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 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 transport of pseudoplastic fluid in a curved channel with wall properties and slip conditions

2014 ◽  
Vol 07 (02) ◽  
pp. 1450015 ◽  
Author(s):  
S. Hina ◽  
T. Hayat ◽  
M. Mustafa ◽  
A. Alsaedi
Keyword(s):  
Axial Velocity ◽  
Nonlinear Boundary ◽  
Numerical Solutions ◽  
Central Line ◽  
Slip Parameter ◽  
Nonlinear Boundary Value Problems ◽  
Curved Channel ◽  
Pseudoplastic Fluid ◽  
Long Wavelength ◽  
Wall Properties

Effects of wall properties and slip condition on the peristaltic flow of an incompressible pseudoplastic fluid in a curved channel are studied. Series solution of the governing problem is obtained after applying long wavelength and low Reynolds number approximations. The results are validated with the numerical solutions through the built-in routine for solving nonlinear boundary value problems via software Mathematica. The variations of different parameters on axial velocity are carefully analyzed. Behaviors of embedding parameters on the dimensionless stream function are also discussed. It is noted that the axial velocity and size of trapped bolus increases with an increase in slip parameter. It is also observed that the profiles of axial velocity are not symmetric about the central line of the curved channel which is different from the case of planar channel.

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.

Impact of curvature on the mixed convective peristaltic flow of shear thinning fluid with nanoparticles

2016 ◽  
Vol 94 (12) ◽  
pp. 1319-1330 ◽  
Author(s):  
Iqra Shahzadi ◽  
S. Nadeem
Keyword(s):  
Reynolds Number ◽  
Homotopy Perturbation Method ◽  
Shear Thinning ◽  
Central Line ◽  
Peristaltic Flow ◽  
Curved Channel ◽  
Hyperbolic Tangent ◽  
Long Wavelength ◽  
Homotopy Perturbation ◽  
Shear Thinning Fluid

The aim of the present analysis is to discuss the mixed convective peristaltic flow of shear thinning hyperbolic tangent fluid under the effects of nanoparticles in a curved channel. The model considered for the nanofluid is to analyze the effects of Brownian motion and thermophoresis parameter. The problem is formulated under the assumptions of long wavelength and low Reynolds number and then solved analytically using the homotopy perturbation method (HPM). The substantial features of related parameters are examined by sketching graphs. The most important observation of the analysis is that the velocity profiles are not symmetric about the central line of the curved channel.

EFFECT OF WALL PROPERTIES ON THE PERISTALTIC FLOW OF A THIRD GRADE FLUID IN A CURVED CHANNEL

2012 ◽  
Vol 12 (04) ◽  
pp. 1250067 ◽  
Author(s):  
S. HINA ◽  
T. HAYAT ◽  
M. MUSTAFA ◽  
OMAR M. ALDOSSARY ◽  
S. ASGHAR
Keyword(s):  
Central Line ◽  
Peristaltic Flow ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Curved Channel ◽  
Long Wavelength ◽  
Wall Properties ◽  
Bolus Size ◽  
Curvature Parameter ◽  
Grade Fluid

This paper discusses the effects of wall properties on the peristaltic flow of an incompressible third grade fluid in a curved channel. Series solution is obtained under the approximation of long wavelength and low Reynolds number. Relation of stream function is derived. The variations of the interesting parameters entering into the problem are carefully analyzed. It is observed that the velocity profiles are not symmetric about the central line of the curved channel. Moreover, the bolus size increases with an increase in the curvature parameter in the upper half of the channel. Whereas it is found to decrease upon increasing the curvature parameter in the lower half of the channel.

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.

scholarly journals Wall Properties and Slip Consequences on Peristaltic Transport of a Casson Liquid in a Flexible Channel with Heat Transfer

2018 ◽  
Vol 3 (1) ◽  
pp. 277-290 ◽  
Author(s):  
P. Devaki ◽  
S. Sreenadh ◽  
K. Vajravelu ◽  
K. V. Prasad ◽  
Hanumesh Vaidya
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Wave Propagation ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Viscous Damping ◽  
Damping Force ◽  
Long Wavelength ◽  
Wall Properties ◽  
The Impact

AbstractIn this paper, the peristaltic wave propagation of a Non-Newtonian Casson liquid in a non-uniform (flexible)channel with wall properties and heat transfer is analyzed. Long wavelength and low Reynolds number approximations are considered. Analytical solution for velocity, stream function and temperature in terms of various physical parameters is obtained. The impact of yield stress, elasticity, slip and non-uniformity parameters on the peristaltic flow of Casson liquidare observed through graphs and discussed. The important outcome is that an increase in rigidity, stiffness and viscous damping force of the wall results in the enhancement of the size and number of bolus formed in the flow pattern.

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.

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.

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