The flow of a micropolar fluid through a porous channel with expanding or contracting walls

Open Physics ◽  
2011 ◽  
Vol 9 (3) ◽  
Author(s):  
Xinhui Si ◽  
Liancun Zheng ◽  
Xinxin Zhang ◽  
Ying Chao
Keyword(s):  
Dynamic Characteristics ◽  
Homotopy Analysis Method ◽  
Micropolar Fluid ◽  
Expansion Ratio ◽  
Velocity Fields ◽  
Porous Channel ◽  
Analysis Method ◽  
Governing Equations ◽  
Homotopy Analysis ◽  
Expanding Or Contracting Walls

AbstractThe flow of a micropolar fluid in a porous channel with expanding or contracting walls is investigated. The governing equations are reduced to ordinary ones by using similar transformations. Homotopy analysis method (HAM) is employed to obtain the expressions for the velocity fields and microrotation fields. Graphs are sketched for the effects of some values of parameters, especially the expansion ratio, on the velocity and microrotation fields and associated dynamic characteristics are analyzed in detail.

Predictor homotopy analysis method for nanofluid flow through expanding or contracting gaps with permeable walls

2015 ◽  
Vol 08 (04) ◽  
pp. 1550050 ◽  
Author(s):  
Navid Freidoonimehr ◽  
Behnam Rostami ◽  
Mohammad Mehdi Rashidi
Keyword(s):  
Homotopy Analysis Method ◽  
Volume Fraction ◽  
Expansion Ratio ◽  
Analysis Method ◽  
Nanofluid Flow ◽  
Analytical Technique ◽  
Study Results ◽  
Permeable Walls ◽  
Homotopy Analysis ◽  
Flow Through

In this paper a definitely new analytical technique, predictor homotopy analysis method (PHAM), is employed to solve the problem of two-dimensional nanofluid flow through expanding or contracting gaps with permeable walls. Moreover, comparison of the PHAM results with numerical results obtained by the shooting method coupled with a Runge–Kutta integration method as well as previously published study results demonstrates high accuracy for this technique. The fluid in the channel is water containing different nanoparticles: silver, copper, copper oxide, titanium oxide, and aluminum oxide. The effects of the nanoparticle volume fraction, Reynolds number, wall expansion ratio, and different types of nanoparticles on the flow are discussed.

Flow of Magnetohydrodynamic Micropolar Fluid Induced by Radially Stretching Sheets

2011 ◽  
Vol 66 (1-2) ◽  
pp. 53-60 ◽  
Author(s):  
Tasawar Hayat ◽  
Muhammad Nawaz ◽  
Awatif A. Hendi
Keyword(s):  
Reynolds Number ◽  
Shear Stress ◽  
Skin Friction ◽  
Nonlinear Problem ◽  
Homotopy Analysis Method ◽  
Micropolar Fluid ◽  
Analysis Method ◽  
Fluid Parameter ◽  
Homotopy Analysis ◽  
Radial Stretching

We investigate the flow of a micropolar fluid between radial stretching sheets. The magnetohydrodynamic (MHD) nonlinear problem is treated using the homotopy analysis method (HAM) and the velocity profiles are predicted for the pertinent parameters. The values of skin friction and couple shear stress coefficients are obtained for various values of Reynolds number, Hartman number, and micropolar fluid parameter.

scholarly journals Implementation of Homotopy Analysis Method on circular permeable slider containing of incompressible Newtonian fluid

2016 ◽  
Vol 34 (1) ◽  
pp. 21-31 ◽  
Author(s):  
Javad Rahimi ◽  
Mazaher Rahimi Esboee ◽  
Davod Domairy Ganji ◽  
Iman Rahimi-Petrodi ◽  
Reza Mohammadyari
Keyword(s):  
Differential Equations ◽  
Newtonian Fluid ◽  
Homotopy Analysis Method ◽  
Classical Problem ◽  
Momentum Equation ◽  
Velocity Fields ◽  
Nonlinear Ordinary Differential Equations ◽  
Analysis Method ◽  
Incompressible Newtonian Fluid ◽  
Homotopy Analysis

The aim of this paper is to examine the classical problem of an incompressible Newtonian fluid through the porous of a circular slider which is moving laterally on a horizontal plan. Employing the similarity variables, the governing differential equations have been reduced to ordinary ones and solved via Homotopy Analysis Method (HAM). The analytical solution for the coupled Nonlinear Ordinary Differential Equations resulting from the momentum equation is obtained and Velocity fields have been computed and discussed for different values of the Reynolds number. Also the fourth-order Runge-Kutta numerical method (NUM) is used for the validity of these analytical methods and excellent agreement are observed between the solutions obtained from HAM and numerical results.

The analysis of the flow of a micropolar fluid between two orthogonally moving porous disks with counter rotating directions

Open Physics ◽  
2013 ◽  
Vol 11 (5) ◽  
Author(s):  
Yina Sun ◽  
Xinhui Si ◽  
Liancun Zheng ◽  
Yanan Shen ◽  
Xinxin Zhang
Keyword(s):  
Reynolds Number ◽  
Differential Equations ◽  
Micropolar Fluid ◽  
Flow Behavior ◽  
Angular Speed ◽  
Expansion Ratio ◽  
Physical Parameters ◽  
Analysis Method ◽  
Rotating Disks ◽  
Homotopy Analysis

AbstractThe present work investigates the unsteady, imcompressible flow of a micropolar fluid between two orthogonally moving porous coaxial disks. The lower and upper disks are rotating with the same angular speed in counter directions. The flows are driven by the contraction and the rotation of the disks. An extension of the Von Kármán type similarity transformation is proposed and is applied to reduce the governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in dimensionless form. These differential equations with appropriate boundary conditions are responsible for the flow behavior between large but finite coaxial rotating disks. The analytical solutions are obtained by employing the homotopy analysis method. The effects of some various physical parameters like the expansion ratio, the rotational Reynolds number, the permeability Reynolds number, and micropolar parameters on the velocity fields are observed in graphs and discussed in detail.

Flow of a Non-Newtonian Nanofluid Between Coaxial Cylinders with Variable Viscosity

2012 ◽  
Vol 67 (5) ◽  
pp. 255-261 ◽  
Author(s):  
Muhammad Yousaf Malik ◽  
Azad Hussain ◽  
Sohail Nadeem
Keyword(s):  
Differential Equations ◽  
Newtonian Fluid ◽  
Homotopy Analysis Method ◽  
Variable Viscosity ◽  
Nonlinear Differential Equations ◽  
Analysis Method ◽  
Governing Equations ◽  
Coaxial Cylinders ◽  
Homotopy Analysis ◽  
Physical Features

In the present paper, we have focused our attention to highlight the study of a non-Newtonian nanofluid between coaxial cylinders with variable viscosity. The governing equations of the non- Newtonian fluid with variable viscosity along with energy and nanoparticles are given. The coupled nonlinear differential equations are solved analytically with the help of the homotopy analysis method (HAM). The convergence of the solution is discussed through h-curves. The physical features of pertinent parameters are discussed by plotting graphs.

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