This communication investigates the unsteady flow of viscous incompressible fluid through porous medium induced by periodically heated half filled concentric cylindrical annulus placed horizontally. The boundaries of the annulus are rotating periodically with different angular velocities in the same or opposite directions about their common axis. The governing equations are expressed in terms o...

In this paper, we study the blood flow in the real model of the right coronary artery -bypass graft system under the real pulsatile condition. The human blood is assumed as an incompressible Non-Newtonian fluid and its flow is modeled by the unsteady state Navier-Stokes equations and the continuity equation. The effect of the existence and intensity of a stenosis in the right coronary artery on...

The aim of this paper is to investigate twodimensional unsteady flow of a viscous incompressible fluid about stagnation point on permeable stretching sheet in presence of time dependent free stream velocity. Fluid is considered in the influence of transverse magnetic field in the presence of radiation effect. Rosseland approximation is use to model the radiative heat transfer. Using time-depend...

Potential flows of incompressible fluids admit a pressure (Bernoulli) equation when the divergence of the stress is a gradient as in inviscid fluids, viscous fluids, linear viscoelastic fluids and second-order fluids. We show that in potential flow without boundary layers the equation balancing drag and acceleration is the same for all these fluids, independent of the viscosity or any viscoelas...

Without any smallness assumption, we prove the global unique solvability of 2-D incompressible inhomogeneous Navier-Stokes equations with initial data in critical Besov space, which is almost energy space sense that they have same scaling terms this system.

We develop a multirate timestepper for semi-implicit solutions of the unsteady incompressible Navier-Stokes equations (INSE) based on recently-developed multidomain spectral element method (SEM). For {\em incompressible} flows, timestepping (MTS) is particularly challenging because tight coupling implied by incompressibility constraint, which manifests as an elliptic subproblem pressure at each...

The semigeostrophic equations are a simple model of large-scale atmosphere/ocean flows, where ’large-scale’ is defined to mean that the flow is rotation-dominated, [4]. They are also accurate in the case where one horizontal scale becomes small, allowing them to describe weather fronts and jet streams. Previous work by J.-D. Benamou and Y. Brenier, [2], and Cullen and Gangbo, [5], and Cullen an...

Finite-element modeling of self-sustained vocal fold oscillations during voice production has mostly considered the air as incompressible, due to numerical complexity. This study overcomes this limitation and studies influence compressibility on phonatory pressures, flow vibratory characteristics. A two-dimensional finite-element model is used, which incorporates layered structure, collisions, ...