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Journal of Hydrodynamics 2015年第6期27卷 945-954页

作者： GANGA B. SARANYA S. VISHNU GANESH N. ABDUL HAKEEM A.K. Department of Mathematics Providence College for Women Department of Mathematics Sri Ramakrishna Mission Vidyalaya College of Arts and Science

In this paper we analyzed the effects of space and temperature dependent intemal heat generation/absorption （non-uniform heat source/sink） on magnetohydrodynamic boundary layer flow of water based nanofluid over a stretching sheet with different nanoparticles. The flow is generated due to linear stretching of the sheet and influenced by uniform magnetic field, which is applied normally to the stretching sheet. A scaling group of transformation is used to reduce the governing momentum and energy equations into non-linear ordinary differential equations. The resulting differential equations are solved analytically using hypergeometric functions and numerically by the fourth order Runge-Kutta method with shooting technique. The influence of nanoparticle volume fraction, magnetic field, Prandtl number, non uniform heat source/sink, local skin friction coefficient and reduced Nusselt number are investigated for different nanoparticles.

关键词： nanofluid MHD heat generation/absorption stretching sheet

Adomian decomposition method for Hall and ion-slip effects on mixed convection flow of a chemically reacting Newtonian fluid between parallel plates with heat generation/absorption

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Propulsion and Power Research 2017年第4期6卷 296-306页

作者： Ch.Ram Reddy O.Surender Ch.Venkata Rao T.Pradeepa Department of Mathematics National Institute of TechnologyWarangal 506004India Department of Mathematics National Institute of TechnologyMizoram 796012India

This paper analyzes the heat and mass transfer characteristics on mixed convective fully developed flow in an electrically conducting Newtonian fluid between vertical parallel *** chemical reaction,heat generation,Hall and ion-slip effects are taken into *** using similarity transformations the nonlinear governing equations are reduced into dimensionless form and hence solved using Adomian decomposition method(ADM).The influence of magnetic parameter,Hall parameter,ion-slip parameter,chemical reaction parameter,and heat generation/absorption parameter on non-dimensional velocities,temperature and concentration profiles are exhibited *** addition,the numerical data for skin friction,heat and mass transfer rates are shown in tabular form.

关键词： Mixed convection heat generation/absorption Hall and ion-slip effects Chemical reaction Adomian decomposition method(ADM)

MHD flow of Boungiorno model nanofluid over a vertical plate with internal heat generation/absorption

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Propulsion and Power Research 2016年第3期5卷 211-222页

作者： B.Ganga S.Mohamed Yusuff Ansari N.Vishnu Ganesh A.K.Abdul Hakeem Department of Mathematics Providence College for WomenCoonoor 643104India Department of Mathematics Jamal Mohamed CollegeTrichy 620020India Department of Mathematics Sri Ramakrishna Mission Vidyalaya College of Arts&ScienceCoimbatore 641020India

A mathematical analysis has been carried out to investigate the effect of internal heat generation/absorption on steady two-dimensional radiative magnetohydrodynamics(MHD)boundary-layer flow of a viscous,incompressible nanofluid over a vertical plate.A system of governing nonlinear PDEs is converted into a set of nonlinear ODEs by suitable similarity transformations and then solved analytically using HAM and numerically by the fourth order Runge–Kutta integration scheme with shooting *** effects of different controlling parameters on the dimensionless velocity,temperature and nanoparticle volume fraction profiles are discussed *** reduced Nusslet number and the local Sherwood number are *** is found that the nanosolid volume fraction profile decreases in the presence of heat generation and increases in the case of heat absorption and a reverse trend is observed in velocity *** excellent agreement is observed between present analytical and numerical ***,comparisons have been made with bench mark solutions for a special case and obtained a very good agreement.

关键词： heat generation/absorption Homotopy analysis method Magnetohydrodynamics(MHD) Nanofluid Vertical plate

Computational Analysis of the Effect of Nano Particle Material Motion on Mixed Convection Flow in the Presence of heat generation and absorption

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Computers, Materials & Continua 2020年第11期65卷 1809-1823页

作者： Muhammad Ashraf Amir Abbas Saqib Zia Yu-Ming Chu Ilyas Khan Kottakkaran Sooppy Nisar Department of Mathematics Faculty of ScienceUniversity of SargodhaSargodha40100Pakistan Department of Mathematics COMSATS University IslamabadIslamabad44000Pakistan 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 City72915Vietnam Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

The present study is concerned with the physical behavior of the combined effect of nano particle material motion and heat generation/absorption due to the effect of different parameters involved in prescribed flow *** formulation of the flow model is based on basic universal equations of conservation of momentum,energy and *** prescribed flow model is converted to non-dimensional form by using suitable *** obtained transformed equations are solved numerically by using finite difference *** the analysis of above said behavior the computed numerical data for fluid velocity,temperature profile,and mass concentration for several constraints that is mixed convection parameterλt,modified mixed convection parameterλc,Prandtl number Pr,heat generation/absorption parameterδ,Schmidt number Sc,thermophoresis parameter Nt,and thermophoretic coefficient k are sketched in graphical *** results for skin friction,heat transfer rate and the mass transfer rate are tabulated for various emerging physical *** is reported that in enhancement in heat,generation boosts up the fluid temperature at some positions of the surface of the *** heat absorption parameter is decreased temperature field increases at position X=π/4 on the other hand,no alteration at other considered circumferential positions is noticed.

