2,041 research outputs found
Steady streaming in a channel with permeable walls
We study steady streaming in a channel between two parallel permeable walls
induced by oscillating (in time) blowing/suction at the walls. We obtain an
asymptotic expansion of the solution of the Navier-Stokes equations in the
limit when the amplitude of the normal displacements of fluid particles near
the walls is much smaller that both the width of the channel and the thickness
of the Stokes layer. It is demonstrated that the magnitude of the steady
streaming is much bigger than the corresponding quantity in the case of the
steady streaming produced by vibrations of impermeable boundaries.Comment: 10 pages, 1 figur
Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids
We consider a thermodynamically consistent diffuse interface model describing
two-phase flows of incompressible fluids in a non-isothermal setting. This
model was recently introduced in a previous paper of ours, where we proved
existence of weak solutions in three space dimensions. Here, we aim at studying
the mathematical properties of the model in the two-dimensional case. In
particular, we can show existence of global in time strong solutions. Moreover,
we can admit slightly more general conditions on some material coefficients of
the system
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