We study the Doi model for suspensions of rod–like molecules. The Doi model couples a microscopic Fokker–Planck type equation (Smoluchowski equation) to the macroscopic Stokes equation. The Smoluchowski equation describes the evolution of the distribution of the rod orientations; it comes as a drift–diffusion equation on the sphere at every point in physical space. For sufficiently high macrosc...

Emerging bio-microfluidic systems are embracing electroosmosis mechanisms to supervise ionised physiological fluids. Impelled by the exploration of electro-micro-pumping in bio-engineering domains, present inquisition, a research policy associated with hemodynamical deportment blood circulation under suspension gold and alumina nanoparticles diverging fatty artery subject electro-osmotic drivin...

We present a formulation of mean-field approximation for layered feed-forward stochastic networks. In this formulation, one can obtain not only estimates of averages for state variables of the networks but also those of intra-layer correlations, the latter of which cannot be obtained by the conventional mean-field approximation. Moreover, this formulation provides a framework to treat “conditio...

The goal of this research is to conduct a theoretical investigation about the effect electroosmotic forces on swimming sperms throughout cervical canal. To imitate male semen with self-propulsive spermatozoa, hyperbolic tangent fluid used as base liquid. Swimming move inside ciliated canal and peristalsis occurs due walls. perturbation method solve controlling partial differential set equations...

In this work, we derive an analytical solution for heat transfer characteristics of a thermally developing flow of viscoelastic fluids under the application of an electroosmotic force. The walls are subjected to either in isothermal condition or a constant wall heat flux is employed. First, we derive a Helmholtz-Smoluchowski (HS) type slip velocity for the viscoelastic fluids, which is further ...

{ This paper studies a stochastic particle method for the numerical treatment of Smoluchowski equation governing the coagulation of particles in a host gas. Convergence in probability is established for the Monte Carlo estimators, when the number of particles tends to in nity. The deterministic limit is characterized as the solution of a discrete in time version of the Smoluchowski equation. Un...

The application of a nonuniform ac electric field to an electrolyte using coplanar microelectrodes results in steady fluid flow. The flow has its origin in the interaction of the tangential component of the nonuniform field with the induced charge in the electrical double layer on the electrode surfaces. Termed ac electro-osmosis, the flow has been studied experimentally and theoretically using...