Boundary-layer flow of a micropolar fluid on a continuous moving or fixed surface

2006 ◽  
Vol 84 (5) ◽  
pp. 399-410 ◽  
Author(s):  
Anuar Ishak ◽  
Roslinda Nazar ◽  
Ioan Pop
Keyword(s):  
Boundary Layer ◽  
Skin Friction ◽  
Boundary Layer Flow ◽  
Micropolar Fluid ◽  
Plane Surface ◽  
Velocity Ratio ◽  
Skin Friction Coefficient ◽  
Keller Box Method ◽  
Moving Plane ◽  
Layer Flow

The present paper deals with the analysis of boundary-layer flow of a micropolar fluid on a fixed or continuous moving plane surface. Both parallel and reverse moving surfaces to the free stream are considered. The resulting system of nonlinear ordinary differential equations is solved numerically using the Keller-box method. Numerical results are obtained for skin friction coefficient, local Nusselt number, velocity, angular velocity, and temperature profiles. The results indicate that the effect of the material parameter on skin friction and heat transfer depends on the velocity ratio of the plate and the fluid.PACS No.: 47.15.Cb

Boundary-layer flow of a micropolar fluid on a continuous flatplate moving in a parallel stream with uniform surface heat flux

2007 ◽  
Vol 85 (8) ◽  
pp. 869-878 ◽  
Author(s):  
A Ishak ◽  
R Nazar ◽  
I Pop
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Boundary Layer Flow ◽  
Surface Heat Flux ◽  
Micropolar Fluid ◽  
Free Stream ◽  
Velocity Ratio ◽  
Skin Friction Coefficient ◽  
Surface Heat ◽  
Layer Flow

The laminar boundary-layer flow of a micropolar fluid on a fixed or continuously moving flat plate with uniform surface heat flux is investigated. The plate is assumed to move in the same oropposite direction to the free stream. The resulting system of nonlinear ordinary differential equations is solved numerically using the Keller-box method. Numerical results are obtained for the skin-friction coefficient and the local Nusselt number as well as the velocity, microrotation, and temperature profiles for some values of the governing parameters, namely, the velocity ratio parameter, material parameter, and Prandtl number. The results indicate that dual solutions exist when the plate and the free stream move in the opposite directions.PACS No.: 47.15.Cb

Unsteady MHD boundary layer flow of tangent hyperbolic two-phase nanofluid of moving stretched porous wedge

2018 ◽  
Vol 28 (11) ◽  
pp. 2567-2580 ◽  
Author(s):  
A. Mahdy ◽  
Ali J. Chamkha
Keyword(s):  
Boundary Layer ◽  
Friction Coefficient ◽  
Skin Friction ◽  
Boundary Layer Flow ◽  
Velocity Ratio ◽  
Skin Friction Coefficient ◽  
Content Type ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow

Purpose The purpose of this paper is to address the thermo-physical impacts of unsteady magneto-hydrodynamic (MHD) boundary layer flow of non-Newtonian tangent hyperbolic nanofluid past a moving stretching wedge. To delineate the nanofluid, the boundary conditions for normal fluxes of the nanoparticle volume fraction are chosen to be vanish. Design/methodology/approach The local similarity transformation is implemented to reformulate the governing PDEs into coupled non-linear ODEs of higher order. Then, numerical solution is obtained for the simplified governing equations with the aid of finite difference technique. Findings Numerical calculations point out that pressure gradient parameter leads to improve all skin friction coefficient, rate of heat transfer and absolute value of rate of nanoparticle concentration. As well as, lager values of Weissenberg number tend to upgrade the skin friction coefficient, while power law index and velocity ratio parameter reduce the skin friction coefficient. Again, the horizontal velocity component enhances with upgrading power law index, unsteadiness parameter, velocity ratio parameter and Darcy number and it reduces with rising values of Weissenberg number. Originality/value A numerical treatment of unsteady MHD boundary layer flow of tangent hyperbolic nanofluid past a moving stretched wedge is obtained. The problem is original.

