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Applied Mathematics and Mechanics(English Edition) 2018年第7期39卷 1057-1058页

作者： i.pop Department of Mathematics Babes-Bolyai University

The present comment concerns some doubtful results included in the abovepaper.

关键词： local inertia parameter magnetic parameter Eckert number

MHD flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge

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Applied Mathematics and Mechanics(English Edition) 2020年第3期41卷 507-520页

作者： i.WAiNi A.iSHAK i.pop Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan Universiti Teknikal Malaysia MelakaHang Tuah JayaDurian Tunggal 76100MelakaMalaysia Department of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaUKM Bangi 43600SelangorMalaysia Department of Mathematics Babe¸s-Bolyai UniversityCluj-Napoca 400084Romania

The steady flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge with magnetic field and radiation effects are studied. The governing equations of the hybrid nanofluid are converted to the similarity equations by techniques of the similarity transformation. The bvp4c function that is available in MATLAB software is utilized for solving the similarity equations numerically. The numerical results are obtained for selected different values of parameters. The results discover that two solutions exist, up to a certain value of the stretching/shrinking and suction strengths. The critical value in which the solution is in existence decreases as nanoparticle volume fractions for copper and wedge angle parameter increase. it is also found that the hybrid nanofluid enhances the heat transfer rate compared with the regular nanofluid. The reduction of the heat transfer rate is observed with the increase in radiation parameter. The temporal stability analysis is performed to analyze the stability of the dual solutions, and it is revealed that only one of them is stable and physically reliable.

关键词： dual solution hybrid nanofluid stretching/shrinking wedge magnetic field radiation stability analysis

Magnetohydrodynamic flow past a shrinking vertical sheet in a dusty hybrid nanofluid with thermal radiation

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Applied Mathematics and Mechanics(English Edition) 2022年第1期43卷 127-140页

作者： i.WAiNi A.iSHAK i.pop Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan Universiti Teknikal Malaysia MelakaDurian Tunggal76100Malaysia Department of Mathematical Sciences Universiti Kebangsaan MalaysiaBangi43600Malaysia Department of Mathematics Babeş-Bolyai UniversityCluj-Napoca400084Romania

The magnetohydrodynamic(MHD)mixed convection flow past a shrinking vertical sheet with thermal radiation is ***,the effects of Cu-Al_(2)O_(3) nanoparticles and dust particles are *** similarity variables reduce the governing equations to the similarity equations,which are then solved *** outcome shows that,for the shrinking case,the solutions are not *** rate of heat transfer and the friction factor enlarge with increasing the values of the copper nanoparticle volume fraction as well as the magnetic ***,the assisting flow and the rise of the thermal radiation reduce these *** solutions are found,and the boundary layer separation is dependent on the mixed convection parameter.

关键词： dusty fluid hybrid nanofluid magnetohydrodynamic(MHD) mixed convection shrinking sheet thermal radiation dual solution

Fluid flow driven along microchannel by its upper stretching wall with electrokinetic effects

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Applied Mathematics and Mechanics(English Edition) 2018年第3期39卷 395-408页

作者： Hang XU i.pop Q.SUN Collaborative innovation Center for Advanced Ship and Deep-Sea Exploration State Key Lab of Ocean EngineeringSchool of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong University Department of Mathematics Babe§-Bolyai University Particulate Fluids Processing Centre Department of Chemical EngineeringThe University of Melbourne

We develop a mathematical model to describe the flow in a microchannel driven by the upper stretching wall of the channel in the presence of electrokinetic effects. in this model, we avoid imposing any unphysical boundary condition, for instance, the zero electrostatic potential in the middle of the channel. Using the similarity transformation, we employ the homotopy analysis method （HAM） to get the analytical solution of the model. in our approach, the unknown pressure constant and the integral constant related to the electric potential are solved spontaneously by using the proper boundary conditions on the channel walls, which makes our model consistent with the commonly accepted models in the field of fluid mechanics. it is expected that our model can offer a general and proper way to study the flow phenomena in microchannels.

关键词： microchannel electrokinetic effect stretching wall electro-viscous flowmodel

Mixed convection boundary layer flow past vertical flat plate in nanofluid: case of prescribed wall heat flux

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Applied Mathematics and Mechanics(English Edition) 2015年第8期36卷 1091-1104页

作者： R.TRiMBiTAS T.GROSAN i.pop Department of Mathematics Babes-Bolyai University

An analysis is carried out to investigate the steady mixed convection bound- ary layer flow of a water based nanofluid past a vertical semi-infinite flat plate. Using an appropriate similarity transformation, the governing partial differential equations are transformed into the coupled, nonlinear ordinary （similar） differential equations, which are then solved numerically for the Prandtl number Pr = 6.2. The skin friction coeffi- cient, the local Nusselt number, and the velocity and temperature profiles are presented graphically and discussed. Effects of the solid volume fraction φ and the mixed convection parameter λ on the fluid flow and heat transfer characteristics are thoroughly examined. Different from an assisting flow, it is found that the solutions for an opposing flow are non-unique. in order to establish which solution branch is stable and physically realizable in practice, a stability analysis is performed.

