Electrohydrodynamic Stability of Two Superposed Viscous Fluids

Effect of disjoining pressure on the drainage and relaxation dynamics of liquid films with mobile interfaces

“…This approach is known in the literature as the body force approach [20][21][22][23][24][25][26]. The body force approach applied for ionic solutions leads to very complex mathematical problems [5,16,[48][49][50][51]. Many other types of surface forces are theoretically and experimentally investigated in the literature (the steric repulsion, the hydrophobic attraction, the oscillatory structural forces, etc.).…”

Nonlinear EHD Stability of the Interfacial Waves of Two Superposed Dielectric Fluids

“…ElectrohyWe assume that the quasi-static approximation is valid, so drodynamic instability at the interface between two fluids that the electric field E is irrotational. The electric potentials stressed by an initially perpendicular electric field has received c (1), (2) are defined so that attention in the context of many and varied physical configurations (Melcher and Smith (31), Melcher (32), Kath and Ho- (23), and Mohamed et al (35)). The extension of the above linear problem to include the effect of finite amplitude has been considered by various authors: for conducting fluids The basic equations relevant to our problem are by Melcher (29), Michael (33), Shivamoggi (43) and Kant et al (22); for dielectric fluids by Mohamed and Elshehawey f…”

Numerical Modeling of Microfluidic Two-Phase Electrohydrodynamic Instability

“…Mohamed et al [20] examined the electrohydrodynamic stability of an interface, formed by an upper conducting fluid and a lower dielectric fluid of different viscosities and densities, which is subjected to a normal electric field between two parallel plates. A long-wave asymptotic analysis was performed for a plane Couette-Poiseuille base flow.…”