EFFECT OF MAGNETIC FIELD ON PERISTALTIC TRANSPORT OF COUPLE STRESS FLUIDS THROUGH A POROUS MEDIUM

2011 ◽  
Vol 19 (02) ◽  
pp. 251-262 ◽  
Author(s):  
S. K. PANDEY ◽  
M. K. CHAUBE
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Axial Velocity ◽  
Couple Stress ◽  
Magnetic Parameter ◽  
Amplitude Ratio ◽  
Perturbation Technique ◽  
Mean Velocity ◽  
Stress Parameter ◽  
Permeability Parameter

This paper analyses peristaltic flow of a couple stress fluid in a channel through a porous medium in the presence of an external magnetic field. The flow is induced by sinusoidal traveling waves along the walls of the channel. The nonlinear convective acceleration terms are duly considered and a perturbation technique is used to solve the problem for the case of small amplitude ratio. The effects of couple-stress parameter, magnetic parameter and permeability parameter on mean velocity on the channel walls, mean axial velocity and critical reflux condition are discussed in detail. Computational results show that the mean velocity at the boundary decreases with increasing couple stress parameter and permeability parameter while it increases with magnetic parameter. It is also revealed that mean axial velocity decreases with increasing couple stress parameter and magnetic parameter while it increases with permeability parameter.

PERISTALTIC FLOW OF COUPLE-STRESS CONDUCTING FLUIDS THROUGH A POROUS CHANNEL: APPLICATIONS TO BLOOD FLOW IN THE MICRO-CIRCULATORY SYSTEM

2011 ◽  
Vol 19 (03) ◽  
pp. 461-477 ◽  
Author(s):  
DHARMENDRA TRIPATHI
Keyword(s):  
Frictional Force ◽  
Couple Stress ◽  
Amplitude Ratio ◽  
Circulatory System ◽  
Mechanical Efficiency ◽  
Peristaltic Flow ◽  
Porous Channel ◽  
Stress Parameter ◽  
Permeability Parameter ◽  
Conducting Fluids

The present investigation is devoted to study a theoretical investigation of the peristaltic flow of a couple-stress conducting fluids in a porous channel under the influence of slip boundary condition. This study is applicable to the physiological flow of blood in the micro-circulatory system, by taking account of the particle size effect. The expressions for axial velocity, pressure gradient, stream function, frictional force and mechanical efficiency are obtained under the small Reynolds number and the large wavelength approximations. Effects of different physical parameters reflecting permeability parameter, couple-stress parameter, Hartmann number as well as amplitude ratio on pumping characteristics, frictional force, mechanical efficiency and trapping of peristaltic flow pattern are studied. The computational and numerical results are presented in graphical form. On the basis of our discussion, it is concluded that pressure reduces by increasing the magnitude of couple-stress parameter, permeability parameter, slip parameter, whereas it enhances by increasing the magnitude of magnetic field and amplitude ratio.

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

Effect of rotation on dusty couple-stress fluid with hydromagnetic field heated below through porous medium

2018 ◽  
Vol 15 (1) ◽  
pp. 148-155
Author(s):  
W. Stanly ◽  
R. Vasanthakumari
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Couple Stress ◽  
Perturbation Technique ◽  
Dust Particles ◽  
Couple Stress Fluid ◽  
Content Type ◽  
Medium Permeability ◽  
Stabilizing Effect ◽  
Solute Gradient

Purpose The purpose of this paper is used to study the combined effect of solute gradient and magnetic field on dusty couple-stress fluid in the presence of rotation through a porous medium. Design/methodology/approach The perturbation technique (experimental method) is applied in this study. Findings For the case of stationary convection, solute gradient and rotation have stabilizing effect, whereas destabilizing effect is found in dust particles in the system. Couple stress and medium permeability both have dual character to its stabilizing effect in the absence of magnetic field and rotation. Magnetic field succeeded in establishing a stabilizing effect in the absence of rotation. Originality/value The results are discussed by allowing one variable to vary and keeping other variables constant, as well as by drawing graphs.

scholarly journals MHD Peristaltic Transport of a Dusty Couple Stress Fluid Through a Symmetric Porous Channel

2018 ◽  
Vol 7 (4.10) ◽  
pp. 306
Author(s):  
E. P. Siva ◽  
`J. Prakash ◽  
A. Govindarajan ◽  
M. Vidhya
Keyword(s):  
Velocity Profile ◽  
Pressure Gradient ◽  
Skin Friction ◽  
Flow Rate ◽  
Analytical Solutions ◽  
Axial Velocity ◽  
Couple Stress ◽  
Perturbation Technique ◽  
Velocity Profiles ◽  
Permeability Parameter

This paper agreement with the MHD peristalsis flow of a dusty couple stress liquid in a 2-D channel. Analytical solutions are got for pressure gradient and axial velocity in the fluid using perturbation technique. The results obtained for velocity profile, pressure gradient and skin friction are graphically represented. It is noted the velocity profiles increases with the increase in time averaged flow rate (Q). The velocity profiles reduce with the raise in couple stress parameter (S) and Permeability parameter (k). 

scholarly journals The onset of thermal convection in couple-stress fluid in hydromagnetics saturating a porous medium

2014 ◽  
Vol 62 (2) ◽  
pp. 357-362
Author(s):  
Gian C. Rana
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Thermal Convection ◽  
Couple Stress ◽  
Normal Mode Analysis ◽  
Linear Stability Theory ◽  
Mode Analysis ◽  
Couple Stress Fluid ◽  
Stress Parameter ◽  
Medium Permeability

