On Non-Linear Magnetohydrodynamic Flow due to Peristaltic Transport of an Oldroyd 3-Constant Fluid

2006 ◽  
Vol 61 (5-6) ◽  
pp. 263-274 ◽  
Author(s):  
Mohamed H. Haroun
Keyword(s):  
Axial Velocity ◽  
Magnetic Parameter ◽  
Amplitude Ratio ◽  
Wave Train ◽  
Peristaltic Transport ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Viscoelastic Parameters ◽  
Reversal Flow ◽  
The Mean

In this work a theoretical analysis is presented for the problem of peristaltic transport of an incompressible Oldroyd 3-constant fluid in an infinite channel with flexible walls. The flow is induced by an infinite sinusoidal wave train moving along the walls of the channel. The fluid is electrically conducting and a magnetic field has been applied transversely to the flow. This problem has numerous applications in various branches of science. A perturbation solution of the stream function for zeroth-, first- and second-order in a small amplitude ratio is obtained. The obtained results are illustrated graphically to show salient features of the solutions. The effect of the magnetic parameter, the relaxation time and the retardation time on the mean axial velocity and the reversal flow is investigated. It is found that the possibility of flow reversal increases by increasing the magnetic parameter and viscoelastic parameters. The results show that the values of the mean axial velocity of an Oldroyd 3-constant fluid are less than these for a Newtonian fluid. Numerical results are reported for various values of the physical parameters of interest. - Mathematics Subject Classification: 76Z05

scholarly journals Effect of wall compliance on peristaltic transport of a Newtonian fluid in an asymmetric channel

2006 ◽  
Vol 2006 ◽  
pp. 1-19 ◽  
Author(s):  
Mohamed H. Haroun
Keyword(s):  
Amplitude Ratio ◽  
Wave Train ◽  
Equations Of Motion ◽  
Peristaltic Transport ◽  
Driving Mechanism ◽  
Mean Flow ◽  
Mean Velocity ◽  
Symmetric Channel ◽  
Reversal Flow ◽  
Wall Compliance

Peristaltic transport of an incompressible viscous fluid in an asymmetric compliant channel is studied. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phases. The fluid-solid interaction problem is investigated by considering equations of motion of both the fluid and the deformable boundaries. The driving mechanism of the muscle is represented by assuming the channel walls to be compliant. The phenomenon of the “mean flow reversal” is discussed. The effect of wave amplitude ratio, width of the channel, phase difference, wall elastance, wall tension, and wall damping on mean-velocity and reversal flow has been investigated. The results reveal that the reversal flow occurs near the boundaries which is not possible in the elastic symmetric channel case.

Peristaltic transport of a conducting Jeffrey fluid in an inclined asymmetric channel

2014 ◽  
Vol 07 (06) ◽  
pp. 1450064 ◽  
Author(s):  
K. Vajravelu ◽  
S. Sreenadh ◽  
G. Sucharitha ◽  
P. Lakshminarayana
Keyword(s):  
Flow Rate ◽  
Magnetic Parameter ◽  
Volume Flow Rate ◽  
Wave Train ◽  
Pressure Rise ◽  
Volume Flow ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Inclined Asymmetric Channel

Peristaltic flow of a conducting Jeffrey fluid in an inclined asymmetric channel is investigated. The channel asymmetry is produced by considering a peristaltic wave train on the flexible walls of the channel with different amplitudes and phases. The nonlinear governing equations are solved analytically by a perturbation technique. The expressions for the stream function, axial velocity and the pressure rise per wavelength are determined in terms of the Jeffrey number λ1, the Froude number Fr, the perturbation parameter δ, the angle of inclination θ and the phase difference ϕ. Effects of the physical parameters on the velocity field and the pumping characteristics are discussed. It is observed that the size of the trapping bolus increase with an increase in the magnetic parameter and the volume flow rate. That is, the magnetic parameter and the volume flow rate have strong influence on the trapping bolus phenomenon.

Analysis for Various Effects of Relaxation Time and Wall Properties on Compressible Maxwellian Peristaltic Slip Flow

2019 ◽  
Vol 74 (4) ◽  
pp. 317-331 ◽  
Author(s):  
Islam M. Eldesoky ◽  
Ramzy M. Abumandour ◽  
Essam T. Abdelwahab
Keyword(s):  
Relaxation Time ◽  
Axial Velocity ◽  
Graphical Representation ◽  
Amplitude Ratio ◽  
Compressibility Factor ◽  
Damping Factor ◽  
Wall Tension ◽  
Damping Force ◽  
Wall Properties ◽  
The Mean

