scholarly journals Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction

2013 ◽  
Vol 10 (1) ◽  
pp. 41-58 ◽  
Author(s):  
T. Hayat ◽  
Humaira Yasmin ◽  
S. Asghar ◽  
Awatif A. Hendi
Keyword(s):  
Mass Transfer ◽  
Chemical Reaction ◽  
Wave Train ◽  
Longitudinal Velocity ◽  
Pressure Rise ◽  
Asymmetric Channel ◽  
Long Wavelength ◽  
Slip Effects ◽  
Inclined Asymmetric Channel ◽  
Pumping And Trapping

An analysis is carried out for the peristaltic flow in an inclined asymmetric channel when no-slip condition does not hold. The whole analysis has been carried out in the presence of mass transfer and chemical reaction. The channel asymmetry is generated because of peristaltic wave train on the walls through different amplitudes and phases. Long wavelength and low Reynolds number assumption is adopted in the whole mathematical analysis. Expressions for the stream function and longitudinal pressure gradient have been developed. Numerical integration is performed for the analysis of pressure rise per wavelength. Longitudinal velocity, pumping and trapping phenomena are analyzed in detail via plots.

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.

PERISTALTIC TRANSPORT OF A JEFFREY FLUID UNDER THE EFFECT OF SLIP IN AN INCLINED ASYMMETRIC CHANNEL

2010 ◽  
Vol 02 (02) ◽  
pp. 437-455 ◽  
Author(s):  
S. SRINIVAS ◽  
R. MUTHURAJ
Keyword(s):  
Reynolds Number ◽  
Channel Wall ◽  
Analytic Solution ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Asymmetric Channel ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Inclined Asymmetric Channel ◽  
Pumping And Trapping

Peristaltic flow of a Jeffrey fluid in an inclined asymmetric channel is undertaken when the no-slip condition at the channel wall is no longer valid. The considered fluid is incompressible and electrically conducting. The flow is investigated in a waveframe of reference moving with the velocity of the wave. The analytic solution has been derived for the stream function under long wavelength and low Reynolds number assumptions. The effect of slip and non-Newtonian parameter on the axial velocity and shear stress are discussed in detail. The salient features of pumping and trapping are discussed with particular focus on the effect of slip and non-Newtonian parameters.

Peristaltic Flow of a Non-Newtonian Fluid in an Asymmetric Channel with Convective Boundary Conditions

2013 ◽  
Vol 29 (4) ◽  
pp. 599-607 ◽  
Author(s):  
T. Hayat ◽  
Humaira Yasmin ◽  
Mohammed S. Alhuthali ◽  
Marwan A. Kutbi
Keyword(s):  
Boundary Conditions ◽  
Wave Train ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Convective Boundary Conditions ◽  
Third Order ◽  
Convective Boundary ◽  
Long Wavelength ◽  
Wavelength Approximation

ABSTRACTThis article addresses peristaltic flow of third order fluid in an asymmetric channel. Channel walls are subjected to the convective boundary conditions. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. Long wavelength approximation and perturbation method give the series solutions for the stream function, temperature and longitudinal pressure gradient. Analysis has been further carried out for pressure rise per wavelength through numerical integration. Several graphs of physical interest are displayed and discussed.

Thermal Properties of Couple-Stress Fluid Flow in an Asymmetric Channel With Peristalsis

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Y. Abd elmaboud ◽  
Kh. S. Mekheimer ◽  
A. I. Abdellateef
Keyword(s):  
Heat Transfer ◽  
Couple Stress ◽  
Wave Train ◽  
Pressure Rise ◽  
Couple Stress Fluid ◽  
Two Dimensional ◽  
Asymmetric Channel ◽  
Long Wavelength ◽  
Axial Pressure Gradient ◽  
Frictional Forces

The heat transfer characteristics of a couple-stress fluid (CSF) in a two-dimensional asymmetric channel is analyzed. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. Mathematical modeling corresponding to the two-dimensional couple stress fluid is made. Analytical expressions for the axial velocity, stream function, heat transfer, and the axial pressure gradient are established using long wavelength assumption. Numerical computations have been carried out for the pressure rise per wavelength. The influence of various parameters of interest is seen through graphs on frictional forces, pumping and trapping phenomena, and temperature profile.

Magneto-thermo hydrodynamic peristaltic flow of Eyring-Powell nanofluid in asymmetric channel

2018 ◽  
Vol 7 (2) ◽  
pp. 83-90 ◽  
Author(s):  
Saima Noreen
Keyword(s):  
Pressure Rise ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Long Wavelength ◽  
Basic Equations ◽  
Velocity Pressure ◽  
Biot Numbers ◽  
Parameters Of Interest

Abstract This research is devoted to the peristaltic flow of Eyring-Powell nanofluid in an asymmetric channel. Robins-type (convective) boundary conditions are employed in the presence of mixed convection and magnetic field. The basic equations of Eyring-Powell nanofluid are modeled in wave frame of reference. Long wavelength and low Reynolds number approach is utilized. Numerical solution of the governing problem is computed and analyzed. The effects of various parameters of interest on the velocity, pressure rise, concentration and temperature are discussed and illustrated graphically. Brownian motion parameter and thermophoresis parameter facilitates the increase in temperature of fluid. Biot numbers serve to reduce the temperature at channel walls.

