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Boundary layer flow over a moving surface in a nanofluid with suction or injection

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Acta Mechanica Sinica 2012年第1期28卷 34-40页

作者： Norfifah Bachok anuar ishak Ioan Pop Department of Mathematics and Institute for Mathematical Research Faculty of Science Universiti Putra Malaysia School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Faculty of Mathematics University of Cluj

An analysis is performed to study the heat transfer characteristics of steady two-dimensional boundary layer flow past a moving permeable flat plate in a nanofluid. The effects of uniform suction and injection on the flow field and heat transfer characteristics are numerically studied by using an implicit finite difference method. It is found that dual solutions exist when the plate and the free stream move in the opposite directions. The results indicate that suction delays the boundary layer separation, while injection accelerates it.

关键词： Nanofluid .Moving plate. Boundary layer. Suction/injection - Dual solutions

Boundary Layer Flow over a Continuously Moving Thin Needle in a Parallel Free Stream

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Chinese Physics Letters 2007年第10期24卷 2895-2897页

作者： anuar ishak Rosllinda Nazar Ioan Pop School of Mathematical Sciences Universiti Kebangsaan Malaysia 43600 UKM Bangi Selangor Malaysia Faculty of Mathematics University of Cluj R-3400 Cluj CP 253 Romania

We investigate the boundary-layer flow on a moving isothermal thin needle parallel to a moving stream. The governing equations are solved numerically by a finite-difference method. Dual solutions are found to exist wh... 详细信息

关键词： coated conductor buffer layer self-epitaxy CeO2

MHD Flow Towards a Permeable Surface with Prescribed Wall Heat Flux

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Chinese Physics Letters 2009年第1期26卷 169-171页

作者： anuar ishak Roslinda Nazar Ioan Pop School of Mathematical Sciences Universiti Kebangsaan Malaysia 43600 UKM Bangi Selangor Malaysia Faculty of Mathematics University of Cluj R-3400 Cluj CP 253 Romania

The steady magnetohydrodynamic （MHD） mixed convection flow towards a vertical permeable surface with prescribed heat flux is investigated. The governing partial differential equations are transformed into a system of ordinary differential equations, which is then solved numerically by a finite-difference method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analysed and discussed. Both assisting and opposing flows are considered. It is found that dual solutions exist for the assisting flow, besides the solutions usually reported in the literature for the opposing flow.

关键词： field emission molybdenum dioxide enhancement factor

Boundary Layer on a Moving Wall with Suction and Injection

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Chinese Physics Letters 2007年第8期24卷 2274-2276页

We investigate the boundary-layer flow on a moving permeable plate parallel to a moving stream. The governing equations are solved numerically by a finite-difference method. Dual solutions are found to exist when the ... 详细信息

关键词： coated conductor buffer layer self-epitaxy CeO2

Hybrid Nanofluid Flow with Homogeneous-Heterogeneous Reactions

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Computers, Materials & Continua 2021年第9期68卷 3255-3269页

作者： Iskandar Waini anuar ishak Ioan Pop Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan Universiti Teknikal Malaysia MelakaHang Tuah Jaya76100Durian TunggalMelakaMalaysia Department of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan Malaysia43600UKM BangiSelangorMalaysia Department of Mathematics Babe¸s-Bolyai University400084Cluj-NapocaRomania

This study examines the stagnation point flow over a stretching/shrinking sheet in a hybrid nanofluid with homogeneous-heterogeneous *** hybrid nanofluid consists of copper(Cu)and alumina(Al2O3)nanoparticles which are added into water to form Cu-Al2O3/water hybrid *** similarity equations are obtained using a similarity ***,the function bvp4c in MATLAB is utilised to obtain the numerical *** dual solutions are found for limited values of the stretching/shrinking ***,the turning point arises in the shrinking region(λ<0).Besides,the presence of hybrid nanoparticles enhances the heat transfer rate,skin friction coefficient,and the concentration *** addition,the concentration gradient is intensified with the heterogeneous reaction but the effect is opposite for the homogeneous ***,the velocity and the concentration increase,whereas the temperature decreases for higher compositions of hybrid ***,the concentration decreases for larger values of homogeneous and heterogeneous *** is consistent with the fact that higher reaction rate cause a reduction in the rate of ***,the velocity and the temperature are not affected by these *** these observations,it can be concluded that the effect of the homogeneous and heterogeneous reactions is dominant on the concentration *** solutions are obtained for a single value of *** temporal stability analysis shows that only one of these solutions is stable and thus physically reliable over time.

