Stability analysis of an interface between immiscible liquids in Hele-Shaw flow in the presence of a magnetic field

Sinzato, Yuri Zeniti; Cunha, Francisco Ricardo

doi:10.1016/j.apm.2019.05.049

Cited by 6 publications

(3 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…VF is again classified into two groups according to the nature of fluids, i.e., miscible VF [20][21][22] and immiscible VF [23][24][25]. In the miscible VF, fluid pair is miscible to each other and the effect of surface tension is neglected at the interface of two fluids because surface tension is considered to be zero in this VF.…”

Section: Introductionmentioning

confidence: 99%

“…Controlling (enhancing or damping) the viscous fingering is studied into two parts: active control and passive control. In the active control [23][24][25][26], external surface forces such as electric field force and magnetic field force are imposed against hydrodynamic interfacial instabilities to control the viscous fingering. Flament et al [23] investigated the effect of the magnetic force on radial viscous fingering.…”

Section: Introductionmentioning

confidence: 99%

“…ey observed that hydrodynamic instability between magnetic fluid and air may be suppressed by external magnetic force. Sinzato and Cunha [24] imposed an external magnetic field against the rectilinear viscous fingering.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Triggering the Splitting Dynamics of Low-Viscous Fingers through Surface Wettability Inside Bifurcating Channel

Singh

Pandey

Singh

2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

This work presents the splitting dynamics of low-viscous fingers inside the single bifurcating channel through the surface wettability of daughter branches. The propagation of low-viscous fingers inside branching microchannels have importance in many applications, such as microfluidics, biofluid mechanics (pulmonary airway reopening), and biochemical testing. Several numerical simulations are performed where a water finger propagates inside the silicon oil-filled bifurcating channel, and at the bifurcating tip, it splits into two fingers and these fingers propagate into the separate daughter branches. It is noticed that the behaviour of finger splitting at the bifurcating tip depends upon numerous parameters such as surface wettability, capillary number, viscosity ratio, and surface tension. This study aims to trigger the behaviour of finger splitting through the surface wettability of daughter branches θ 1 , θ 2 . Therefore, a series of numerical simulations are performed by considering four different surface wettability configurations of daughter branches, i.e., θ 1 , θ 2 ∈ 78 ° , 78 ° ; 78 ° , 118 ° ; 78 ° , 150 ° ; 150 ° , 150 ° . According to the results obtained from numerical simulations, finger splitting may be categorized into three types based on splitting ratio λ , i.e., symmetrical splitting, nonsymmetrical splitting, and reversal (no) splitting. It is noticed that the surface wettability of both daughter branches is either hydrophilic 78 ° , 78 ° or superhydrophobic 150 ° , 150 ° , providing symmetrical splitting. The surface wettability of one of the daughter branches is hydrophilic and another is hydrophobic 78 ° , 118 ° , providing nonsymmetrical splitting. The surface wettability of one of the daughter branches is hydrophilic and another is superhydrophobic 78 ° , 150 ° , providing reversal splitting. The findings of this investigation may be incorporated in the fields of biochemical testing and occulted pulmonary airways reopening as well as respiratory diseases such as COVID-19.

show abstract