Abstract In this paper, the effect of magnetic field on thermal convection in couple-stress fluid saturating a porous medium is considered. By applying linear stability theory and the normal mode analysis method, a mathematical theorem is derived which states that the viscoelastic thermal convection at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R, the medium permeability parameter Pι the couple-stress parameter F and the Chandrasekher number Q, satisfy the inequality the result clearly establishes the stabilizing character of couple-stress parameter and magnetic field whereas destabilizing character of medium permeability.

scholarly journals Effects of Unsteady Free Convective MHD Non-Newtonian Flow Through a Porous Medium Bounded by an Infinite Inclined Porous Plate

2010 ◽  
Vol 9 (2) ◽  
pp. 6-20
Author(s):  
N. Ananda Reddy ◽  
M. C. Raju ◽  
S. Vijay Kumar Varma
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Sink Strength ◽  
Solution Rate ◽  
Electrically Conducting ◽  
Constant Suction ◽  
Permeability Parameter ◽  
Flow Through

The problem of unsteady free convective MHD incompressible electrically conducting non-Newtonian fluid through porous medium bounded by on infinite inclined porous plate in the presence of constant suction and absorbing sinks is presented. Uniform magnetic field is applied normal to the plate. The equations governing the fluid flow have been solved using multi-parameter perturbation technique, subject to the relevant boundary conditions. It is noted that the velocity of the fluid and skin friction ore increased as permeability parameter and angle of inclination increases, whereas reverse phenomenon is observed in case of magnetic field strength and sink strength. Velocity and temperature are greater for mercury than that of electrolytic solution. Rate of heat transfer decreases with increase in the sink strength. The results ore discussed through graphs and tables.

scholarly journals Magneto-rotatory compressible couple-stress fluid heated from below in porous medium

2016 ◽  
Vol 38 (1) ◽  
pp. 55-63
Author(s):  
Chander Bhan Mehta
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Couple Stress ◽  
Normal Modes ◽  
Sufficient Conditions ◽  
Couple Stress Fluid ◽  
Onset Of Convection ◽  
Medium Permeability ◽  
Effects Of Rotation ◽  
The Magnetic Field

Abstract The study is aimed at analysing thermal convection in a compressible couple stress fluid in a porous medium in the presence of rotation and magnetic field. After linearizing the relevant equations, the perturbation equations are analysed in terms of normal modes. A dispersion relation governing the effects of rotation, magnetic field, couple stress parameter and medium permeability have been examined. For a stationary convection, the rotation postpones the onset of convection in a couple stress fluid heated from below in a porous medium in the presence of a magnetic field. Whereas, the magnetic field and couple stress postpones and hastens the onset of convection in the presence of rotation and the medium permeability hastens and postpones the onset of convection with conditions on Taylor number. Further the oscillatory modes are introduced due to the presence of rotation and the magnetic field which were non-existent in their absence, and hence the principle of exchange stands valid. The sufficient conditions for nonexistence of over stability are also obtained.

Double-Diffusive Magneto Convection in a Compressible Couple-Stress Fluid Through Porous Medium

2011 ◽  
Vol 66 (5) ◽  
pp. 304-310 ◽  
Author(s):  
Pardeep Kumar ◽  
Hari Mohan
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Couple Stress ◽  
Mode Analysis ◽  
Couple Stress Fluid ◽  
Onset Of Convection ◽  
Linearized Stability ◽  
Medium Permeability ◽  
Solute Gradient ◽  
Double Diffusive

The double-diffusive convection in a compressible couple-stress fluid layer heated and soluted from below through porous medium is considered in the presence of a uniform vertical magnetic field. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, the compressibility, stable solute gradient, magnetic field, and couple-stress postpone the onset of convection whereas medium permeability hastens the onset of convection. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The stable solute gradient and magnetic field introduce oscillatory modes in the system, which were non-existent in their absence. A condition for the system to be stable is obtained by using the Rayleigh-Ritz inequality. The sufficient conditions for the non-existence of overstability are also obtained.

Consequences of compliant walls for peristaltic transportation in a channel having porous medium and porous boundaries

2019 ◽  
Vol 97 (6) ◽  
pp. 599-608 ◽  
Author(s):  
Iqra Shahzadi ◽  
S. Nadeem
Keyword(s):  
Porous Medium ◽  
Distribution Function ◽  
Velocity Distribution ◽  
Amplitude Ratio ◽  
Equations Of Motion ◽  
Velocity Distribution Function ◽  
Driving Mechanism ◽  
Regular Perturbation ◽  
Mean Velocity ◽  
Porous Boundaries

The current communication addresses the two-dimensional peristaltic transport of viscous fluid in a channel having porous medium as well as porous boundaries. The walls of the channel are assumed to be compliant to represent the driving mechanism of the muscle. The equations of motion are considered for the deformable boundaries and the fluid to investigate the fluid–solid interaction problem. The zeroth-, first-, and second-order solutions of stream function for a small amplitude ratio are determined by using regular perturbation. Impact of related parameters on quantities D1, D2, mean velocity perturbation function, and mean velocity distribution function are interpreted graphically. One fundamental finding of the considered examination is that the increase in permeability parameter increases the amplitude of the velocity distribution function.

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