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Impact of anisotropic slip on the stagnation-point flow past a stretching/shrinking surface of the Al2O3-Cu/H2O hybrid nanofluid

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Applied Mathematics and Mechanics(English Edition) 2020年第9期41卷 1401-1416页

作者： N.A.ZAINAL r.nazar K.NAGANTHrAN I.POP Department of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaUKM Bangi 43600SelangorMalaysia Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan Universiti Teknikal Malaysia MelakaDurian Tunggal 76100MelakaMalaysia Department of Mathematics Babes-Bolyai UniversityCluj-Napoca 400084Romania

The characteristics of heat transfer in the three-dimensional stagnationpoint flow past a stretching/shrinking surface of the Al2O3-Cu/H2O hybrid nanofluid with anisotropic slip are *** partial differential equations are converted into a system of ordinary differential equations by valid similarity *** simplified mathematical model is solved computationally by the bvp4c approach in the MATLAB operating *** solving method is capable of generating more than one solutions when suitable initial guesses are *** results are proven to have dual solutions,which consequently lead to the application of a stability analysis that verifies the achievability of the first *** findings reveal infinite values of the dual solutions at several measured parameters causing the non-appearance of the turning points and the critical *** skin friction increases with the addition of nanoparticles,while the escalation of the anisotropic slip effect causes a reduction in the heat transfer rate.

关键词： anisotropic slip three-dimensional flow stagnation-point hybrid nanofluid

Unsteady flow of a Maxwell hybrid nanofluid past a stretching/shrinking surface with thermal radiation effect

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Applied Mathematics and Mechanics(English Edition) 2021年第10期42卷 1511-1524页

The non-Newtonian fluid model reflects the behavior of the fluid flow in global manufacturing progress and increases product ***,the present work strives to analyze the unsteady Maxwell hybrid nanofluid toward a stretching/shrinking surface with thermal radiation effect and heat *** partial derivatives of the multivariable differential equations are transformed into ordinary differential equations in a specified form by applying appropriate *** resulting mathematical model is clarified by utilizing the bvp4c *** control parameters are investigated to see how they affect the *** results reveal that the skin friction coefficient increases by adding nanoparticles and suction *** inclusion of the Maxwell parameter and thermal radiation effect both show a declining tendency in the local Nusselt number,and as a result,the thermal flow efficacy is *** reduction of the unsteadiness characteristic,on the other hand,considerably promotes the improvement of heat transfer *** existence of more than one solution is proven,and this invariably leads to an analysis of solution stability,which validates the first solution viability.

关键词： non-Newtonian fluid Maxwell fluid hybrid nanofluid stretching/shrinking surface thermal radiation

MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field

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Applied Mathematics and Mechanics(English Edition) 2011年第4期32卷 409-418页

作者： F.M.ALI r.nazar N.M.ArIFIN I.POP Department of Mathematics Institute of Mathematical ResearchUniversiti Putra Malaysia School of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan Malaysia Faculty of Mathematics University of Cluj

The problem of the steady magnetohydrodynamic （MHD） stagnation-point flow of an incompressible viscous fluid over a stretching sheet is studied. The effect of an induced magnetic field is taken into account. The nonlinear partial differential equations are transformed into ordinary differential equations via the similarity transformation. The transformed boundary layer equations are solved numerically using the shooting method. Numerical results are obtained for various magnetic parameters and Prandtl numbers. The effects of the induced magnetic field on the skin friction coefficient, the local Nusselt number, the velocity, and the temperature profiles are presented graphically and discussed in detail.

关键词： boundary layer heat transfer induced magnetic field numerical solution magnetohydrodynamic (MHD) flow stretching sheet

Mixed convection stagnation-point flow on vertical stretching sheet with external magnetic field

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Applied Mathematics and Mechanics(English Edition) 2014年第2期35卷 155-166页

作者： F.M.ALI r.nazar N.M.ArIFIN I.POP Department of Mathematics & Institute for Mathematical research Universiti Putra Malaysia UPM School of Mathematical Sciences Faculty of Science & TechnologyUniversitiKebangsaan Malaysia UKM Department of Mathematics Babes-Bolyai University

The problem of steady laminar magnetohydrodynamic （MHD） mixed con- vection stagnation-point flow of an incompressible viscous fluid over a vertical stretch- ing sheet is studied. The effect of an externally magnetic field is taken into account. The transformed boundary layer equations are solved numerically by using an implicit finite-difference scheme. Numerical results are obtained for various values of the mixed convection parameter, Hartmann number, and Prandtl number. The effects of an exter- nally magnetic field on the skin friction coefficient, local Nusselt number, velocity, and temperature profiles for both A 〉 1 and A ~ 1, where A is the velocity ratio parameter, are presented graphically and discussed in detail. Both assisting and opposing flows are considered, and it is found that dual solutions exist for the opposing flow.