关键词： Nanofluid boundary layer mixed convection heat flux dual solution

Mixed convection in gravity-driven nano-liquid film containing both nanoparticles and gyrotactic microorganisms

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Applied Mathematics and Mechanics(English Edition) 2015年第2期36卷 163-178页

作者： A.RAEES Hang XU Qiang SUN i.pop State Key Laboratory of Ocean Engineering School of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong University Department of Mechanical Engineering National University of Singapore Department of Mathematics Babes-Bolyai University

Analysis of a gravity-induced film flow of a fluid containing both nanoparticles and gyrotactic microorganisms along a convectively heated vertical surface is *** Buongiorno model is applied. Two kinds of boundary conditions, the passive and the active boundary conditions, are considered to investigate this film flow *** a set of similarity variables, the ordinary differential equations that describe the conservation of the momentum, the thermal energy, the nanoparticles, and the microorganisms are derived and then solved numerically by an efficient finite difference *** effects of various physical parameters on the profiles of momentum, thermal energy,nanoparticles, microorganisms, local skin friction, local Nusselt number, local wall mass flux, and local wall motile microorganisms flux are investigated. it is expected that the passively controlled nanofluid model can be much more easily achieved and applied in real circumstances than the actively controlled model.

关键词： gravity-driven nanofluid film flow bioconvection passively controlled model actively controlled model gyrotactic microorganisms convective boundary condition

Flow and heat transfer of nanofluid past stretching/shrinking sheet with partial slip boundary conditions

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Applied Mathematics and Mechanics(English Edition) 2014年第11期35卷 1401-1410页

作者： S.MANSUR A.iSHAK i.pop Department of Mathematics and Statistics Faculty of Science Technology and Human Development Universiti Tun Hussein Onn Malaysia Centre of Modelling and Data Analysis School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Department of Mathematics Babes-Bolyai University

The boundary layer flow of a nanofluid past a stretching/shrinking sheet with hydrodynamic and thermal slip boundary conditions is studied. Numerical solutions to the governing equations are obtained using a shooting method. The results are found for the skin friction coefficient, the local Nusselt number, and the local Sherwood number as well as the velocity, temperature, and concentration profiles for some values of the velocity slip parameter, thermal slip parameter, stretching/shrinking parameter, thermophoresis parameter, and Brownian motion parameter. The results show that the local Nusselt number, which represents the heat transfer rate, is lower for higher values of thermal slip parameter, thermophoresis parameter, and Brownian motion parameter.

关键词： boundary layer heat transfer nanofluid stretching/shrinking dual solution

Unsteady three-dimensional boundary layer flow due to a permeable shrinking sheet

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Applied Mathematics and Mechanics(English Edition) 2010年第11期31卷 1421-1428页

作者： N.BACHOK A.iSHAK i.pop Department of Mathematics Faculty of ScienceUniversiti Putra Malaysia School of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan Malaysia institute of Mathematical Sciences Faculty of ScienceUniversity of Malaya Faculty of Mathematics University of Cluj

The unsteady viscous flow over a continuously permeable shrinking surface is studied. Similarity equations are obtained through the application of similar transformation techniques. Numerical techniques are used to solve the similarity equations for different values of the unsteadiness parameter, the mass suction parameter, the shrinking parameter and the Prandtl number on the velocity and temperature profiles as well as the skin friction coefficient and the Nusselt number. it is found that, different from an unsteady stretching sheet, dual solutions exist in a certain range of mass suction and unsteadiness parameters.

关键词： unsteady three-dimensional flow boundary layer shrinking sheet dual solution

Mixed convection boundary layer flow near stagnation-point on vertical surface with slip

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Applied Mathematics and Mechanics(English Edition) 2011年第12期32卷 1599-1606页

作者： F.AMAN A.iSHAK i.pop Faculty of Science Arts and Heritage Universiti Tun Hussein Onn Malaysia 86400 Parit Raja Batu Pahat Johor Malaysia School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia 43600 UKM Bangi Selangor Malaysia Faculty of Mathematics University of Cluj R-3400 Cluj CP 253 Romania

This paper considers the steady mixed convection boundary layer flow of a viscous and incompressible fluid near the stagnation-point on a vertical surface with the slip effect at the boundary. The temperature of the sheet and the velocity of the external flow are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into a system of ordinary differential equations, which are then solved numerically by a shooting method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both assisting and opposing flows are considered. The results indicate that for the opposing flow, the dual solutions exist in a certain range of the buoyancy parameter, while for the assisting flow, the solution is unique. in general, the velocity slip increases the heat transfer rate at the surface, while the thermal slip decreases it.

关键词： dual solution heat transfer mixed convection stagnation-point slip

Stretching surface in rotating viscoelastic fluid

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Applied Mathematics and Mechanics(English Edition) 2013年第8期34卷 945-952页

作者： K.ZAiMi A.iSHAK i.pop institute of Engineering Mathematics Universiti Malaysia Perlis School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Department of Mathematics Babe s-Bolyai University

The boundary layer flow over a stretching surface in a rotating viscoelastic fluid is considered. By applying a similarity transformation, the governing partial differ- ential equations are converted into a system of nonlinear ordinary differential equations before being solved numerically by the Keller-box method. The effects of the viscoelastic and rotation parameters on the skin friction coefficients and the velocity profiles are thor- oughly examined. The analysis reveals that the skin friction coefficients and the velocity in the x-direction increase as the viscoelastic parameter and the rotation parameter in- crease. Moreover, the velocity in the y-direction decreases as the viscoelastic parameter and the rotation parameter increase.

关键词： boundary layer stretching surface rotating viscoelastic fluid similaritytransformation