Dear Yang,
This is an interesting problem. I am a microfluidics researcher and have been working on similar problems.
I have some difficulties in defining the boundary conditions at the electrodes.
Electrode BC (for Conductive DC media):
cond n dphi/dy=iwC_DL (phi-V_applied)
Electrode BC (for Incompressible Navier-Stoke):
u_slip=-eA/4n d|phi-V_applied|^2/dx
(refer to document for equations)
Where does your difficulty lie? You have posed quite a general question.
I would be uncertain of how to implement derivative terms in the boundary condition. How are you extracting the other terms in your equations from your model, boundary integration? This paper provides some interesting further reading:
Green NG, Ramos A, Gonzalez A, Morgan H, Castellanos A (2002)
Fluid flow induced by nonuniform ac electric fields in electrolytes
on microelectrodes iii Observation of streamlines and
numerical simulation. Phys Rev E 66:026305
I am interested in finding a solution to this - so keep me in the loop.
Regards,
Tom
This is an interesting problem. I am a microfluidics researcher and have been working on similar problems.
I have some difficulties in defining the boundary conditions at the electrodes.
Electrode BC (for Conductive DC media):
cond n dphi/dy=iwC_DL (phi-V_applied)
Electrode BC (for Incompressible Navier-Stoke):
u_slip=-eA/4n d|phi-V_applied|^2/dx
(refer to document for equations)
Where does your difficulty lie? You have posed quite a general question.
I would be uncertain of how to implement derivative terms in the boundary condition. How are you extracting the other terms in your equations from your model, boundary integration? This paper provides some interesting further reading:
Green NG, Ramos A, Gonzalez A, Morgan H, Castellanos A (2002)
Fluid flow induced by nonuniform ac electric fields in electrolytes
on microelectrodes iii Observation of streamlines and
numerical simulation. Phys Rev E 66:026305
I am interested in finding a solution to this - so keep me in the loop.
Regards,
Tom