Deformation and Detachment of Crude Oil Droplet in the Presence of Different Concentration of Surfactant from Solid Substrate

SCHLEIZER A.D. AND ROGER BONNECAZE R. T (1998) explained the dynamic behaviour and stability of a twodimensional immiscible droplet subject to shear or pressure-driven flow between parallel plates was studied under conditions of negligible inertial and gravitational forces. The droplet is attached to the lower plate and forms two contact lines that are either fixed or mobile. The boundary-integral method was used to numerically determine the flow along and dynamics of the free surface. For surfactant-free interfaces with fixed contact lines, the deformation of the interface was determined for a range of capillary numbers, droplet to displacing fluid viscosity ratios, droplet sizes and flow type. FENG.J.Q. AND BASARAN O.A. (1994) described Steady states of a translationally-symmetric cylindrical bubble protruding from a slot in a solid wall into a liquid undergoing a simple shear flow were investigated. Deformations of and the flow past the bubble were determined by solving the nonlinear free-boundary problem comprised of the two-dimensional Navier-Stokes system by the Galerk infinite element method. Under conditions of creeping flow, the results of finite element computations were shown to agree well with asymptotic results. When the Reynolds number Re is finite, flow separated from the free surface and a recalculating eddy was formed behind the bubble.

 DIMITRAKOPOULOS P. AND HIGDON J.J.L (2000) described the yield conditions for the displacement of threedimensional fluid droplets adhering to a plane solid boundary in pressure driven flows which were studied through a series of numerical computations.

 DING H. AND SPELT P.D.M. (2007) investigated the critical conditions for the onset of motion of a three-dimensional droplet on a wall in shear flow at moderate Reynolds number. A diffuse-interface method was used for this purpose, which also circumvents the stress singularity at the moving contact line, and the method allowed for a density and viscosity contrast between the fluids. SPELT P.D.M. (2006) described that when the numerical simulations were presented to shear flow past two-dimensional droplets adhering to a wall, at moderate Reynolds numbers. The results were obtained using a level-set method to track the interface, with measures to eliminate any errors in the conservation of mass of droplets. First, the case of droplets whose contact lines are pinned is considered. Data are presented for the critical value of the dimensionless shear rate (Weber number, We), beyond which no steady state was found, as a function of Reynolds number, Re. We and Re are based on the initial height of the droplet and shear rate.