scholarly journals Series Solutions of Boundary Layer Flow of a Micropolar Fluid Near the Stagnation Point Towards a Shrinking Sheet

2009 ◽  
Vol 64 (9-10) ◽  
pp. 575-582 ◽  
Author(s):  
Sohail Nadeem ◽  
Saeid Abbasbandy ◽  
Majid Hussain
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Micropolar Fluid ◽  
Skin Friction Coefficient ◽  
Shrinking Sheet ◽  
Local Skin ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Local Skin Friction ◽  
Layer Flow

An analysis has been carried out to obtain the series solution of boundary layer flow of a micropolar fluid towards a shrinking sheet. The governing equations of micropolar fluid are simplified using suitable similarity transformations and then solved by homotopy analysis method (HAM). The convergence of the HAM solutions has been obtained by using homotopy-pade approximation. The effects of various parameters such as porosity parameter R, the ratio λ and the microinertia K on the velocity and microinertia profiles as well as local skin friction coefficient are presented graphically and in tabulated form.

Unsteady Boundary Layer Flow of A Micropolar Fluid Near A Stagnation Point With Uniform Suction Or Injection

2012 ◽  
Author(s):  
Yian Yian Lok ◽  
Norsarahaida Amin ◽  
Ioan Pop
Keyword(s):  
Boundary Layer ◽  
Skin Friction ◽  
Stagnation Point ◽  
Boundary Layer Flow ◽  
Micropolar Fluid ◽  
External Flow ◽  
Unsteady Boundary Layer ◽  
Material Parameters ◽  
Suction Or Injection ◽  
Layer Flow

Kertas kerja ini mengkaji kesan sedutan dan suntikan ke atas aliran lapisan sempadan tak mantap di titik genangan depan dinding boleh telap bagi bendalir mikropolar. Halaju aliran luar serta halaju sedutan dan suntikan diandaikan bermula secara dedunyut, seterusnya manjadi malar selepas aliran mula bergerak. Masalah ini dimodelkan oleh persamaan terbitan separa yang perlu diselesaiakn secara berangka untuk beberapa nilai sedutan, suntikan dan parameter bahan. Taburan halaju, mikroputaran dan pekali geseran permukaan dipersembahkan dalam bentuk jadual dan gambar rajah. Hasil kajian menunjukkan kesan sedutan dapat meningkatkan nilai sedutan dan suntikan, kesan mikroputaran berdekatan dinding dapat diperlambatkan. Di samping itu, suntikan didapati memerlukan lebih banyak masa untuk mencapai aliran mantap berbanding sedutan. Kata kunci: Aliran lapisan sempadan tak mantap, bendalir mikropolar, titik genangan depan, sedutan, suntikan This paper studies the effect of suction or injection on unsteady boundary layer flow of micropolar fluid near the forward stagnation point of a permeable wall. The velocity of the external flow as well as that of suction or injection are assumed to start impulsively from rest and are maintained thereafter. The model is governed by a set of coupled partial different equations that is solved numerically for some values of the suction, injection and material parameters. Profiles for the velocity, microrotation and skin friction coenfficient are determined and presented in tables and graphical forms. The results show that suction increases the skin friction while the opposite behaviour is observed for the case of injection. It is also found that an increase in the material parameter will enchance the flow near the wall. On the other hand, it can be seen that in the case of injection, longer time is required to approach the steady flow than in the case of suction. Key words: Unsteady boundary layer flow, micropolar fluid, forward stagnation point, suction, injection

Boundary Layer Flow Due to a Moving Flat Plate in Micropolar Fluid

2005 ◽  
Vol 43 (1) ◽  
Author(s):  
Mohd. Zuki Salleh ◽  
Azizah Mohd Rohni ◽  
Norsarahaida Amin
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Boundary Layer Flow ◽  
Micropolar Fluid ◽  
Layer Flow
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