domains
No full textSome Recent Developments in Finding Systematically Conservation Laws and Nonlocal Symmetries for Partial Differential Equations
No full text
