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Magnetohydrodynamic(MHD)boundary layer heat and mass transfer characteristics of nanofluid over a vertical cone under convective boundary condition

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Propulsion and Power Research 2018年第4期7卷 308-319页

作者： P.Sudarsana Reddy P.Sreedevi Ali J.Chamkha Department of Mathematics RGM College of Eng.&TechNandyal 518501APIndia Mechanical Engineering Department Prince Mohammad Bin Fahd University.Al-Khobar 31952Kingdom of Saudi Arabia

This paper investigates the boundary layer flow,heat and mass transfercharacteristics over a vertical cone filled with nanofluid saturated porous medium with theinfluence of magnetic field,thermal radiation and first order chemical reaction subject to theconvective boundary *** transformation technique is used for the purpose ofconverting non-linear partial differential equations into the system of complex ordinarydifferential *** computational Finite element method has been employed to solvethe flow,heat and mass transfer equations together with boundary *** impact ofvarious pertinent parameters on hydrodynamic,thermal and solutal boundary layers isinvestigated and the results are displayed ***,the values of local skin-friction coefficient,rate of temperature and rate of concentration is also calculated and theresults are presented *** comparisons with previously published work is made andfound good *** thickness of thermal boundary layer is increased with increase inthe values of Brownian motion parameter(Nb)and thermophoresis parameter(Ni).

关键词： Heat andmasstransfer Vertical cone Nanofluid convective boundary condition Finite elementmethod Chemical reaction

Nonlinear radiative heat transfer in magnetohydrodynamic(MHD)stagnation point flow of nanofluid past a stretching sheet with convective boundary condition

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Propulsion and Power Research 2015年第4期4卷 230-239页

作者： Wubshet Ibrahim Department of Mathematics Ambo UniversityP.O.Box 19AmboEthiopia

Two-dimensional boundary layer flow of nanofluid fluid past a stretching sheet is *** paper reveals the effect of non-linear radiative heat transfer on magnetohydrodynamic(MHD)stagnation point flow past a stretching sheet with convective *** of zero normal flux of nanoparticles at the wall for the stretched flow is *** nanoparticle fractions on the boundary are considered to be passively *** solution for the velocity,temperature and nanoparticle concentration depends on parameters *** number Pr,velocity ratio parameter A,magnetic parameter M,Lewis number Le,Brownian motion Nb,and the thermophoresis parameter ***,the problem is governed by temperature ratio parameter Nr¼Tf T1and radiation parameter *** transformation is used to reduce the governing non-linear boundary-value problems into coupled higher order non-linear ordinary differential *** equations were numerically solved using the function bvp4c from the matlab software for different values of governing *** results are obtained for velocity,temperature and concentration,as well as the skin friction coefficient and local Nusselt *** results indicate that the skin friction coefficient Cf increases as the values of magnetic parameter M increase and decreases as the values of velocity ratio parameter A *** local Nusselt number-θ0(0)decreases as the values of thermophoresis parameter Nt and radiation parameter Nr increase and it increases as the values of both Biot number Bi and Prandtl number Pr ***,radiation has a positive effect on temperature and concentration profiles.

关键词： Nonlinear radiative effect Stretching sheet Stagnation point flow convective boundary condition Passive control of nanoparticles

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Applied Mathematics 2016年第3期7卷 313-319页

作者： Rama Charan Chaudhary Gopal Naraian Purohit Preeti Garg Department of Mathematics University of Rajasthan Jaipur India Department of Mathematics Banasthali Vidyapith Banasthali India Department of Mathematics Kirori Mal College University of Delhi New Delhi India

This paper considers the problem of hydrodynamics and thermal boundary layers of Darcy flow over horizontal surface embedded in a porous medium. The solutions of such problems for the cases of uniform surface temperature and variable surface temperature have been studied and analysed in many papers. This paper, however, attempts to find similarity solutions for the Darcy flow problem with a convective boundary condition at the plate surface. It is found that the solution is possible when the heat transfer coefficient is proportional to x–2/3. The numerical solutions thus obtained are analyzed for a range of values of the parameter characterizing the hot fluid convection process. Analytical expressions are provided for local surface heat flux and total surface heat transfer rate while the flow variables are discussed graphically.

关键词： Similarity Solution Horizontal Plate Heat Transfer Rate Darcy Flow convective boundary condition

Three-dimensional flow of Oldroyd-B fluid over surface with convective boundary conditions

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Applied Mathematics and Mechanics(English Edition) 2013年第4期34卷 489-500页

作者： T.HAYAT S.A.SHEHZAD A.ALSAEDI M.S.ALHOTHUALI Department of Mathematics Quaid-i-Azam University Department of Electrical and Computer Engineering Faculty of Engineering King Abdulaziz University

The present study addresses the three-dimensional flow of an Oldroyd-B fluid over a stretching surface with convective boundary conditions. The problem formulation is presented using the conservation laws of mass, momentum, and energy. The solutions to the dimensionless problems are computed. The convergence of series solutions by the homotopy analysis method （HAM） is discussed graphically and numerically. The graphs are plotted for various parameters of the temperature profile. The series solutions are verified by providing a comparison in a limiting case. The numerical values of the local Nusselt number are analyzed.

