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Dual Branches of MHD Three-Dimensional Rotating Flow of Hybrid Nanofluid on Nonlinear Shrinking Sheet

Computers, Materials & Continua 2021年第1期66卷 127-139页

作者： Liaquat Ali Lund zurni omar Ilyas Khan El-Sayed MSherif School of Quantitative Sciences Universiti Utara MalaysiaSintokKedah06010Malaysia KCAET Khairpur Mir’s Sindh Agriculture UniversityTandojamSindh70060Pakistan Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Center of Excellence for Research in Engineering Materials King Saud UniversityAl-Riyadh11421Saudi Arabia Electrochemistry and Corrosion Laboratory Department of Physical ChemistryNational Research CentreDokkiCairo12622Egypt

In this study,magnetohydrodynamic(MHD)three-dimensional(3D)flow of alumina(Al2O3)and copper(Cu)nanoparticles of an electrically conducting incompressible fluid in a rotating frame has been *** shrinking surface generates the flow that also has been *** single-phase(i.e.,Tiwari and Das)model is implemented for the hybrid nanofluid transport *** for alumina and copper nanomaterials in the water base fluid are *** layer approximations are used to reduce governing partial differential(PDEs)system into the system of the ordinary differential equations(ODEs).The three-stage Lobatto IIIa method in bvp4c solver is applied for solutions of the governing *** results have been shown to examine how velocity and temperature fields are influenced by various applied *** has been found that there are two branches for certain values of the suction/injection parameter b:The rise in copper volumetric concentration improved the velocity of hybrid nanofluid in the upper *** heat transfer rate improved for the case of hybrid nanofluid as compared to the viscous fluid and simple nanofluid.

关键词： Nonlinear surface viscous dissipation MHD Hybrid nanofluid two branches

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Temporal Stability Analysis of Magnetized Hybrid Nanofluid Propagating through an Unsteady Shrinking Sheet: Partial Slip Conditions

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Computers, Materials & Continua 2021年第2期66卷 1963-1975页

作者： Liaquat Ali Lund zurni omar Sumera Dero Yuming Chu Ilyas Khan Kottakkaran Sooppy Nisar School of Quantitative Sciences Universiti Utara Malaysia06010SintokKedahMalaysia KCAET Khairpur Mir’s Sindh Agriculture UniversityTandojam Sindh70060Pakistan IICT University of SindhJamshoro76080Pakistan Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi AldawaserSaudi Arabia

The unsteady magnetohydrodynamic(MHD)flow on a horizontal preamble surface with hybrid nanoparticles in the presence of the first order velocity and thermal slip conditions are ***(Al_(2)O_(3))and copper(Cu)are considered as hybrid nanoparticles that have been dispersed in water in order to make hybrid nanofluid(Cu-Al_(2)O_(3)/water).The system of similarity equations is derived from the system of partial differential equations(PDEs)by using variables of similarity,and their solutions are gotten with shooting method in the Maple *** certain ranges of unsteadiness and magnetic parameters,the presence of dual solutions can be ***,it is examined that layer separation is deferred due to the effect of the hybrid ***,the capacity of the thermal enhancement of Cu-Al_(2)O_(3)/water hybrid nanofluid is higher as compared to Al_(2)O_(3)/water based nanofluid and enhancements inCu are caused to rise the fluid temperature in both *** the last,solutions stability analyzes were also carried out and the first solution was found to be stable.

关键词： Cu−Al_(2)O_(3)/H2O hybrid nanofluid magnetic field slip conditions dual solutions

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Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface

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Journal of Central South University 2019年第5期26卷 1283-1293页

作者： Liaquat Ali LUND zurni omar Ilyas KHAN Sumera DERO School of Quantitative Sciences Universiti Utara Malaysia06010 SintokKedahMalaysia Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam

Model of Casson nanofluid flow over a nonlinear shrinking surface is *** of Tiwari and Das is applied to nanofluid comprising of sodium alginate with copper and *** governing nonlinear equations incorporating the effects of the viscous dissipation are transformed into boundary value problems (BVPs) of ordinary differential equations (ODEs) by using appropriate similarity *** resulting equations are converted into initial value problems (IVPs) using the shooting method which are then solved by Runge-Kutta method of fourth *** order to determine the stability of the dual solutions obtained,stability analysis is performed and discovered that the first (second) solution is stable (unstable) and physically realizable (unrealizable).Both the thickness of the thermal boundary layer as well as temperature increase when the Casson parameter (β) is increased in the second solution.

关键词： Cu-C6H9NaO7 Ag-C6H9NaO7 shrinking surface dual solution stability analysis nanofluid

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