The flow is assumed to be inviscid and irrotational. Surface tension between the fluid layers is included, but gravity is neglected. The results show two unstable modes: one mode associated with the interface between the elastic layer and the fluid (mode 1), and the other concentrated on the interface between the two fluids (mode 2). Figure The fluid undergoes planar shear flow between two atomically flat walls. For all simulations in this study, the fluid phase consists of N f = monomers. The interaction between any two fluid monomers is modelled via the truncated Lennard-Jones (LJ) potential V . Abstract. Two problems in pipe flow are discussed in which the stability of fluid–fluid interfaces plays an important role. A stability analysis for a simplified 2-D geometry is gas–liquid pipe flow different flow regimes occur. between two uniform superposed and streaming fluids through porous medium has been investigated by Sharma and Spanos (). Khan et al. () have studied the Kelvin-Helmholtz instability arising at the interface separating two superposed, viscous, electrically conducting fluids through a porous medium in the presence of a uniform two-dimensional.

In asymptotic analysis of the hydrodynamic stability of shear flows, the viscous effects enter through the modified Tietjens Function, which is used in the graphical determination of the eigenvalues. For neutral normal modes the argument of this function is real, and values of . Instability and transition to turbulence is studied in a shear layer between two streams of different salinities and velocities. The viscous layer between the two streams is 15–18 times thicker than the diffusion layer. When the initial layer Richardson number is low, the instability organizes the shear-layer vorticity into discrete lumps as in the homogeneous case. In this work, we examine the shear-banding flow in polymer-like micellar solutions with the generalized Bautista-Manero-Puig (BMP) model. The couplings between flow, structural parameters, and diffusion naturally arise in this model, derived from the extended irreversible thermodynamics (EIT) formalism. Full tensorial expressions derived from the constitutive equations of the model, in. Shear banding occurs in the flow of complex fluids: various types of shear thinning and shear thickening micelles solutions and liquid crystals. In order to cope with the strongly inhomogeneous interface between the bands, constitutive models used in .

Ion-neutral collisions may play a relevant role for the growth rate and evolution of the KHI in solar partially ionized plasmas such as in, e.g., solar prominences. Here, we investigate the linear phase of the KHI at an interface between two partially ionized magnetized plasmas in the presence of a shear flow. The region between these two points is named the boundary layer. For all Newtonian fluids in laminar flow, the shear stress is proportional to the strain rate in the fluid, where the viscosity is the constant of proportionality. For non-Newtonian fluids, the viscosity is not constant. The shear stress is imparted onto the boundary as a result. Using the energy-conserved quantity method developed by Arnol'd (Dokl. Mat. Nauk , (); Am. Math. Soc. Trans. 19, ()) a study was made of the nonlinear stability of two inviscid fluid flows in three dimensions: (1) flow of a homogeneous fluid and (2) flow of a fluid whose energy density depends on the mass density alone (a so-called barotropic fluid). Thus, the chapter on gas-liquid two-phase flow has been greatly extended to cover flow in the bubble regime as well as to provide an introduction to the homogeneous model and separated flow model for the other flow regimes.