A Study of Oil Displacement on Model Surfaces

Basu, Suddhasatwa; Nandakumar, K.; Masliyah, Jacob H.

doi:10.1006/jcis.1996.0439

Cited by 94 publications

(76 citation statements)

References 16 publications

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“…For the systems considered here an obvious choice for the macroscopic characteristic length is the average channel radius. In previous drop spreading studies (21)(22)(23)) the microscopic slip length was found to range from approximately 1 to 5 µm. Numerical experiments conducted here revealed that within this range the choice of the microscopic slip length does not significantly affect the overall result; thus for consistency all simulations were conducted with s = 1 µm.…”

Section: Interface Tracking Approachmentioning

confidence: 95%

Numerical Simulations of Capillary-Driven Flows in Nonuniform Cross-Sectional Capillaries

Erickson

Park

2002

Journal of Colloid and Interface Science

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Section: Interface Tracking Approachmentioning

confidence: 95%

Numerical Simulations of Capillary-Driven Flows in Nonuniform Cross-Sectional Capillaries

Erickson

Park

2002

Journal of Colloid and Interface Science

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“…Equation [7] implies that the larger the bubble's contact diameter, the larger the drag force. It also shows that the drag force is inversely proportional to microchannel height h. This may be understood by noting that the magnitude of the pressure gradient in the channel is inversely proportional to h 3 .…”

Section: Figmentioning

confidence: 98%

Detachment of Bubbles in Slit Microchannels by Shearing Flow

Blackmore

Gao

2001

Journal of Colloid and Interface Science

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“…The de Gennes framework for dissipative losses has recently been employed successfully to model wetting behavior in a number of cases [19,20,23]. In his work [24] de Gennes concluded that for low-speed spreading the hydrodynamic losses dominate over molecular forces and derived the following formula for the viscous force per unit length of three-phase line:…”

Section: Boundary Mo6ement Work W Bmentioning

confidence: 99%

An energy balance approach to modeling the hydrodynamically driven spreading of a liquid drop

Erickson

Blackmore

2001

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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This paper extends the overall energy balance (OEB) approach to the modeling of liquid drop spreading to cases where the primary motive force is hydrodynamic in nature. In such cases the mass, and therefore total energy, of the system varies with time thus invalidating previous OEB models. By relating the change in internal energy of the drop with the energy entering the system, changes in potential energy and work done by the system, a non-linear first-order ordinary differential equation has been developed which describes the drop spreading process for the case of a spherical cap of constant dynamic contact angle and constant mass flow rate. To provide validation data for the model, an experimental study has also been undertaken. In these experiments the Axisymmetric Drop Shape Analysis technique has been used to monitor the changing contact angle and contact radius of the drop as it advances across a solid surface. The solution of the ODE is shown to be in very good agreement with the experimental results, until such time as the drop grows to beyond the range where the spherical cap approximation is valid. A comparison of the magnitude of the energetic terms has revealed that the major deterrent to drop spreading is the work required to increase the surface area of the drop. In the case of slow speed spreading, it is shown that the viscous dissipation at the three-phase line is negligible, leading to a model completely free of any empirically determined curve fitting factors.

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A Study of Oil Displacement on Model Surfaces

Cited by 94 publications

References 16 publications

Numerical Simulations of Capillary-Driven Flows in Nonuniform Cross-Sectional Capillaries

Numerical Simulations of Capillary-Driven Flows in Nonuniform Cross-Sectional Capillaries

Detachment of Bubbles in Slit Microchannels by Shearing Flow

An energy balance approach to modeling the hydrodynamically driven spreading of a liquid drop

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