Narrow Results

The application of lattice-Boltzmann methods to electroviscous transport problems is discussed, generalising the moment propagation method for convective-diffusion problems. As a simple application, electro-osmotic flow in a parallel-sided slit is analysed, and the results compared favourably with available analytic solutions for this geometry.

A mathematical model is developed to analyze electro-kinetic effects on unsteady peristaltic transport of blood in cylindrical vessels of finite length. The Newtonian viscous model is adopted. The analysis is restricted under Debye–Hückel linearization (i.e., wall zeta potential $\le$ 25mV) is sufficiently small). The transformed, nondimensional conservation equations are derived via lubrication theory and long wavelength and the resulting linearized boundary value problem is solved exactly. The case of a thin electric double layer (i.e., where only slip electro-osmotic velocity considered) is retrieved as a particular case of the present model. The response in pumping characteristics (axial velocity, pressure gradient or difference, volumetric flow rate, local wall shear stress) to the influence of electro-osmotic effect (inverse Debye length) and Helmholtz–Smoluchowski velocity is elaborated in detail. Visualization of trapping phenomenon is also included and the bolus dynamics evolution with electro-kinetic effects examined. A comparative study of train wave propagation and single wave propagation is presented under the effects of thickness of EDL and external electric field. The study is relevant to electrophoresis in haemotology, electrohydrodynamic therapy and biomimetic electro-osmotic pumps.

A precise model is presented to designate the curvature effects in electroosmotic flow classifications to organize flow in a curved micro-vessel. Heat transfer analysis is also considered under the viscous dissipation effect. Lubrication scheme, Debye–Hückel estimation, and suitable boundary conditions have been employed to arising nonlinear system. The coupled nonlinear PDEs are solved numerically using Mathematica software. The obtained numerical results for electric potential, stream function, pressure gradient, axial velocity, temperature and shear stress are displayed through graphical illustrations. Trapping for blood flow under the effects of physical parameter is also discussed. The annotations also demonstrate the silent features of the micro-mixer peristaltic pumps and chip devices which may additionally be exploited in hemodialysis and judgement of samples respectively.

This is the first paper that explains electro-osmotically modulated hemodynamic inside a stenosed artery, considering both cases of symmetric and nonsymmetric shapes of stenosis. Blood is treated as an aqueous ionic solution. The energy equation incorporates viscous dissipation as well as Joule heating effects. Exact solutions are calculated for governing equations subject to “no slip” boundary conditions. These solutions are further discussed through graphical results. The flow pattern for symmetric and nonsymmetric stenosis is visualized by plotting streamlines for this flow problem.