scholarly journals Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field

2008 ◽  
Vol 2008 ◽  
pp. 1-23 ◽  
Author(s):  
Kh. S. Mekheimer
Keyword(s):  
Magnetic Field ◽  
Current Distribution ◽  
Micropolar Fluid ◽  
Magnetic Force ◽  
Flow Analysis ◽  
Pressure Rise ◽  
Shear Stresses ◽  
Induced Magnetic Field ◽  
Symmetric Channel ◽  
Axial Pressure Gradient

We carry out the effect of the induced magnetic field on peristaltic transport of an incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effect of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines are further discussed.

Effect of an Induced Magnetic Field on the Peristaltic Motion of Phan-Thien-Tanner (PTT) Fluid

2010 ◽  
Vol 65 (8-9) ◽  
pp. 665-676 ◽  
Author(s):  
Tasawar Hayat ◽  
Saima Noreen ◽  
Nasir Ali
Keyword(s):  
Magnetic Field ◽  
Magnetic Force ◽  
Pressure Rise ◽  
Problem Formulation ◽  
Peristaltic Flow ◽  
Frame Of Reference ◽  
Peristaltic Motion ◽  
Induced Magnetic Field ◽  
Mathematical Relations ◽  
Ptt Fluid

This article looks at the influence of an induced magnetic field on peristaltic motion of an incompressible fluid in a planar channel with non-conductive walls. Peristaltic flow is generated by a sinusoidal wave travelling down its walls. The problem formulation in a wave frame of reference moving with velocity of wave is established. Mathematical relations for the stream function, pressure gradient, magnetic force function, and axial induced magnetic field are constructed. The pressure rise and frictional force are discussed by performing numerical integration. Effects of many sundry parameters entering into the governing problem are examined by plotting graphs

Induced Magnetic Field Effects on Peristaltic Flow in a Curved Channel

2015 ◽  
Vol 70 (1) ◽  
pp. 3-9 ◽  
Author(s):  
Saima Noreen
Keyword(s):  
Magnetic Field ◽  
Magnetic Force ◽  
Flow Analysis ◽  
Peristaltic Flow ◽  
Planar Channel ◽  
Magnetic Field Effects ◽  
Induced Magnetic Field ◽  
Curved Channel ◽  
Long Wavelength ◽  
Curvature Effects

AbstractThe peristaltic flow of an incompressible viscous fluid in a curved channel is investigated. The flow analysis is conducted in the presence of an induced magnetic field. A long-wavelength and low-Reynolds number approach is followed. The stream function, pressure gradient, magnetic force function, induced magnetic field, and current density are constructed. We observed that symmetry in the profiles of u and ϕ is disturbed because of curvature effects. For larger values of curvature k, results of planar channel are deduced. The effects of significant parameters have been portrayed and discussed.

scholarly journals Influence of an Inclined Magnetic Field and Rotation on the Peristaltic Flow of a Micropolar Fluid in an Inclined Channel

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Ajaz Ahmad Dar ◽  
K. Elangovan
Keyword(s):  
Magnetic Field ◽  
Micropolar Fluid ◽  
Numerical Solutions ◽  
Volume Flow Rate ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Inclined Magnetic Field ◽  
Symmetric Channel ◽  
Highly Nonlinear

This present article deals with the interaction of both rotation and inclined magnetic field on peristaltic flow of a micropolar fluid in an inclined symmetric channel with sinusoidal waves roving down its walls. The highly nonlinear equations are simplified by adopting low Reynolds number and long wavelength approach. The analytical and numerical solutions for axial velocity, spin velocity, volume flow rate, pressure gradient, pressure rise per wavelength, and stream function have been computed and analyzed. The quantitative effects of various embedded physical parameters are inspected and displayed graphically with fussy prominence. Pressure rise, frictional forces, and pumping phenomenon are portrayed and characterized graphically.

Exact Solution for Peristaltic Transport of a Micropolar Fluid in a Channel with Convective Boundary Conditions and Heat Source/Sink

2014 ◽  
Vol 69 (8-9) ◽  
pp. 425-432 ◽  
Author(s):  
Tasawar Hayat ◽  
Humaira Yasmin ◽  
Bashir Ahmad ◽  
Guo-Qian Chen
Keyword(s):  
Heat Source ◽  
Boundary Conditions ◽  
Micropolar Fluid ◽  
Mathematical Formulation ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Axial Pressure Gradient ◽  
Source Sink

This paper investigates the peristaltic transport of an incompressible micropolar fluid in an asymmetric channel with heat source/sink and convective boundary conditions. Mathematical formulation is completed in a wave frame of reference. Long wavelength and low Reynolds number approach is adopted. The solutions for velocity, microrotation component, axial pressure gradient, temperature, stream function, and pressure rise over a wavelength are obtained. Velocity and temperature distributions are analyzed for different parameters of interest

Consequence of induced magnetic field on peristaltic motion of a Carreau nanofluid in a tapered asymmetric channel

2017 ◽  
Vol 27 (9) ◽  
pp. 1986-2014 ◽  
Author(s):  
M. Kothandapani ◽  
V. Pushparaj
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Magnetic Force ◽  
Force Function ◽  
Asymmetric Channel ◽  
Mean Flow ◽  
Induced Magnetic Field ◽  
Regular Perturbation ◽  
Content Type ◽  
Carreau Nanofluid

Purpose This paper aims to investigate the consequence of the combined impacts of an induced magnetic field and thermal radiation on peristaltic transport of a Carreau nanofluid in a vertical tapered asymmetric channel. The model applied for the nanofluid comprises the effects of Brownian motion and thermophoresis. Design/methodology/approach The governing equations have been simplified under the widespread assumption of long-wavelength and low-Reynolds number approximations. The reduced coupled nonlinear equations of momentum and magnetic force function have also been solved analytically using the regular perturbation method. Findings The physical features of emerging parameters have been discussed by drawing the graphs of velocity, temperature, nanoparticle concentration profile, magnetic force function, current density, heat transfer coefficient and stream function. It has been realized that the magnetic force function is increased with the increase of Hartmann number, magnetic Reynolds number and mean flow rate. Originality/value It may be first paper in which the effect of induced magnetic field on peristaltic flow of non-Newtonian nanofluid in a tapered asymmetric channel has been studied.

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