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.

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.

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.

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.

Influence of Heat and Mass Transfer on the Peristaltic Transport of a Phan-Thien–Tanner Fluid

2013 ◽  
Vol 68 (12) ◽  
pp. 751-758 ◽  
Author(s):  
Tasawar Hayat ◽  
Saima Noreen ◽  
Muhammad Qasim
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Reynolds Number ◽  
Heat And Mass Transfer ◽  
Series Solution ◽  
Flow System ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Induced Magnetic Field ◽  
Long Wavelength

In this paper, we discuss the effects of heat and mass transfer on the peristaltic flow in the presence of an induced magnetic field. Constitutive equations of a Phan-Thien-Tanner fluid are utilized in the mathematical description. Mathematical modelling is based upon the laws of mass, linear momentum, energy, and concentration. Relevant equations are simplified using long wavelength and low Reynolds number assumptions. A series solution is presented for small Weissenberg number. Variations of emerging parameters embedded in the flow system are discussed.

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

Application of Rabinowitsch Fluid Model for the Mathematical Analysis of Peristaltic Flow in a Curved Channel

2015 ◽  
Vol 70 (7) ◽  
pp. 513-520 ◽  
Author(s):  
Ehnber Naheed Maraj ◽  
Sohail Nadeem
Keyword(s):  
Current Problem ◽  
Fluid Model ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Shear Stresses ◽  
Curved Channel ◽  
Long Wavelength ◽  
Long Wavelength Approximation ◽  
Dimensional Parameters ◽  
Wavelength Approximation

AbstractThe present work is the mathematical investigation of peristaltic flow of Rabinowitsch fluid in a curved channel. The current problem is modeled and solutions for non-dimensional differential equation are obtained under low Reynolds number and long wavelength approximation. The effects of long lasting non-dimensional parameters on exact solution for velocity profile, pressure rise and shear stresses are studied graphically in the last section. Tables are also incorporated for shear stresses at the walls of the curved channel.

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.

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.

Sign in / Sign up

Export Citation Format

Share Document