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.

Unsteady Flow between Two Orthogonally Moving Porous Disks

2015 ◽  
Vol 31 (2) ◽  
pp. 147-151 ◽  
Author(s):  
M. Ghaffar ◽  
K. Ali ◽  
A. Yasmin ◽  
M. Ashraf
Keyword(s):  
Reynolds Number ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Unsteady Flow ◽  
Ordinary Differential Equations ◽  
Incompressible Flow ◽  
Expansion Ratio ◽  
Physical Parameters ◽  
Partial Differential ◽  
Parameters Of Interest

ABSTRACTThe unsteady laminar incompressible flow of a fluid between two orthogonally moving porous coaxial disks is considered numerically. A transformation is used to reduce the governing partial differential equations (PDEs) to a set of nonlinear coupled ordinary differential equations. The effects of physical parameters of interest such as the wall expansion ratio and the permeability Reynolds number on the velocity are discussed in detail.

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.

Rotating Flow of a Micropolar Fluid Induced by a Stretching Surface

2010 ◽  
Vol 65 (10) ◽  
pp. 829-843 ◽  
Author(s):  
Tariq Javed ◽  
Iftikhar Ahmad ◽  
Zaheer Abbas ◽  
Tasawar Hayat
Keyword(s):  
Differential Equations ◽  
Micropolar Fluid ◽  
Nonlinear Partial Differential Equations ◽  
Rotating Flow ◽  
Nonlinear Ordinary Differential Equations ◽  
Series Solutions ◽  
Analysis Method ◽  
Stretching Surface ◽  
Homotopy Analysis ◽  
Layer Flow

This investigation deals with the boundary layer flow of a micropolar fluid over a stretching surface. The flow is considered in a rotating frame of reference. The governing nonlinear partial differential equations are reduced to coupled nonlinear ordinary differential equations. The set of similarity equations has been solved analytically employing the homotopy analysis method (HAM). The series solutions are given for velocity and microrotation, and the convergence of these solutions are explicitly discussed. Attention has been focused to the variations of the emerging parameters on the velocity and microrotation are discussed through graphs.

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.

Soret and Dufour Effects on the Stagnation-Point Flow of a Micropolar Fluid Toward a Stretching Sheet

2011 ◽  
Vol 133 (2) ◽  
Author(s):  
T. Hayat ◽  
M. Mustafa ◽  
S. Obaidat
Keyword(s):  
Mass Transfer ◽  
Stagnation Point ◽  
Micropolar Fluid ◽  
Stretching Sheet ◽  
Stagnation Point Flow ◽  
Physical Parameters ◽  
Analysis Method ◽  
Soret And Dufour Effects ◽  
Homotopy Analysis ◽  
Incompressible Micropolar Fluid

This communication reports the heat and mass transfer analysis in the stagnation-point flow toward a stretching sheet. An incompressible micropolar fluid takes into account the diffusion-thermo- (Dufour) and thermal-diffusion (Soret) effects. The arising nonlinear differential system is solved by homotopy analysis method. Convergence of the obtained homotopy solutions is clearly justified. Special emphasis has been given to various physical parameters through graphs and tables. It is noticed that fields are influenced appreciably with the variation of embedding parameters. A comparison of the present results with the existing numerical solution is discussed in a limiting sense.

scholarly journals Flow of an Erying-Powell fluid over a stretching sheet in presence of chemical reaction

2016 ◽  
Vol 20 (6) ◽  
pp. 1903-1912 ◽  
Author(s):  
Ilyas Khan ◽  
Muhammad Qasim ◽  
Sharidan Shafie
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Stretching Sheet ◽  
Similarity Transformation ◽  
Integration Scheme ◽  
Physical Parameters ◽  
Analysis Method ◽  
Stretching Surface ◽  
Shooting Technique ◽  
Homotopy Analysis

In this paper we study the flow of an incompressible Erying-Powell fluid bounded by a linear stretching surface. The mass transfer analysis in the presence of destructive /generative chemical reactions is also analyzed. A similarity transformation is used to transform the governing partial differential equations into ordinary differential equations. Computations for dimensionless velocity and concentration fields are performed by an efficient approach namely the homotopy analysis method (HAM) and numerical solution is obtained by shooting technique along with Runge-Kutta-Fehlberg integration scheme. Graphical results are prepared to illustrate the details of flow and mass transfer characteristics and their dependence upon the physical parameters. The values for gradient of mass transfer are also evaluated and analyzed. A comparison of the present solutions with published results in the literature is performed and the results are found to be in excellent agreement.

