scholarly journals Flow of MHD Carreau Fluid in a Curved Channel

2013 ◽  
Vol 10 (1) ◽  
pp. 29-39 ◽  
Author(s):  
Saima Noreen ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi
Keyword(s):  
Magnetic Force ◽  
Flow Problem ◽  
Peristaltic Flow ◽  
Frame Of Reference ◽  
Induced Magnetic Field ◽  
Carreau Fluid ◽  
Curved Channel ◽  
Long Wavelength ◽  
Curvature Effects ◽  
Parameters Of Interest

Analysis has been made for the curvature effects on the MHD peristaltic flow of an incompressible Carreau fluid in a channel. The flow problem is first reduced in the wave frame of reference and then solved after employing the long wavelength and low Reynolds number approximations. Expressions of stream function, pressure gradient, magnetic force function, induced magnetic field and current density are derived and then examined for various parameters of interest.

Magnetohydrodynamic Peristaltic Flow of a Pseudoplastic Fluid in a Curved Channel

2013 ◽  
Vol 68 (5) ◽  
pp. 380-390 ◽  
Author(s):  
Saima Noreen ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi
Keyword(s):  
Magnetic Field ◽  
Series Solution ◽  
Magnetic Force ◽  
Fluid Model ◽  
Peristaltic Flow ◽  
Frame Of Reference ◽  
Induced Magnetic Field ◽  
Curved Channel ◽  
Pseudoplastic Fluid ◽  
Long Wavelength

A mathematical model is developed to examine the effects of an induced magnetic field on the peristaltic flow in a curved channel. The non-Newtonian pseudoplastic fluid model is used to depict the combined elastic and viscous properties. The analysis has been carried out in the wave frame of reference, long wavelength and low Reynolds scheme are implemented. A series solution is obtained through perturbation analysis. Results for stream function, pressure gradient, magnetic force function, induced magnetic field, and current density are constructed. The effects of significant parameters on the flow quantities are sketched and discussed.

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.

EFFECT OF AN INDUCED MAGNETIC FIELD ON PERISTALTIC FLOW OF NON-NEWTONIAN FLUID IN A CURVED CHANNEL

2012 ◽  
Vol 12 (03) ◽  
pp. 1250058 ◽  
Author(s):  
T. HAYAT ◽  
S. NOREEN ◽  
A. ALSAEDI
Keyword(s):  
Magnetic Field ◽  
Current Density ◽  
Magnetic Force ◽  
Problem Formulation ◽  
Peristaltic Flow ◽  
Frame Of Reference ◽  
Third Grade Fluid ◽  
Induced Magnetic Field ◽  
Curved Channel ◽  
Grade Fluid

The purpose of this study is to discuss the influence of induced magnetic field on the peristaltic flow of an incompressible third-grade fluid in a curved channel. The problem formulation is presented in a wave frame of reference. The continuity, linear momentum, and induction equations lead to the mathematical development. The relations of stream function, pressure gradient, magnetic force function, induced magnetic field, and current density are developed. The effects of embedded parameters are explained by plots.

Effects of Heat and Mass Transfer on Peristaltic Flow of Carreau Fluid in a Vertical Annulus

2010 ◽  
Vol 65 (10) ◽  
pp. 781-792 ◽  
Author(s):  
Sohail Nadeem ◽  
Noreen Sher Akbar
Keyword(s):  
Mass Transfer ◽  
Velocity Field ◽  
Shooting Method ◽  
Numerical Solutions ◽  
Concentration Field ◽  
Peristaltic Flow ◽  
Frame Of Reference ◽  
Carreau Fluid ◽  
Long Wavelength ◽  
Vertical Annulus

This article is devoted to the study of peristaltic transport of a Carreau fluid in a vertical annulus under the consideration of long wavelength. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Exact solutions have been evaluated for temperature and concentration field, while approximated analytical and numerical solutions are found for the velocity field using (i) the perturbation method and (ii) the shooting method. The effects of various emerging parameters are investigated graphically.

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

Heat Transfer Analysis for the Peristaltic Flow of Herschel–Bulkley Fluid in a Nonuniform Inclined Channel

2015 ◽  
Vol 70 (1) ◽  
pp. 23-32 ◽  
Author(s):  
Noreen Sher Akbar ◽  
Adil Wahid Butt
Keyword(s):  
Amplitude Ratio ◽  
Peristaltic Flow ◽  
Frame Of Reference ◽  
Heat Transfer Analysis ◽  
Mean Flow ◽  
Long Wavelength ◽  
Inclined Channel ◽  
Field Temperature ◽  
Stream Functions ◽  
Parameters Of Interest

AbstractIn this article, we have investigated peristaltic mechanisms in a two dimensional nonuniform channel filled with Herschel–Bulkley fluid. Problem is studied under the assumptions of long-wavelength and low-Reynolds-number approximation. The fluid flow is investigated in the wave frame of reference moving with the velocity of the peristaltic wave in a channel. Exact solutions for the velocity field, temperature profile, stream functions, and pressure gradient are obtained and illustrated graphically for different parameters of interest such as α (angle of inclination), τ (the ratio of yield stress), φ (amplitude ratio), Pr (Prandtl number), and Q (mean flow rate) etc.

Series solution of unsteady peristaltic flow of a Carreau fluid in small intestines

2014 ◽  
Vol 07 (05) ◽  
pp. 1450049 ◽  
Author(s):  
Arshad Riaz ◽  
S. Nadeem ◽  
R. Ellahi ◽  
Noreen Sher Akbar
Keyword(s):  
Numerical Integration ◽  
Series Solution ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Frame Of Reference ◽  
Carreau Fluid ◽  
Long Wavelength ◽  
Frictional Forces ◽  
Small Intestines ◽  
Uniform Tube

The study of peristaltic flow of a Carreau fluid in a non-uniform tube under the consideration of long wavelength is presented. The flow is investigated in a wave frame of reference moving with velocity of the wave c. Numerical integration has been used to obtain the graphical results for pressure rise and frictional forces. The effects of various emerging parameters are investigated through graphs.

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.

scholarly journals Peristaltic transport of Johnson–Segalman fluid in a curved channel with compliant walls

2012 ◽  
Vol 17 (3) ◽  
pp. 297-311 ◽  
Author(s):  
Sadia Hina ◽  
Tasawar Hayat ◽  
Saleem Asghar
Keyword(s):  
Reynolds Number ◽  
Mathematical Analysis ◽  
Channel Wall ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Peristaltic Transport ◽  
Curved Channel ◽  
Long Wavelength ◽  
Channel Effects ◽  
Compliant Walls

The present investigation deals with the peristaltic flow of an incompressible Johnson–Segalman fluid in a curved channel. Effects of the channel wall properties are taken into account. The associated equations for peristaltic flow in a curved channel are modeled. Mathematical analysis is simplified under long wavelength and low Reynolds number assumptions. The solution expressions are established for small Weissenberg number. Effects of several embedded parameters on the flow quantities are 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.

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