Peristaltic Flow of Pseudoplastic Fluid in an Asymmetric Channel

2012 ◽  
Vol 79 (5) ◽  
Author(s):  
S. Noreen ◽  
A. Alsaedi ◽  
T. Hayat
Keyword(s):  
Reynolds Number ◽  
Pressure Gradient ◽  
Stream Function ◽  
Low Reynolds Number ◽  
Problem Formulation ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Pseudoplastic Fluid ◽  
Long Wavelength ◽  
Pumping And Trapping

This research is concerned with the peristaltic flow of pseudoplastic fluid. The problem formulation is made and then the solution analysis is presented, subject to a long wavelength and a low Reynolds number. The stream function and pressure gradient have been computed. Pumping and trapping phenomena are analyzed in detail.

Peristaltic Flow of Pseudoplastic Fluid in a Curved Channel With Wall Properties

2013 ◽  
Vol 80 (2) ◽  
Author(s):  
S. Hina ◽  
M. Mustafa ◽  
T. Hayat ◽  
A. Alsaedi
Keyword(s):  
Reynolds Number ◽  
Stream Function ◽  
Axial Velocity ◽  
Low Reynolds Number ◽  
Central Line ◽  
Peristaltic Flow ◽  
Curved Channel ◽  
Pseudoplastic Fluid ◽  
Long Wavelength ◽  
Wall Properties

The effects of wall properties on the peristaltic flow of an incompressible pseudoplastic fluid in a curved channel are investigated. The relevant equations are modeled. Long wavelength and low Reynolds number approximations are adopted. The stream function and axial velocity are derived. The variations of the embedding parameters into the problem are carefully discussed. It is noted that the velocity profiles are not symmetric about the central line of the curved channel.

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of a Jeffrey fluid in an inclined asymmetric channel is undertaken when the no-slip condition at the channel wall is no longer valid.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.

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.

Variable Viscosity Effect on MHD Peristaltic Flow of Pseudoplastic Fluid in a Tapered Asymmetric Channel

2016 ◽  
Vol 34 (3) ◽  
pp. 363-374 ◽  
Author(s):  
T. Hayat ◽  
R. Iqbal ◽  
A. Tanveer ◽  
A. Alsaedi
Keyword(s):  
Pressure Gradient ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Pseudoplastic Fluid ◽  
Viscosity Effect ◽  
Tapered Channel

AbstractInfluence of variable viscosity the peristaltic flow of pseudoplastic fluid in a tapered channel is discussed. The effects of magnetohydrodynamics (MHD) are also studied. Asymmetric channel is considered. The relevant problem is first formulated and then non-dimensionalized. The nonlinear different system subject to lubrication approach is solved. Expressions for pressure gradient, pressure rise and velocity are constructed. Graphs reflecting the variations of sundry parameters on pressure rise and velocity are examined. Trapping and pumping phenomena are also studied.

Long Wavelength Flow Analysis in a Curved Channel

2010 ◽  
Vol 65 (3) ◽  
pp. 191-196 ◽  
Author(s):  
Nasir Ali ◽  
Muhammad Sajid ◽  
Tasawar Hayat
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Pressure Gradient ◽  
Axial Velocity ◽  
Flow Analysis ◽  
Peristaltic Flow ◽  
Curved Channel ◽  
Closed Form Solutions ◽  
Long Wavelength ◽  
Quantities Of Interest

This study is concerned with the peristaltic flow of a viscous fluid in a curved channel. Mathematically the problem is governed by two partial differential equations. Closed form solutions of the stream function, axial velocity, and pressure gradient are developed under long wavelength and low Reynolds number assumptions. The influence of curvature is analyzed on various flow quantities of interest.

scholarly journals Peristaltic transport of viscoelastic bio-fluids with fractional derivative models

BIOMATH ◽  
2016 ◽  
Vol 5 (1) ◽  
pp. 1605161 ◽  
Author(s):  
Emilia Bazhlekova ◽  
Ivan Bazhlekov
Keyword(s):  
Reynolds Number ◽  
Fractional Derivative ◽  
Pressure Gradient ◽  
Numerical Study ◽  
Peristaltic Flow ◽  
Viscoelastic Flows ◽  
Long Wavelength ◽  
Material Parameters ◽  
Uniform Channel ◽  
Appl Math