Analysis of Mixed Convective Heat and Mass Transfer on Peristaltic Flow of Fene-P Fluid with Chemical Reaction

2015 ◽  
Vol 32 (1) ◽  
pp. 83-92 ◽  
Author(s):  
Z. Asghar ◽  
N. Ali
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Wave Length ◽  
Linear Equations ◽  
Pressure Rise ◽  
Boussinesq Approximation ◽  
Flow Equations ◽  
Highly Nonlinear ◽  
Concentration Changes

AbstractThis study presents the influence of heat and mass transfer on peristaltic transport of Finitely Extensible Nonlinear Elastic Peterlin (FENE-P) fluid in the presence of chemical reaction. It is assumed that all the fluid properties, except the density are constant. The Boussinesq approximation which relates density change to temperature and concentration changes is used in formulating buoyancy force terms in the momentum equation. Moreover, we neglect viscous dissipation and include diffusion-thermal (Dufour) and thermal-diffusion (Soret) effects in the present analysis. By the consideration of such important aspects the flow equations become highly nonlinear and coupled. In order to make the problem tractable we have adopted widely used assumptions of long wave length and low Reynolds number. An exact solution of the simplified coupled linear equations for the temperature and concentration has been obtained whereas numerical solution is obtained for dimensionless stream function and pressure gradient. The effects of different parameters on velocity field, temperature and concentration fields and trapping phenomenon are highlighted through various graphs. Numerical integration has been performed to analyze pressure rise per wavelength.

scholarly journals Influence of Variable Viscosity on Peristaltic Motion of a Viscoelastic Fluid in a Tapered Microfluidic Vessel

2018 ◽  
Vol 7 (4.10) ◽  
pp. 49 ◽  
Author(s):  
J. Prakash ◽  
E. P.Siva ◽  
A. Govindarajan ◽  
M. Vidhya
Keyword(s):  
Viscoelastic Fluid ◽  
Axial Velocity ◽  
Variable Viscosity ◽  
Fluid Dynamic ◽  
Wave Train ◽  
Flow Analysis ◽  
Pressure Rise ◽  
Average Pressure ◽  
Peristaltic Motion ◽  
Long Wavelength

The peristaltic flow of a viscoelastic fluid in the tapered microchannel with variable viscosity is investigated. This study is reinvigorated by discovering fluid dynamic in peristaltic motion as signified by biological flows, pharmacodynamics and gastro-intestinal motility enhancement. The microchannel non-uniform and asymmetry is developed by choosing a peristaltic wave train on the wall with different amplitudes and phases. The flow analysis has been arisen for low Reynolds number and long wavelength case. The solutions for stream function, axial velocity and pressure gradient are obtained. The effects of pertinent parameters on the average pressure rise per wavelength are investigated by means of numerical integration. The axial velocity and phenomena of trapping are further discussed.  

Slip and Heat Transfer Effects on Peristaltic Motion of a Carreau Fluid in an Asymmetric Channel

2010 ◽  
Vol 65 (12) ◽  
pp. 1121-1127 ◽  
Author(s):  
Tasawar Hayat ◽  
Najma Saleem ◽  
Awatif A. Hendi
Keyword(s):  
Heat Transfer ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Peristaltic Motion ◽  
Carreau Fluid ◽  
Long Wavelength ◽  
Flow And Heat Transfer ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation ◽  
Pumping And Trapping

An analysis has been carried out for peristaltic flow and heat transfer of a Carreau fluid in an asymmetric channel with slip effect. The governing problem is solved under long wavelength approximation. The variations of pertinent dimensionless parameters on temperature are discussed. Pumping and trapping phenomena are studied.

THE PERISTALTIC TRANSPORT OF CARREAU NANOFLUIDS UNDER EFFECT OF A MAGNETIC FIELD IN A TAPERED ASYMMETRIC CHANNEL: APPLICATION OF THE CANCER THERAPY

2015 ◽  
Vol 15 (03) ◽  
pp. 1550030 ◽  
Author(s):  
M. KOTHANDAPANI ◽  
J. PRAKASH
Keyword(s):  
Magnetic Field ◽  
Hartmann Number ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Asymmetric Channel ◽  
Nanofluid Flow ◽  
Long Wavelength ◽  
Cancer Tissues ◽  
Physical Quantities ◽  
Quantities Of Interest

During the cancer treatment, one of the successful methods is to inject the blood vessels which are closest to the tumor with magnetic nanoparticles along with placing a magnet nearer to the tumor. The dynamics of these nanoparticles may happen under the action of the peristaltic waves generated on the walls of tapered asymmetric channel. Analyzing this type of nanofluid flow under such action may highly be supportive in treating cancer tissues. In this study, a newly described peristaltic transport of Carreau nanofluids under the effect of a magnetic field in the tapered asymmetric channel are analytically investigated. Exact expressions for temperature field, nanoparticle fraction field, axial velocity, stream function, pressure gradient and shear stress are derived under the assumptions of long wavelength and low Reynolds number. Finally, the effects of various emerging parameters on the physical quantities of interest are discussed. It is found that the pressure rise increases with increase in Hartmann Number and thermophoresis parameter.

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