Interaction of Pulsatile Flow on the Peristaltic Motion of a Magneto-micropolar Fluid through Porous Medium in a Flexible Channel: Blood Flow Model
نویسندگان
چکیده
We carry out the effect of the pulsatile flow on peristaltic motion of an incompressible conducting micropolar fluid through porous medium in a channel bounded by flexible walls.Problem formulation in a wave frame of reference is presented. An oscillatory time dependent flux is being imposed on the peristaltic flow. The non-linear equations governing the flow through porous medium under the effect of a constant magnetic field are solved by using the perturbation method to the second-order in the Womersley number. Explicit expressions of the pressure gradient, the stream function and the micro-rotation velocity are derived. Numerical calculations are carried out for the pressure rise and friction force on the wall. Also we study the effect of the embedded parameters on the axial fluid velocity. The features of the flow characteristics are analyzed by plotting graphs and discussed in detail. A motiReceived: October 31, 2013 c © 2014 Academic Publications, Ltd. url: www.acadpubl.eu 324 Kh.S. Mekheimer, M.S. Mohamed vation of the present analysis is the hope that such a problem will be applicable in many clinical applications. AMS Subject Classification: 53C11, 76S05
منابع مشابه
Numerical Simulation of Micropolar Flow in a Channel under Osciatory Pressure Gradient
We numerically investigate the pulsatile flow and heat transfer of a micropolar fluid through a Darcy-Forchhmeir porous channel in the presence of wall transpiration. We use the central difference approximations for the spatial derivatives, whereas the time integration has been performed by employing the three steps explicit Runge-Kutta method to obtain the numerical solution. It i...
متن کاملHeat and Mass Transfer Analysis on MHD Peristaltic Prandtl Fluid Model through a Tapered Channel with Thermal Radiation
This paper deals with a theoretical investigation of heat and mass transfer with thermal radiation analysis on hydromagnetic peristaltic Prandtl fluid model with porous medium through an asymmetric tapered vertical channel under the influence of gravity field. Analytical results are found for the velocity, pressure gradient, pressure rise, frictional force, temperature and concentration. The in...
متن کاملInfluence of an external magnetic field on the peristaltic flow of a couple stress fluid through a porous medium.
Magnetohydrodynamic(MHD) peristaltic flow of a Couple Stress Fluid through a permeable channel is examined in this investigation. The flow analysis is performed in the presence of an External Magnetic Field. Long wavelength and low Reynolds number approach is implemented. Mathematical expressions of axial velocity, pressure gradient and volume flow rate are obtained. Pressure rise, frictional f...
متن کاملStudy of Pulsatile Non-Newtonian Blood Flow Through Abdominal Aorta and Renal Arteries Incorporating Fluid- Structure Interaction
Background: The interaction between the blood and the vessel wall is of great clinical interest in studying cardiovascular diseases, the major causes of death in developed countries.Objective: To understand the effects of incorporating fluid-structure interaction into the simulation of blood flow through an anatomically realistic model of abdominal aorta and renal arteries reconstructed from CT...
متن کاملMHD thermal radiation and chemical reaction effects with peristaltic transport of the eyring-powell fluid through a porous medium
In this paper, we analyze the thermal radiation and chemical reaction impacts on MHD peristaltic motion of the Eyring-Powell fluid through a porous medium in a channel with compliant walls under slip conditions for velocity, temperature, and concentration. Assumptions of a long wave length and low Reynolds number are considered. The modeled equations are computed by using the perturbation metho...
متن کامل