关键词： Homogeneous-heterogeneous reactions stagnation point hybrid nanofluid shrinking sheet dual solutions stability analysis

Magnetohydrodynamic flow over a moving plate in a parallel stream with an induced magnetic field

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International Journal of Minerals,Metallurgy and Materials 2010年第4期17卷 397-402页

作者： Khamisah Jafar Roslinda Nazar anuar ishak Ioan Pop Faculty of Engineering and Build Environment Universiti Kebangsaan Malaysia Bangi 43600SelangorMalaysia School of Mathematical Sciences Universiti Kebangsaan Malaysia Bangi 43600SelangorMalaysia Faculty of Mathematics University of Cluj R-3400Cluj CP 253Romania

A viscous boundary layer flow of an electrically-conducting fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate was investigated. The goveming system of partial differential equations was transformed to ordinary differential equations using a similarity transformation. The similarity equations were then solved numerically using a finite-difference scheme known as the Keller-box method. Numerical results of the skin friction coefficient, velocity profiles, and the induced magnetic field profiles were obtained for some values of the moving parameter, magnetic parameter, and reciprocal magnetic Prandtl number. The results indicate that dual solutions exist when the plate and the fluid move in the opposite directions up to a critical value of the moving parameter, whose value depends on the value of the magnetic parameter.

关键词： boundary layer induced magnetic field magnetohydrodynamic flow moving plate

Stagnation Point Flow Over a Permeable Stretching/Shrinking Sheet with Chemical Reaction and Heat Source/Sink

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Computer Modeling in Engineering & Sciences 2019年第7期120卷 203-214页

作者： Izyan Syazana Awaludin anuar ishak Ioan Pop Faculty of Management Multimedia University63100 CyberjayaSelangorMalaysia School of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan Malaysia43600 UKM BangiSelangorMalaysia Department of Mathematics Babes-Bolyai University400084 Cluj-NapocaRomania

The present study considers the magnetohydrodynamic(MHD)stagnation point flow with chemical reaction effect over a permeable stretching/shrinking *** partial differential equations are reduced to a set of ordinary differential equations using a similarity *** transformed equations are then solved numerically by employing the bvp4c function available in the MATLAB *** numerical results illustrate the effects of several parameters on the skin friction coefficient,local Nusselt number and the local Sherwood *** solutions are obtained for a certain range of *** temporal stability analysis is carried out to determine which one of these solutions is stable and thus physically reliable in a long run.

关键词： Shrinking dual solutions stability stagnation flow

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International Journal of Minerals,Metallurgy and Materials 2010年第2期17卷 149-153页

作者： anuar ishak Nor Azizah Yacob Roslinda Nazar Ioan Pop School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Faculty of Computers and Mathematical Sciences Universiti Teknologi MARA Pahang Faculty of Mathematics University of Cluj

The steady laminar boundary layer flow adjacent to a vertical plate with prescribed surface temperature immersed in an incompressible viscous fluid,where the effect of thermal radiation was taken into consideration,was *** governing partial differential equations were transformed into a system of ordinary differential equations using similarity transformation,before being solved numerically by the shooting *** assisting and opposing buoyant flows were *** is found that dual solutions exist for both cases. Moreover,numerical results show that the heat transfer rate at the surface decreases in the presence of the radiation effect.

关键词： boundary layer heat transfer thermal radiation similarity solution

On the stability of the flow over a shrinking cylinder with prescribed surface heat flux

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Propulsion and Power Research 2020年第2期9卷 181-187页

作者： Izyan Syazana Awaludin Rokiah Ahmad anuar ishak Faculty of Management Multimedia University63100CyberjayaSelangorMalaysia Department of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan Malaysia43600UKMBangiSelangorMalaysia

This study investigates the steady stagnation point flow and heat transfer passes a horizontal shrinking permeable *** free stream velocity and the prescribed surface heat flux arc assumed to vary linearly with the distance from a fixed point on the *** partial differential equations governing the flow and heat transfer are transformed into a system of ordinary differential equations via similarity *** equations are solved numerically for several values of the governing parameters,such as suction parameter s,curvature parameter γ,and shrinking parameter λ.The equations arc solved numerically by employing the boundary value problem solver package available in MATLAB software,*** effects of the governing parameters on the skin friction coefficient,surface temperature,velocity,and temperature profiles are *** the existence of dual solutions in the present study for a certain range of the curvature parameter,stability analysis is carried out to determine which one of the solutions is stable as time *** outcome of the stability analysis demonstrates that only the first solution,with lower boundary layer thickness,appeared to be stable and thus physically reliable,while the other is *** is also discovered that the boundary layer separation is delayed by reducing the curvature parameter.

关键词： Stagnation point flow Heat transfer Shrinking cylinder Prescribed surface heat Stability analysis