Simultaneous effects of slip and heat transfer on peristaltic transport of an incompressible electrically conducting viscous fluid  in an  asymmetric channel is studied under the assumptions of long wavelength and low Reynold number .The  asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase.Exect solutions for stream function,velocity ...

We have developed a fluid-mechanical model of a eucaryotic axoneme that couples the internal force generation of dynein molecular motors, the passive elastic mechanics of microtubules, and forces due to nexin links with a surrounding incompressible fluid. This model has been used to examine both ciliary beating and flagellar motility. In this article, we show preliminary simulation results for ...

The evolution of the classical viscous incompressible fluid flow is governed by the NavierStokes equation (NSE). The theory regarding the qualitative properties of solutions to the NSE is far from being complete. For instance, the global regularity for the 3D NSE has been a longstanding open problem. My research has been mainly concerned with regularity problems, well/ill-posedness problems, th...

This paper is concerned with the motion of an incompressible, viscous fluid in a Hele–Shaw cell. The free surface is moving under the influence of gravity and the fluid is modelled using a modified Darcy law for Stokesian fluids. We combine results from the theory of quasilinear elliptic equations, analytic semigroups and Fourier multipliers to prove existence of a unique classical solution to ...

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We show that, for solutions of a model of two-dimensional, viscous, compressible fluid flow, curves which are initially transverse to the spatial boundary and across which the fluid density is discontinuous become tangent to the boundary instantaneously in time. We also show by similar techniques that, for the Euler equations of two-dimensional, inviscid, incompressible flow and for a large cla...

We consider a viscous incompressible fluid flow governed by the Stokes system. We assume that a finite number of small inhomogeneities (particles) are immersed in the fluid. The reciprocity gap functional is introduced to describe the boundary data. An asymptotic formula for the reciprocity gap functional is derived. The obtained formulas can form the basis for very effective computational iden...

The present paper is devoted to study the flow of an incompressible viscous, electrically conducting fluid (blood) in a rigid inclined circular tube in the presence of transverse magnetic field. The blood is considered to be Newtonian fluid. The analytical expression for velocity profile and flow rate are obtained. The velocity profile and flow rate for various values of Hartmann number and inc...

The smoothed particle hydrodynamics method has been deeply studied and validated for the past decades on a weakly-compressible fluid discretization for the Euler equations. Recently several authors have proposed the use of SPH truly-incompressible algorithms in the most varied domains of computational fluid dynamics. Within this technique, based on the projection method, a pressure Poisson equa...

We consider a uniformly rotating viscous incompressible fluid and estimate particle transport in the vertical direction (parallel to the rotation axis). We prove that for short time and regular initial data, strong rotation suppresses the vertical gradient of flow maps. The proof uses a diffusive Lagrangian formalism, and the suppression of the vertical gradient is a natural and direct byproduc...