Heat Transfer Analysis on Axisymmetric Mhd Flow of a Micropolar Fluid Between the Radially Stretching Sheets

2011 ◽  
Vol 27 (4) ◽  
pp. 607-617 ◽  
Author(s):  
T. Hayat ◽  
M. Nawaz ◽  
A. A. Hendi
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Micropolar Fluid ◽  
Axisymmetric Flow ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Heat Transfer Analysis ◽  
Physical Parameters ◽  
Local Skin ◽  
Homotopy Analysis

ABSTRACTThe effect of heat transfer on the axisymmetric flow of MHD micropolar fluid between two radially stretching sheets is described. The governing partial differential equations are reduced into the ordinary differential equations by using transformations. The resulting problems are solved by homotopy analysis method (HAM). Dimensionless velocities and temperature are plotted for the variation of influential parameters. The local skin friction coefficient, local couple stress coefficient and Nusselt number are tabulated with respect to the influence of several physical parameters.

scholarly journals Influence of interfacial electrokinetic on MHD radiative nanofluid flow in a permeable microchannel with Brownian motion and thermophoresis effects

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 726-737
Author(s):  
Abdul Samad Khan ◽  
Yufeng Nie ◽  
Zahir Shah ◽  
Ilyas Khan ◽  
Dumitru Baleanu ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Differential Equations ◽  
Body Force ◽  
Lewis Number ◽  
Physical Parameters ◽  
Analysis Method ◽  
Flat Plates ◽  
Preceding Work ◽  
Magnetohydrodynamic Effect ◽  
Homotopy Analysis

AbstractIn this study, the behavior of a microchannel flow is examined. The fluid is considered to be a nanofluid, which moves between two parallel flat plates in the presence of an electrical double layer. The Buongiorno nanofluid is considered with body force. In this study, the unphysical supposition presented in the preceding work to the discontinuity of the flow fled where the electrostatic potential in the central of the canal must be equal to zero is removed. The incorrect supposition that the pressure constant is preserved, which is considered a known form, is corrected. The current fresh model equation is modified by using dimensionless parameters to convert partial differential equations into ordinary differential equations. The transformed nonlinear equations are solved by the homotopy analysis method. The physical parameters, magnetic parameters, Eckert number, Lewis number, Brownian motion parameters, thermophoresis parameters, and Prandtl number are analyzed. The influence of both the viscous and Joule dissipation in the presence of magnetohydrodynamic effect is examined.

Entropy generation and heat transfer analysis for ferrofluid flow between two rotating disks with variable conductivity

2021 ◽  
pp. 095440622199118
Author(s):  
Anupam Bhandari
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Differential Equations ◽  
Entropy Generation ◽  
Heat Transfer Analysis ◽  
Entropy Generation Rate ◽  
Geometrical Parameters ◽  
Rotating Disks ◽  
Coupled Differential Equations ◽  
Lower Disk

Present model analyze the flow and heat transfer of water-based carbon nanotubes (CNTs) [Formula: see text] ferrofluid flow between two radially stretchable rotating disks in the presence of a uniform magnetic field. A study for entropy generation analysis is carried out to measure the irreversibility of the system. Using similarity transformation, the governing equations in the model are transformed into a set of nonlinear coupled differential equations in non-dimensional form. The nonlinear coupled differential equations are solved numerically through the finite element method. Variable viscosity, variable thermal conductivity, thermal radiation, and volume concentration have a crucial role in heat transfer enhancement. The results for the entropy generation rate, velocity distributions, and temperature distribution are graphically presented in the presence of physical and geometrical parameters of the flow. Increasing the values of ferromagnetic interaction number, Reynolds number, and temperature-dependent viscosity enhances the skin friction coefficients on the surface and wall of the lower disk. The local heat transfer rate near the lower disk is reduced in the presence of Harman number, Reynolds number, and Prandtl number. The ferrohydrodynamic flow between two rotating disks might be useful to optimize the use of hybrid nanofluid for liquid seals in rotating machinery.

scholarly journals Dynamics with Cattaneo–Christov heat and mass flux theory of bioconvection Oldroyd-B nanofluid

2020 ◽  
Vol 12 (8) ◽  
pp. 168781402093046 ◽  
Author(s):  
Noor Saeed Khan ◽  
Qayyum Shah ◽  
Arif Sohail
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Differential Equations ◽  
Mass Flux ◽  
Homotopy Analysis Method ◽  
Two Dimensional ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Transfer Flow ◽  
Insight Into

Entropy generation in bioconvection two-dimensional steady incompressible non-Newtonian Oldroyd-B nanofluid with Cattaneo–Christov heat and mass flux theory is investigated. The Darcy–Forchheimer law is used to study heat and mass transfer flow and microorganisms motion in porous media. Using appropriate similarity variables, the partial differential equations are transformed into ordinary differential equations which are then solved by homotopy analysis method. For an insight into the problem, the effects of various parameters on different profiles are shown in different graphs.

Sign in / Sign up

Export Citation Format

Share Document