Neetu Srivastava

Analysis of Flow Characteristics of the Blood Flowing through an Inclined Tapered Porous Artery with Mild Stenosis under the Influence of an Inclined Magnetic Field.

Analytical investigation of MHD blood flow in a porous inclined stenotic artery under the influence of the inclined magnetic field has been done. Blood is considered as an electrically conducting Newtonian fluid. The physics of the problem is described by the usual MHD equations along with appropriate boundary conditions. The flow governing equations are finally transformed to nonhomogeneous second-order ordinary differential equations. This model is consistent with the principles of magnetohydrodynamics. Analytical expressions for the velocity profile, volumetric flow rate, wall shear stress, and pressure gradient have been derived. Blood flow characteristics are computed for a specific set of values of the different parameters involved in the model analysis and are presented graphically. Some of the obtained results show that the flow patterns in converging region (ξ < 0), diverging region (ξ > 0), and nontapered region (ξ = 0) are effectively influenced by the presence of magnetic field and change in inclination of artery as well as magnetic field. There is also a significant effect of permeability on the wall shear stress as well as volumetric flow rate.

MHD Flow of the Micropolar Fluid between Eccentrically Rotating Disks

This analytical investigation examines the magnetohydrodynamic flow problem of an incompressible micropolar fluid between the two eccentrically placed disks. Employing suitable transformations, the flow governing partial differential equations is reduced to ordinary differential equations. An exact solution representing the different flow characteristic of micropolar fluid has been derived by solving the ordinary differential equations. Analysis of the flow characteristics of the micropolar fluid has been done graphically by varying the Reynolds number and the Hartmann number. This analysis has been carried out for the weak and strong interactions.

Effect of Permeability on the Rayleigh-Type Acoustic Streaming

A theory is developed for the boundary layer analysis of the passive methods to control the noise. The emphasis through the present treatment is on the materials where fluid and solid are of comparable densities for instance in case of water-saturated rocks. It is found that the flow may be described by two non-dimensional parameters and a characteristic frequency.

Flow of a viscous fluid past a heterogeneous porous sphere at low Reynolds numbers

A flow past a heterogeneous porous sphere is investigated by using the perturbation theory. The flow through the sphere is divided into two zones, which are fully saturated with the viscous fluid, and the flow in these zones is governed by the Brinkman equation. The space outside the sphere, where a clear fluid flows, is also divided into two zones: the Navier–Stokes zone and the Oseen flow zone. The solutions on the interface inside the sphere are matched with the condition proposed by Merrikh and Mohammad. The stream function in the Navier–Stokes zone is matched with that on the sphere surface by the condition proposed by Ochoa-Tapia and Whitaker. It is found that the drag on the spherical shell decreases as the permeability toward the sphere boundary increases.

The Casson fluid model for blood flow through an inclined tapered artery of an accelerated body in the presence of magnetic field

This paper deals with the analytical investigation of Casson model for axisymmetric pulsatile blood flow through an inclined stenosed artery of a periodically accelerated body under the influence of a magnetic field. Invoking suitable transformations, the flow governing partial differential equations are non-dimensionalised. For these non-dimensionalised equations, an exact solution representing the different flow characteristic has been derived by employing the perturbation method. Plug flow radius, plug flow velocity, flow rate and impedance analysis of the Casson fluid have been done graphically by varying the yield stress, inclination of artery, body acceleration and pressure gradient. Some important results are obtained pertaining to the medical interest.