关键词： boundary layer mixed convection magnetohydrodynamic (MHD) numer-ical result stagnation-point stretching sheet

Effect of non-uniform temperature gradient and magnetic field on onset of Marangoni convection heated from below by a constant heat flux

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Applied Mathematics and Mechanics(English Edition) 2010年第7期31卷 797-804页

作者： S.P.M.ISA N.M.ArIFIN r.nazar M.N.SAAD Institute for Mathematical research Universiti Putra Malaysia School of Mathematical Sciences Universiti Kebangsaan Malaysia

This paper investigates the effect of non-uniform temperature gradient and magnetic field on Marangoni convection in a horizontal fluid layer heated from below and cooled from above with a constant heat flux. A linear stability analysis is performed. The influence of various parameters on the convection onset is analyzed. Six non-uniform basic temperature profiles are considered, and some general conclusions about their desta- bilizing effects are presented.

关键词： Maxangoni convection non-uniform temperature magnetic field

Summarizing Software Artifacts： A Literature review

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Journal of Computer Science & Technology 2016年第5期31卷 883-909页

作者： Najam nazar Yan Hu He Jiang Key Laboratory for Ubiquitous Network and Service Software of Liaoning Province School of Software Dalian University of Technology Dalian 116621 China State Key Laboratory of Software Engineering Wuhan University Wuhan 430072 China

This paper presents a literature review in the field of summarizing software artifacts, focusing on bug reports, source code, mailing lists and developer discussions artifacts. From Jan. 2010 to Apr. 2016, numerous summarization techniques, approaches, and tools have been proposed to satisfy the ongoing demand of improving software performance and quality and facilitating developers in understanding the problems at hand. Since aforementioned artifacts contain both structured and unstructured data at the same time, researchers have applied different machine learning and data mining techniques to generate summaries. Therefore, this paper first intends to provide a general perspective on the state of the art, describing the type of artifacts, approaches for summarization, as well as the common portions of experimental procedures shared among these artifacts. Moreover, we discuss the applications of summarization, i.e., what tasks at hand have been achieved through summarization. Next, this paper presents tools that are generated for summarization tasks or employed during summarization tasks. In addition, we present different summarization evaluation methods employed in selected studies as well as other important factors that are used for the evaluation of generated summaries such as adequacy and quality. Moreover, we briefly present modern communication channels and complementarities with commonalities among different software artifacts. Finally, some thoughts about the challenges applicable to the existing studies in general as well as future research directions are also discussed. The survey of existing studies will allow future researchers to have a wide and useful background knowledge on the main and important aspects of this research field.

关键词： mining software repositories mining software engineering data machine learning summarizing softwar eartifacts summarizing source code

Boundary layer flow and heat transfer of a micropolar fluid near the stagnation point on a stretching vertical surface with prescribed skin friction

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International Journal of Minerals,Metallurgy and Materials 2011年第4期18卷 502-507页

作者： Kartini Ahmad roslinda nazar Ioan Pop Centre for Foundation Studies International Islamic University Malaysia46350 Petaling JayaSelangorMalaysia School of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan Malaysia43600 UKM BangiSelangorMalaysia Faculty of Mathematics University of ClujR-3400 ClujCP 253Romania

The steady laminar mixed convection boundary layer flow and heat transfer of a micropolar fluid near the stagnation point on a stretched vertical surface with prescribed skin friction were *** governing partial differential equations were transformed into a system of ordinary differential equations,which were then solved numerically using the shooting *** for the stretching velocity,the local Nusselt number,the temperature,and the velocity profiles are presented for various values of the mixed convection parameter λ and material parameter K when the Prandtl number is equal to *** assisting（heated plate） and opposing（cooled plate） flow regions are *** is found that dual solutions exist for both assisting and opposing flows.

关键词： boundary layer flow dual solutions micropolar fluids mixed convection skin friction

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 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