关键词： three-dimensional flow Oldroyd-B fluid convective boundary condition

Repercussion of Hall effect and nonlinear radiation on Couette-Poiseuille flow of Casson-Williamson fluid through upright microchannel

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Applied Mathematics and Mechanics(English Edition) 2022年第12期43卷 1951-1964页

作者： B.J.GIREESHA L.ANITHA Department of Post Graduation Studies and Research in Mathematics Kuvempu UniversityShankaraghatta 577451India Department of Mathematics Adichunchanagiri Institute of TechnologyChikkamagaluru 577102India

The main aim of the present work is to investigate the flow and heat transport properties of non-Newtonian Casson-Williamson fluid through an upright microchannel along with entropy generation analysis,and explore the effects of convective boundary conditions,Couette-Poiseuille flow,and nonlinear *** movement of liquid is scrutinized with the Hall effect and exponential heat *** rheological characteristics of the Casson-Williamson fluid model are also *** considering the desirable similarity variables,the equations of motion are reduced to nonlinear ordinary differential *** Runge-Kutta-Fehlberg fourth-fifth order method along with the shooting method is adopted to solve these dimensionless *** detailed investigation is pictorially displayed to show the influence of effective parameters on the entropy generation and the Bejan *** of the major tasks of the exploration is to compare the Casson fluid and the Williamson *** results show that the rate of heat transfer in the Casson fluid is more remarkable than that in the Williamson fluid.

关键词： entropy generation Bejan number convective boundary condition Hall effect nonlinear radiation exponential heat source

Entropy generation analysis of tangent hyperbolic fluid in quadratic Boussinesq approximation using spectral quasi-linearization method

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Applied Mathematics and Mechanics(English Edition) 2021年第10期42卷 1525-1542页

作者： C.SRINIVAS REDDY B.MAHANTHESH P.RANA K.S.NISAR Department of Mathematics Government City CollegeTelangana 500002India Department of Mathematics CHRIST(Deemed to be University)Bengaluru 560029India School of Mathematical Sciences College of Science and TechnologyWenzhou-Kean UniversityWenzhou 325060China Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser 11991Saudi Arabia

In many industrial applications,heat transfer and tangent hyperbolic fluid flow processes have been garnering increasing attention,owing to their immense importance in technology,engineering,and *** processes are relevant for polymer solutions,porous industrial materials,ceramic processing,oil recovery,and fluid *** present tangent hyperbolic fluid flow and heat transfer model accurately predicts the shear-thinning phenomenon and describes the blood flow ***,the entropy production analysis of a non-Newtonian tangent hyperbolic material flow through a vertical microchannel with a quadratic density temperature fluctuation(quadratic/nonlinear Boussinesq approximation)is performed in the present *** impacts of the hydrodynamic flow and Newton’s thermal conditions on the flow,heat transfer,and entropy generation are *** governing nonlinear equations are solved with the spectral quasi-linearization method(SQLM).The obtained results are compared with those calculated with a finite element method and the bvp4c *** addition,the effects of key parameters on the velocity of the hyperbolic tangent material,the entropy generation,the temperature,and the Nusselt number are *** entropy generation increases with the buoyancy force,the pressure gradient factor,the non-linear convection,and the Eckert *** non-Newtonian fluid factor improves the magnitude of the velocity *** power-law index of the hyperbolic fluid and the Weissenberg number are found to be favorable for increasing the temperature *** buoyancy force caused by the nonlinear change in the fluid density versus temperature improves the thermal energy of the system.

关键词： tangent hyperbolic fluid nonlinear Boussinesq approximation entropy production convective boundary condition spectral quasi-linearization method(SQLM)

Analysis of Combined convective and Viscous Dissipation Effects for Peristaltic Flow of Rabinowitsch Fluid Model

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Journal of Bionic Engineering 2017年第1期14卷 182-190页

作者： Hina Sadaf Sohail Nadeem Department of Mathematics Quaid-i-Azam University Islamabad 44000 Pakistan

In this article, mathematical modeling for peristaltic flow of Rabinowitsch fluid model is considered in a non-uniform tube with combined effects of viscous dissipation and convective boundary conditions. Wall properties analysis is also taken into account. Non-dimensional differential equations are simplified by using the well-known assumptions of low Reynolds number and long wavelength. The influence of various parameters connected with this flow problem such as rigidity parameter E1, stiffness parameter E2, viscous damping force parameter E3, Brickman number and Biot number are plotted for velocity distribution, temperature profile and for stream function. Results are plotted and discussed in detail for shear thinning, shear thickening and for viscous fluid. It is found that velocity profile is an increasing function of rigidity parameter, stiffness parameter, and viscous damping force parameter for shear thinning and for viscous fluid, due to the less resistance offered by the walls but, quite opposite behavior is depicted for shear thickening fluids. It is seen that Brickman number relates to the viscous dissipation effects, so it contributes in enhancing fluid temperature for all cases.

关键词： peristaltic flow non-uniform tube viscous dissipation convective boundary condition exact solution,non-newtonian fluid

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

Effects of Variable Thermal Conductivity and Non-linear Thermal Radiation Past an Eyring Powell Nanofluid Flow with Chemical Reaction

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Communications in Theoretical Physics 2017年第6期67卷 723-731页

作者： M.Ramzan M.Bilal Shamsa Kanwal Jae Dong Chung Department of Computer Science Bahria UniversityIslamabad Campus Department of Mathematics Faculty of ComputingCapital University of Science and Technology Department of Mathematical Sciences Fatima Jinnah Women University Department of Mechanical Engineering Sejong University

Present analysis discusses the boundary layer flow of Eyring Powell nanofluid past a constantly moving surface under the influence of nonlinear thermal radiation. Heat and mass transfer mechanisms are examined under the physically suitable convective boundary condition. Effects of variable thermal conductivity and chemical reaction are also considered. Series solutions of all involved distributions using Homotopy Analysis method(HAM) are *** of dominating embedded flow parameters are discussed through graphical illustrations. It is observed that thermal radiation parameter shows increasing tendency in relation to temperature profile. However, chemical reaction parameter exhibits decreasing behavior versus concentration distribution.

关键词： Eyring Powell nanofluid nonlinear thermal radiation convective boundary condition variable thermal conductivity chemical reaction