AbstractThe present study is related to indicating the several effects of the relaxation time, dynamic behaviour of wall properties and slip conditions at the boundaries on the peristaltic locomotion of viscous non-Newtonian Maxwell fluid flow through a two-dimensional (2D) horizontal flexible sinusoidal wave-shaped channel. An approximated theoretical model is constructed. The solution of the governing equations is developed using the perturbation method. Small amplitude ratio “ratio between amplitude of the wave and half channel width” for the wavy transport is considered for describing the velocity and pressure distributions. Different factors of wall features such as damping force coefficient, wall tension parameter, wall bending coefficient and spring stiffness factor in addition to various flow parameters such as the compressibility factor, Reynolds number, slip coefficient and also the main parameter of interest relaxation time are involved in the mathematical calculations and discussed through graphical representation. Graphs for mean axial velocity, perturbation function and velocity at the wall distributions using the previous coefficients are plotted and then discussed in detail. Results indicate that wall properties, compressibility factor and relaxation time in the presence of peristaltic transport have a significant effect on velocity distributions. The damping factor, wall tension, slip parameter and relaxation time are reducing the mean axial velocity and raising the reversal flow but, the wall elasticity factor enhances the mean axial velocity. Also, the liquid compressibility has a strong effect on the dynamics of the flow.

scholarly journals Peristaltic transport in a cylindrical tube through a porous medium

2000 ◽  
Vol 24 (4) ◽  
pp. 217-230 ◽  
Author(s):  
Elsayed F. El Shehawey ◽  
Wahed El Sebaei
Keyword(s):  
Porous Medium ◽  
Physical Parameter ◽  
Axial Velocity ◽  
Amplitude Ratio ◽  
Cylindrical Tube ◽  
Fluid Phase ◽  
Momentum Equation ◽  
Numerical Results ◽  
Peristaltic Transport ◽  
Permeability Parameter

The problem of peristaltic transport in a cylindrical tube through a porous medium has been investigated. A perturbation solution is obtained, which satisfies the momentum equation for the case in which the amplitude ratio is small. The results show that the fluid phase mean axial velocity increases with increasing the permeability parameterk. The phenomena of reflux is discussed. Numerical results are reported for various values of the physical parameter

scholarly journals Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field

2005 ◽  
Vol 2005 (6) ◽  
pp. 663-677 ◽  
Author(s):  
Moustafa Elshahed ◽  
Mohamed H. Haroun
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Amplitude Ratio ◽  
Transverse Magnetic ◽  
Numerical Results ◽  
Perturbation Solution ◽  
Peristaltic Transport ◽  
Physical Parameters ◽  
Two Dimensional ◽  
Parameters Of Interest

The peristaltic transport of Johnson-Segalman fluid by means of an infinite train of sinusoidal waves traveling along the walls of a two-dimensional flexible channel is investigated. The fluid is electrically conducted by a transverse magnetic field. A perturbation solution is obtained for the case in which amplitude ratio is small. Numerical results are reported for various values of the physical parameters of interest.

scholarly journals Porosity and dissipative effects in Peristalsis of hydro-magneto nanomaterial: Application of biomedical treatment

2021 ◽  
Vol 13 (4) ◽  
pp. 168781402110118
Author(s):  
Samreen Sheriff ◽  
Nazir Ahmad Mir ◽  
Shakeel Ahmad ◽  
Naila Rafiq
Keyword(s):  
Axial Velocity ◽  
Wave Length ◽  
Main Tool ◽  
Graphical Analysis ◽  
Wave Form ◽  
Physical Parameters ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Dissipative Effects ◽  
Peristaltic Pumping

The non-uniformity value which currently many applications of magneto-hydrodynamics are found in medicine where drug deliverance happens through peristaltic pumping phenomena, various magnetic drugs are released to target tumor diseases and to control the drug flow movement to the desired area. Owing to these facts, the aims of this article is to examine the simultaneous influence of magneto-hydrodynamics (MHD) and slip effect on unsteady peristaltic nanofluid flow in a non-uniform porous channel of finite length. The constituent governing equations for the model have been examined under the approximation of long wave length and small Reynolds value. Keeping kerosene oil and ethylene glycol as base fluids with polystyrene chosen as nanoparticle. The current analysis is carried out for the peristaltic flow transferal which carries innumerable industrialized employments. The incompressible, viscous, electrically conducting flow is studied in wave form. Here, exact method is employed to obtained closed form solutions. We have implemented computational software packages “Mathematica” as a main tool in order to obtain explicit expressions for axial velocity, temperature, stream function, pumping phenomenon and bolus formation. Obtained solutions are used for graphical analysis against different physical parameters. It is concluded that axial velocity increments for higher Hartmann number and slip parameter near the walls. The porosity effects increases the temperature whereas the temperature field shows increasing behavior for larger Brinkman number.

scholarly journals PERISTALTIC TRANSPORT OF A PHYSIOLOGICAL FLUID IN AN ASYMMETRIC POROUS CHANNEL IN THE PRESENCE OF AN EXTERNAL MAGNETIC FIELD

