The pulsatile flow of blood through catheterized arteries is analyzed by treating the blood as a two-fluid model with the suspension of all the erythrocytes in the core region as a non-Newtonian fluid and the plasma in the peripheral layer as a Newtonian fluid. The non-Newtonian fluid in the core region of the artery is represented by i Casson fluid and ii Herschel-Bulkley fluid. The expression...

The predilection of atherosclerotic lesions for specific sites in the arterial tree is believed to be related t o the wall shear stress, exerted by the blood flow. Measurement of the magnitude of the wall shear stress is difficult and is frequently determined by an extrapolation of the velocity field t o find the wall shear rate and an estimation of the viscosity of the fluid in the neighborhoo...

this paper presents the jeffery hamel flow of a non-newtonian fluid namely casson fluid. suitable similarity transform is applied to reduce governing nonlinear partial differential equations to a much simpler ordinary differential equation. variation of parameters method (vpm) is then employed to solve resulting equation. same problem is solved numerical by using runge-kutta order 4 method. a c...

The objective of this paper is to discuss the dynamical instability in the context of Newtonian and post Newtonian regimes. For this purpose, we consider non-viscous heat conducting charged isotropic fluid as a collapsing matter with cylindrical symmetry. Darmois junction conditions are formulated. The perturbation scheme is applied to investigate the influence of dissipation and electromagneti...

In this paper, the unsteady flow of non-Newtonian fluid through a porous medium when an external magnetic field is applied is investigated. The non linear equation of motion is transformed to a similarity differential equation which is solved using the method of successive approximations. The rheological effects are shown and discussed on the velocity profile in terms of rheological parameter o...

Pressure difference is an accepted clinical biomarker for cardiovascular disease conditions such as aortic coarctation. Currently, measurements of pressure differences in the clinic rely on invasive techniques (catheterization), prompting development of non-invasive estimates based on blood flow. In this work, we propose a non-invasive estimation procedure deriving pressure difference from the ...

An analysis is made to see the influences of Hall current on the flow of a Burgers’ fluid. The velocity field corresponding to flow in a pipe is determined. The closed form analytical solutions for several Newtonian and non-Newtonian fluid models can be obtained from the present analysis as the limiting cases. MIRAMARE – TRIESTE December 2005 Corresponding author: mkhan−[email protected] Junior Asso...

In this paper heat transfer of non-Newtonian fluid flow in an axisymmetric channel with porous wall is analyzed. Variational Iteration Method is used to get complete analytic solution for velocity and temperature profiles. Results show an acceptable agreement between this method results and numerical solution.Also the effects of different parameters are discussed through graphs. It can be found...

We study a numerical method for the simulation of free surface flows of viscoplastic (Herschel-Bulkley) fluids. The approach is based on the level set method for capturing the free surface evolution and on locally refined and dynamically adapted octree cartesian staggered grids for the discretization of fluid and level set equations. We consider an extension of the stable approximation of the N...