The membrane of biological cells consists of tightly packed lipid molecules with hydrophilic heads facing the exterior and interior fluids and hydrophobic tails hiding in the middle, forming a bilayer structure. Most cell membranes (and other biological membranes) can deform but resist area dilation and are often modelled as incompressible fluid interfaces [12]. The aqueous solution outside the...

The existing viscous and incompressible theory of isothermal sound propagation attenuation in suspensions considers solid particles which are infinitely viscous. We extend the by applying amended Coriolis flowmeter “bubble theory”. Here, drag force is a function both fluid particle Stokes numbers particle-to-fluid ratio dynamic viscosity (Galindo Gerbeth, 1993). Aerosol hydrosol examples presen...

In this paper we consider a free boundary problem that describes the motion of two viscous incompressible capillary Newtonian fluids. The fluids are separated by an interface that is unknown and has to be determined as part of the problem. Let Ω1(0) ⊂ Rn+1 (n > 1) be a region occupied by a viscous incompressible fluid, fluid1, and letΩ2(0) be the complement of the closure ofΩ1(0) in Rn+1, corre...

This article presents the heat and mass transfer characteristics of unsteady MHD flow of a viscous, incompressible and electrically conducting micropolar fluid in the presence of viscous dissipation and radiation over a porous stretching sheet with chemical reaction. The governing partial differential equations (PDEs) are reduced to ordinary differential equations (ODEs) by applying suitable si...

A Lagrangian method that combines vortices and impulse elements (vortex dipoles) is introduced. The applications addressed are flows induced by the motion of thin flexible boundaries immersed in a two-dimensional incompressible fluid. The impulse elements are attached to the boundaries and are used to account for the forces affecting the motion. The vortices occupy a region surrounding the boun...