关键词： Nano material mixed convection finite difference method heat generation/absorption spheres

Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid

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Applied Mathematics and Mechanics(English Edition) 2021年第8期42卷 1205-1218页

作者： Tiehong ZHAO M.R.KHAN Yuming CHU A.ISSAKHOV R.ALI S.KHAN Department of Mathematics Hangzhou Normal UniversityHangzhou 311121China LSEC and ICMSEC Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 1001900China School of Mathematical Science University of Chinese Academy of SciencesBeijing 1001900China Department of Mathematics Huzhou UniversityHangzhou 313000Zhejiang ProvinceChina Department of Mathematical and Computer Modeling Al-Farabi Kazakh National UniversityAlmaty 050040Kazakhstan Department of Mathematical and Computer Modeling Kazakh British-Technical UniversityAlmaty 050000Kazakhstan School of Mathematics and Statistics Central South UniversityChangsha 410083China

This work examines the entropy generation with heat and mass transfer in magnetohydrodynamic(MHD)stagnation point flow across a stretchable *** heat transport process is investigated with respect to the viscous dissipation and thermal radiation,whereas the mass transport is observed under the influence of a chemical *** irreversibe factor is measured through the application of the second law of *** established non-linear partial differential equations(PDEs)have been replaced by acceptable ordinary differential equations(ODEs),which are solved numerically via the bvp4 c method(built-in package in MATLAB).The numerical analysis of the resulting ODEs is carried out on the different flow parameters,and their effects on the rate of heat transport,friction drag,concentration,and the entropy generation are *** is determined that the concentration estimation and the Sherwood number reduce and enhance for higher values of the chemical reaction parameter and the Schmidt number,although the rate of heat transport is increased for the Eckert number and heat generation/absorption parameter,*** entropy generation augments with boosting values of the Brinkman number,and decays with escalating values of both the radiation parameter and the Weissenberg number.

关键词： tangent hyperbolic fluid magnetohydrodynamic(MHD) viscous dissipation stagnation point flow heat generation/absorption thermal radiation

Stability analysis and modeling for the three-dimensional Darcy-Forchheimer stagnation point nanofluid flow towards a moving surface

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Applied Mathematics and Mechanics(English Edition) 2021年第3期42卷 357-370页

作者： Yuming CHU M.I.KHAN M.I.U.REHMAN S.KADRY S.QAYYUM M.WAQAS Department of Mathematics Huzhou UniversityHuzhou 313000Zhejiang ProvinceChina Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha 410114China Department of Mathematics Riphah International UniversityFaisalabad CampusFaisalabad 38000Pakistan Department of Mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Department of Mathematics and Computer Science Beirut Arab UniversityBeirut 11072809Lebanon NUTECH School of Applied Sciences and Humanities National University of TechnologyIslamabad 44000Pakistan

In this research,the three-dimensional(3D)steady and incompressible laminar Homann stagnation point nanofluid flow over a porous moving surface is *** disturbance in the porous medium has been characterized by the Darcy-Forchheimer *** slip for viscous fluid is *** energy equation is organized in view of radiative heat flux which plays an important role in the heat transfer *** governing flow expressions are first altered into first-order ordinary ones and then solved numerically by the shooting *** solutions are obtained for the velocity,skin friction coefficient,temperature,and Nusselt number subject to sundry flow parameters,magnetic parameter,Darcy-Forchheimer number,thermal radiation parameter,suction parameter,and dimensionless slip *** this research,the main consideration is given to the engineering interest like skin friction coefficient(velocity gradient or surface drag force)and Nusselt number(temperature gradient or heat transfer rate)and discussed numerically through *** conclusion,it is noticed from the stability results that the upper branch solution(UBS)is more reliable and physically stable than the lower branch solution(LBS).

关键词： viscous slip Darcy-Forchheimer relation thermal radiation stagnation point flow dual solution heat generation/absorption stability result

Hydromagnetic thin film flow of Casson fluid in non-Darcy porous medium with Joule dissipation and Navier＇s partial slip

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Applied Mathematics and Mechanics(English Edition) 2017年第11期38卷 1613-1626页

作者： G.S.SETH R.TRIPATHI M.K.MISHRA Department of Applied Mathematics Indian Institute of Technology (India School of Mines) Dhanbad 826004 India

In this paper, the effects of viscous and Ohmic heating and heat genera- tion/absorption on magnetohydrodynamic flow of an electrically conducting Casson thin film fluid over an unsteady horizontal stretching sheet in a non-Darcy porous medium are investigated. The fluid is assumed to slip along the boundary of the sheet. Similar- ity transformation is used to translate the governing partial differential equations into ordinary differential equations. A shooting technique in conjunction with the 4th order Runge-Kutta method is used to solve the transformed equations. Computations are car- ried out for velocity and temperature of the fluid thin film along with local skin friction coefficient and local Nusselt number for a range of values of pertinent flow parameters. It is observed that the Casson parameter has the ability to enhance free surface velocity and film thickness, whereas the Forchheimer parameter, which, is responsible for the inertial drag has an adverse effect on the fluid velocity inside the film. The velocity slip along the boundary tends to decrease the fluid velocity. This investigation has various applications in engineering and in practical problems such as very large scale integration （VLSI） of electronic chips and film coating.