2008 ◽  
Vol 08 (04) ◽  
pp. 507-525 ◽  
Author(s):  
J. C. MISRA ◽  
S. MAITI ◽  
G. C. SHIT
Keyword(s):  
Magnetic Field ◽  
Magnetic Parameter ◽  
Peristaltic Transport ◽  
Graphical Form ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Numerical Techniques ◽  
Perfect Agreement ◽  
Difference Wave ◽  
Physiological Fluid

This paper deals with a theoretical investigation of the peristaltic transport of a physiological fluid in a porous asymmetric channel under the action of a magnetic field. The stream function, pressure gradient, and axial velocity are studied by using appropriate analytical and numerical techniques. Effects of different physical parameters such as permeability, phase difference, wave amplitude and magnetic parameter on the velocity, pumping characteristics, streamline pattern, and trapping are investigated with particular emphasis. The computational results are presented in graphical form. The results are found to be in perfect agreement with those of a previous study carried out for a nonporous channel in the absence of a magnetic field.

scholarly journals PERISTALTIC TRANSPORT OF A COUPLE STRESS FLUID: SOME APPLICATIONS TO HEMODYNAMICS

2012 ◽  
Vol 12 (03) ◽  
pp. 1250048 ◽  
Author(s):  
S. MAITI ◽  
J. C. MISRA
Keyword(s):  
Frictional Force ◽  
Couple Stress ◽  
Amplitude Ratio ◽  
Circulatory System ◽  
Peristaltic Transport ◽  
Porous Channel ◽  
Couple Stress Fluid ◽  
Graphical Form ◽  
Physical Parameters ◽  
Stress Effect

The paper deals with a theoretical investigation of the peristaltic transport of a couple stress fluid in a porous channel. The study is motivated toward investigating the physiological flow of blood in the micro-circulatory system, by taking account of the particle size effect. The velocity, pressure gradient, stream function, and frictional force of blood are investigated, when the Reynolds number is small and the wavelength is large, by using appropriate analytical and numerical methods. Effects of different physical parameters reflecting porosity, Darcy number, couple stress parameter, as well as amplitude ratio on velocity profiles, pumping action and frictional force, streamlines pattern, and trapping of blood are studied with particular emphasis. The computational results are presented in graphical form. The results are found to be in good agreement with those reported by Shapiro et al.52 that was carried out for a non-porous channel without consideration of couple stress effect. The present study puts forward an important observation that for peristaltic transport of a couple stress fluid during free pumping, flow reversal can be considerably controlled by suitably adjusting the couple stress effect of the fluid/Darcy permeability of the channel. It is also possible to avoid the occurrence of trapping, by reducing the permeability.

EFFECT OF RELAXATION TIME ON MHD PULSATILE FLOW OF BLOOD THROUGH POROUS MEDIUM IN AN ARTERY UNDER THE EFFECT OF PERIODIC BODY ACCELERATION

2013 ◽  
Vol 21 (02) ◽  
pp. 1350011 ◽  
Author(s):  
ISLAM M. ELDESOKY
Keyword(s):  
Porous Medium ◽  
Shear Stress ◽  
Relaxation Time ◽  
Pulsatile Flow ◽  
Axial Velocity ◽  
Physical Parameters ◽  
Body Acceleration ◽  
Electrically Conducting ◽  
The Laplace Transform ◽  
The Mathematical Model

In this investigation, the influence of relaxation time on magnetohydrodynamic (MHD) pulsatile flow of blood through porous medium in an artery under the effect of periodic body acceleration is investigated. The applied magnetic field is assumed to be constant and perpendicular to the blood flow in the artery, and blood is considered as an incompressible electrically conducting fluid. An analytical solution of the equation of motion is obtained by applying the Laplace Transform. With a view of illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity and wall shear stress are given. The results show that the values of the axial velocity and shear stress are affected by the relaxation time. Numerical results are reported for different values of the physical parameters of interest.

scholarly journals Effects of Poiseuille flow on peristaltic transport

2001 ◽  
Vol 26 (6) ◽  
pp. 341-352
Author(s):  
El Sayed F. El Shehawey ◽  
Wahed A. F. El Sebaei
Keyword(s):  
Small Parameter ◽  
Poiseuille Flow ◽  
Axial Velocity ◽  
Wave Amplitude ◽  
Amplitude Ratio ◽  
Cylindrical Tube ◽  
Fluid Phase ◽  
Momentum Equation ◽  
Peristaltic Transport ◽  
Tube Radius

The effects of Poiseuille flow on peristaltic transport in a cylindrical tube has been investigated. A perturbation solution is obtained, which satisfies the momentum equation for the case in which the amplitude ratio (wave amplitude/tube radius) is chosen as a small parameter. The results show that the fluid phase mean axial velocity increases with increasing the Poiseuille parameterk. The phenomena of reflux is discussed. Numerical results are reported for various values ofk.

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