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.

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.

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.

Peristaltic Motion of Nanofluid in a Curved Channel

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Sadia Hina ◽  
Meraj Mustafa ◽  
Saeid Abbasbandy ◽  
Tasawar Hayat ◽  
A. Alsaedi
Keyword(s):  
Brownian Motion ◽  
Shooting Method ◽  
Numerical Solutions ◽  
Central Line ◽  
Governing Equations ◽  
Curved Channel ◽  
Pumping Rate ◽  
Long Wavelength ◽  
Channel Transport ◽  
Nanoparticles Concentration

This article describes the peristaltic transport of nanofluids in a curved channel. Transport equations contain the simultaneous effects of Brownian motion and thermophoretic diffusion of nanoparticles. The governing equations are modeled. Mathematical analysis is performed subject to long wavelength and low Reynolds number assumptions. Numerical solutions are obtained by employing shooting method. Results indicate an increase in the pumping rate when the strengths of Brownian motion and thermophoresis effects are increased. It is observed that the profiles of temperature and nanoparticles concentration are not symmetric about the central line of the curved channel which is different from the case of planar channel.

On Spectral Relaxation Approach to Radiating Powell-Eyring Fluid Flow over a Stretching Disk with Newtonian Heating

2018 ◽  
Vol 387 ◽  
pp. 461-473 ◽  
Author(s):  
K. Gangadhar ◽  
D. Vijaya Kumar ◽  
S. Mohammed Ibrahim ◽  
Oluwole Daniel Makinde
Keyword(s):  
Boundary Layer ◽  
Nonlinear Boundary ◽  
Numerical Solutions ◽  
Relaxation Method ◽  
Newtonian Heating ◽  
Nonlinear Boundary Value Problems ◽  
Local Skin ◽  
Boundary Layer Equations ◽  
Spectral Relaxation Method ◽  
Spectral Relaxation

In this study we use a new spectral relaxation method to investigate an axisymmetric law laminar boundary layer flow of a viscous incompressible non-Newtonian Eyring-Powell fluid and heat transfer over a heated disk with thermal radiation and Newtonian heating. The transformed boundary layer equations are solved numerically using the spectral relaxation method that has been proposed for the solution of nonlinear boundary layer equations. Numerical solutions are obtained for the local wall temperature, the local skin friction coefficient, as well as the velocity and temperature profiles. We show that the proposed technique is an efficient numerical algorithm with assured convergence that serves as an alternative to common numerical methods for solving nonlinear boundary value problems. We show that the convergence rate of the spectral relaxation method is significantly improved by using method in conjunction with the successive over-relaxation method. It is observed that CPU time is reduced in SOR method compare with SRM method.

scholarly journals A New Spectral-Homotopy Perturbation Method and Its Application to Jeffery-Hamel Nanofluid Flow with High Magnetic Field

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Ahmed A. Khidir
Keyword(s):  
Magnetic Field ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Nonlinear Boundary ◽  
Numerical Solutions ◽  
Nonlinear Boundary Value Problems ◽  
Nanofluid Flow ◽  
New Approach ◽  
Homotopy Perturbation ◽  
Chebyshev Pseudospectral

We present a new modification of the homotopy perturbation method (HPM) for solving nonlinear boundary value problems. The technique is based on the standard homotopy perturbation method, and blending of the Chebyshev pseudospectral methods. The implementation of the new approach is demonstrated by solving the Jeffery-Hamel flow considering the effects of magnetic field and nanoparticle. Comparisons are made between the proposed technique, the standard homotopy perturbation method, and the numerical solutions to demonstrate the applicability, validity, and high accuracy of the present approach. The results demonstrate that the new modification is more efficient and converges faster than the standard homotopy perturbation method.

scholarly journals Spectral-Homotopy Perturbation Method for Solving Governing MHD Jeffery-Hamel Problem

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Ahmed A. Khidir
Keyword(s):  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Nonlinear Boundary ◽  
Numerical Solutions ◽  
High Accuracy ◽  
Nonlinear Boundary Value Problems ◽  
Pseudospectral Methods ◽  
New Approach ◽  
Homotopy Perturbation ◽  
Chebyshev Pseudospectral

We present a new modification of the homotopy perturbation method (HPM) for solving nonlinear boundary value problems. The technique is based on the standard homotopy perturbation method and blending of the Chebyshev pseudospectral methods. The implementation of the new approach is demonstrated by solving the MHD Jeffery-Hamel flow and the effect of MHD on the flow has been discussed. Comparisons are made between the proposed technique, the previous studies, the standard homotopy perturbation method, and the numerical solutions to demonstrate the applicability, validity, and high accuracy of the presented approach. The results demonstrate that the new modification is more efficient and converges faster than the standard homotopy perturbation method at small orders. The MATLAB software has been used to solve all the equations in this study.

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.

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