Peristaltic flow of viscoelastic fluid through a uniform channel is considered under the assumptions of long wavelength and low Reynolds number. The fractional Oldroyd-B constitutive viscoelastic law is employed. Based on models for peristaltic viscoelastic flows given in a series of papers by Tripathi et al. (e.g. Appl Math Comput. 215 (2010) 3645–3654; Math Biosci. 233 (2011) 90–97) we present a detailed analytical and numerical study of the evolution in time of the pressure gradient across one wavelength. An analytical expression for the pressure gradient is obtained in terms of Mittag-Leffler functions and its behavior is analyzed. For numerical computation the fractional Adams method is used. The influence of the different material parameters is discussed, as well as constraints on the parameters under which the model is physically meaningful.

Influence of Lateral Walls on Peristaltic Flow in a Rectangular Duct

2005 ◽  
Vol 127 (4) ◽  
pp. 824-827 ◽  
Author(s):  
M. V. Subba Reddy ◽  
Manoranjan Mishra ◽  
S. Sreenadh ◽  
A. Ramachandra Rao
Keyword(s):  
Reynolds Number ◽  
Aspect Ratio ◽  
Viscous Fluid ◽  
Poiseuille Flow ◽  
Low Reynolds Number ◽  
Peristaltic Flow ◽  
Rectangular Duct ◽  
Long Wavelength ◽  
Low Reynolds ◽  
Lateral Walls

The flow of a viscous fluid due to symmetric peristaltic waves propagating on the horizontal sidewalls of a rectangular duct is studied under the assumptions of long wavelength and low Reynolds number. The effect of aspect ratio β, ratio of height to width, on the pumping characteristics is discussed in detail. The results are compared to with those corresponding to Poiseuille flow.

Peristaltic flow of Williamson fluid in a convected walls channel with Soret and Dufour effects

2015 ◽  
Vol 09 (01) ◽  
pp. 1650012 ◽  
Author(s):  
T. Hayat ◽  
Naheed Batool ◽  
H. Yasmin ◽  
A. Alsaedi ◽  
M. Ayub
Keyword(s):  
Reynolds Number ◽  
Low Reynolds Number ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Series Solutions ◽  
Soret And Dufour Effects ◽  
Williamson Fluid ◽  
Long Wavelength ◽  
Symmetric Channel ◽  
Biot Numbers

Peristaltic flow of magnetohydrodynamic (MHD) Williamson fluid in a symmetric channel is addressed. Modeling is given with Soret and Dufour effects. Channel walls have compliant properties. Analysis has been carried out through long wavelength and low Reynolds number approach. The obtained series solutions for small Weissenberg number are developed. Impact of variables reflecting the salient features of wall properties, Biot numbers and Soret and Dufour on the velocity, temperature and concentration has been point out. Trapping phenomenon is also analyzed.

Mixed Convective Magnetohydrodynamic Peristaltic Flow of a Jeffrey Nanofluid with Newtonian Heating

2013 ◽  
Vol 68 (6-7) ◽  
pp. 433-441 ◽  
Author(s):  
Noreen Sher Akbar ◽  
Sohail Nadeem
Keyword(s):  
Homotopy Perturbation Method ◽  
Problem Formulation ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Peristaltic Motion ◽  
Newtonian Heating ◽  
Long Wavelength ◽  
Coupled Equations ◽  
Jeffrey Nanofluid ◽  
First Time

We present the mixed convective peristaltic motion of a magnetohydrodynamic (MHD) Jeffrey nanofluid in an asymmetric channel with Newtonian heating. In the peristaltic literature, Newtonian heating is used for the first time in the present article. The peristaltic flow of a nanofluid with Newtonian heating is not explored so far. So in the present problem, first we model the mixed convective peristaltic motion of a MHD Jeffrey nanofluid in an asymmetric channel with Newtonian heating. According to the realistic approch, the problem formulation is made under long wavelength and low Reynolds number approximation.We get the four coupled equations. Homotopy perturbation method (HPM) solutions are calculated for nanoparticle fraction and heat transfer phenomena, while exact solutions are evaluated for stream function and pressure gradient. The possessions of different parameters on the flow quantities of observation are analyzed graphically and physically. In the end, the streamlines are plotted and discussed.

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.

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