Viscous flow and surface films

Viscous flow over a chemically patterned surface.

The classical fluid dynamics boundary condition of no slip suggests that variation in the wettability of a solid should not affect the flow of an adjacent liquid. However, experiments and molecular dynamics simulations indicate that this is not the case. In this paper we show how flow over a solid substrate with variations of wettability can be described in a continuum framework using the inter...

Viscous Flow Behavior of low-calorie pistacjio butter:A response surface methodoligy

Stagnation-point flow of a viscous fluid towards a stretching surface with variable thickness and thermal ‎radiation‎

‎In the present analysis‎, ‎we study the boundary layer flow of an incompressible viscous fluid near the two-dimensional stagnation-point flow over a stretching surface‎. ‎The effects of variable thickness and radiation are also taken into account and assumed that the sheet is non-flat‎. ‎Using suitable transformations‎, ‎the governing partial differential equations are first converted to ordin...

Interaction between surface shape and intra-surface viscous flow on lipid membranes.

The theory of intra-surface viscous flow on lipid bilayers is developed by combining the equations for flow on a curved surface with those that describe the elastic resistance of the bilayer to flexure. The model is derived directly from balance laws and augments an alternative formulation based on a variational principle. Conditions holding along an edge of the membrane are emphasized, and the...

Viscous and Viscoelastic Potential Flow

Potential flows of incompressible fluids admit a pressure (Bernoulli) equation when the divergence of the stress is a gradient as in inviscid fluids, viscous fluids, linear viscoelastic fluids and second-order fluids. We show that the equation balancing drag and acceleration is the same for all these fluids independent of the viscosity or any viscoelastic parameter and that the drag is zero in ...