关键词： fluid thin film non-Darcy medium velocity slip unsteady stretching sheet,Joule dissipation heat generation/absorption

Melting heat and thermal radiation effects in stretched flow of an Oldroyd-B fluid

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Applied Mathematics and Mechanics(English Edition) 2017年第7期38卷 957-968页

作者： T.HAYAT A.KIRAN M.IMTIAZ A.ALSAEDI Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics Faculty of Science King Abdulaziz University

The incompressible flow of a non-Newtonian fluid with mixed convection along a stretching sheet is analyzed. The heat transfer phenomenon is discussed through thermal radiation. The effects of the melting heat transfer and heat generation/absorption are also taken. Suitable transformations are utilized to attain the nonlinear ordinary differential expressions. The convergent series solutions are presented. The fluid flow, temperature, and surface heat transfer rate are examined graphically. It is observed that the velocity decreases when the relaxation time increases while increases when the retardation time is constant. The results also reveal that the temperature distribution reduces when the radiation parameter increases.

关键词： magnetohydrodynamic (MHD) Oldroyd-B fluid mixed convection meltingheat transfer thermal radiation heat generation/absorption

Modeling and numerical analysis of nanoliquid (titanium oxide, graphene oxide) flow viscous fluid with second order velocity slip and entropy generation

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Chinese Journal of Chemical Engineering 2021年第3期34卷 17-25页

作者： M.Ijaz Khan Seifedine Kadry Yuming Chu M.Waqas Department of Mathematics Riphah International UniversityFaisalabad CampusFaisalabad 38000Pakistan Department of Mathematics and Computer Science Beirut Arab UniversityBeirutLebanon Department of Mathematics Huzhou UniversityHuzhou 313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha 410114China NUTECH School of Applied Sciences and Humanities National University of TechnologyIslamabad 44000Pakistan

The prime objective of the present communication is to examine the entropy-optimized second order velocity slip Darcy–Forchheimer hybrid nanofluid flow of viscous material between two rotating *** conducting flow is considered and saturated through Darcy–Forchheimer *** the disks are rotating with different angular frequencies and stretches with different *** graphene oxide and titanium dioxide are considered for hybrid nanoparticles and water as a continuous phase *** heating,heat generation/absorption and viscous dissipation effects are incorporated in the mathematical modeling of energy ***,binary chemical reaction with activation energy is *** total entropy rate is calculated in the presence of heat transfer irreversibility,fluid friction irreversibility,Joule heating irreversibility,porosity irreversibility and chemical reaction irreversibility through thermodynamics second *** nonlinear governing equations are first converted into ordinary differential equations through implementation of appropriate similarity transformations and then numerical solutions are calculated through Built-in-Shooting *** of sundry flow variables on the entropy generation rate,velocity,concentration,Bejan number,temperature are discussed graphically for both graphene oxide and titanium dioxide hybrid *** engineering interest like skin friction coefficient and Nusselt number are computed numerically and presented through *** is noticed from the obtained results that entropy generation rate and Bejan number have similar effects versus diffusion *** entropy generation rate is more against the higher Brinkman number.

关键词： Darcy-Forchheimer porous medium Titanium dioxide and graphene oxide nanoparticles Second order velocity slip Convective boundary condition Activation energy heat generation/absorption

Darcy-Forchheimer flow with nonlinear mixed convection

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Applied Mathematics and Mechanics(English Edition) 2020年第11期41卷 1685-1696页

作者： T.HAYAT F.HAIDER A.ALSAEDI Department of Mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Nonlinear Analysis and Applied Mathematics(NAAM)Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia

An analysis of the mixed convective flow of viscous fluids induced by a nonlinear inclined stretching surface is *** and mass transfer phenomena are analyzed with additional effects of heat generation/absorption and activation energy,*** nonlinear Darcy-Forchheimer relation is *** dimensionless problem is obtained through appropriate *** series solutions are obtained by utilizing an optimal homotopic analysis method(OHAM).Graphs depicting the consequence of influential variables on physical quantities are *** in the velocity is observed through the local mixed convection parameter while an opposite trend of the concentration field is noted for the chemical reaction rate parameter.

关键词： Darcy-Forchheimer porous space nonlinear mixed convection viscous fluid heat generation/absorption activation energy optimal homotopic analysis method(OHAM)