The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls

The peristaltic flow of a Jeffrey fluid in an asymmetric channel is studied under long wavelength and low Reynolds number assumptions. The fluid is electrically conducting by a transverse magnetic field. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The expressions for stream function, axial velocity and axial pressure gradient have been obtained. The effects of various emerging parameters on the flow characteristics are shown and discussed with the help of graphs. The pumping characteristics, axial pressure gradient and trapping phenomenon have been studied. Comparison of various wave forms (namely sinusoidal, triangular, square and trapezoidal) on the flow is discussed.

Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel

The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport

Bifurcation analysis of modified Leslie–Gower predator–prey model with Michaelis–Menten type prey harvesting

On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium

http://home.iitk.ac.in/~peeyush/pdf/amm_pm_bvrk_pc.pdf

Peristaltic motion of micropolar fluid in circular cylindrical tubes : Effect of wall properties

We carry out a study of the peristaltic motion of an incompressible micropolar fluid in a two-dimensional channel. The effects of viscoelastic wall properties and micropolar fluid parameters on the flow are investigated using the equations of the fluid as well as of the deformable boundaries. A perturbation technique is used to determine flow characteristics. The velocity profile is presented and discussed briefly. We find the critical values of the parameters involving wall characteristics, which cause mean flow reversal.

/pdf/on-the-influence-of-wall-properties-in-the-peristaltic-4cd1ai92xk.pdf

On the influence of wall properties in the peristaltic motion of micropolar fluid

The oscillatory flow of micropolar fluid in an annular region with constriction, provided by variation of the outer tube radius, is investigated. It is assumed that the local constriction varies slowly over the cross-section of the annular region. The nonlinear governing equations of the flow are solved using a perturbation method to determine the flow characteristics. The effect of micropolar fluid parameters on mean flow and pressure variables is presented.

A study of micropolar fluid in an annular tube with application to blood flow

Oscillatory flow of a micropolar fluid in an annular tube is investigated. The outer wall of the tube is taken to be elastic and the variation in the diameter of the elastic wall due to pulsatile nature of pressure gradient is assumed to be small. The wall motion is governed by a tube law. The nonlinear equations governing the fluid flow and the tube law are solved using perturbation analysis. The steady-streaming phenomenon due to the interaction of convected inertia with viscous effects is studied. The analysis, is carried out for zero mean flow rate. It presents the effects of the elastic nature of the wall combined with micropolar fluid parameters on the mean pressure gradient and wall shear stress for different catheter sizes and frequency parameters. It is found that the effect of micropolarity is of considerable importance for small steady-streaming Reynolds number. Also, it is observed that the relationship between mean pressure gradient and the flow rate depends on the amplitude of the diameter variation, flow rate waveforms and the phase difference between them.

/pdf/effect-of-elastic-wall-motion-on-oscillatory-flow-of-1u8xh88x1r.pdf

Effect of elastic wall motion on oscillatory flow of micropolar fluid in an annular tube

The steady flow of an electrically conducting, incompressible couple stress fluid in an annular region between two concentric rotating vertical circular cylinders, with porous lining inside the outer cylinder, imposing an external radial magnetic field is considered. We employ Beavers and Joseph slip condition at the porous lining boundary. Expressions for azimuthal velocity, slip velocity and the coefficient of skin friction on the cylinders are obtained numerically by employing central finite difference scheme with vanishing couple stresses of type A condition or super adherence condition of type B on the boundary. The effects of various couple stress parameters on azimuthal velocity, slip velocity and the coefficient of skin friction on inner and outer cylinders are depicted through graphs.

P. Muthu

Papers

Peristaltic motion of micropolar fluid in circular cylindrical tubes : Effect of wall properties

On the influence of wall properties in the peristaltic motion of micropolar fluid

A study of micropolar fluid in an annular tube with application to blood flow

Effect of elastic wall motion on oscillatory flow of micropolar fluid in an annular tube

Finite difference solution for mhd flow of couple stress fluid between two concentric rotating cylinders with porous lining