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Applied Mathematics and Mechanics(English Edition) 2014年第6期35卷 717-728页

作者： T.HAYAT S.ASAD a.alsaedi Department of Mathematics Quaid-i-Azam University Islamabad 44000 Pakistan Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Faculty of Science King Abdulaziz University Jeddah 21589 Saudi Arabia

The aim of the present study is to investigate the flow of the Casson fluid by an inclined stretching cylinder. A heat transfer analysis is carried out in the presence of thermal radiation and viscous dissipation effects. The temperature dependent thermal conductivity of the Casson fluid is considered. The relevant equations are first simplified under usual boundary layer assumptions, and then transformed into ordinary differential equations by suitable transformations. The transformed ordinary differential equations are computed for the series solutions of velocity and temperature. A convergence analysis is shown explicitly. Velocity and temperature fields are discussed for different physical parameters by graphs and numerical values. It is found that the velocity decreases with the increase in the angle of inclination while increases with the increase in the mixed convection parameter. The enhancement in the thermal conductivity and radiation effects corresponds to a higher fluid temperature. It is also found that heat transfer is more pronounced in a cylinder when it is compared with a flat plate. The thermal boundary layer thickness increases with the increase in the Eckert number. The radiation and variable thermal conductivity decreases the heat transfer rate at the surface.

关键词： Casson fluid thermal radiation variable thermal conductivity inclined stretching cylinder

Flow of Burgers' fluid over an inclined stretching sheet with heat and mass transfer

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Journal of Central South University 2015年第8期22卷 3180-3188页

作者： T.Hayat Sadia Asad 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

Effects of heat and mass transfer in the flow of Burgers fluid over an inclined sheet are discussed. Problems formulation and relevant analysis are given in the presence of thermal radiation and non-uniform heat source/sink. Thermal conductivity is taken temperature dependent. The nonlinear partial differential equations are simplified using boundary layer approximations. The resultant nonlinear ordinary differential equations are solved for the series solutions. The convergence of series solutions is obtained by plotting theη-curves for the velocity, temperature and concentration fields. Results of this work describe the role of different physical parameters involved in the problem. The Deborah numbers corresponding to relaxation time(β1 and β2) and angle of inclination(α) decrease the fluid velocity and concentration field. Concentration field decays as Deborah numbers corresponding to retardation time(β3) and mixed convection parameter(G) increase. Large values of heat generation/absorption parameters A/B, and the temperature distribution across the boundary layer increase. Numerical values of local Nusselt number,-θ′(0), and local Sherwood number,-f′(0), are computed and analyzed. It is found that θ′(0) increases with an increase in β3.

关键词：热质迁移非线性偏微分方程温度依赖性拉张速度曲线微分方程解浓度场热传导率

Melting effect and Cattaneo-Christov heat flux in fourth-grade material flow through a Darcy-Forchheimer porous medium

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Applied Mathematics and Mechanics(English Edition) 2021年第12期42卷 1787-1798页

作者： T.HAYAT K.MUHAMMAD 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 80203saudi arabia

The melting phenomenon in two-dimensional(2 D)flow of fourth-grade material over a stretching surface is *** flow is created via a stretching surface.A Darcy-Forchheimer(D-F)porous medium is considered in the flow *** heat transport is examined with the existence of the Cattaneo-Christov(C-C)heat *** fourth-grade material is electrically conducting subject to an applied magnetic *** governing partial differential equations(PDEs)are reduced into ordinary differential equations(ODEs)by appropriate *** solutions are constructed analytically through the optimal homotopy analysis method(OHAM).The fluid velocity,temperature,and skin friction are examined under the effects of various involved *** fluid velocity increases with higher material parameters and velocity ratio parameter while decreases with higher magnetic parameter,porosity parameter,and Forchheimer *** fluid temperature is reduced with higher melting parameter while boosts against higher Prandtl number,magnetic parameter,and thermal relaxation ***,the skin friction coefficient decreases against higher melting and velocity ratio parameters while increases against higher material parameters,thermal relaxation parameter,and Forchheimer number.

关键词： melting heat Darcy-Forchheimer(D-F)porous medium magnetohydrodynamics(MHD) Cattaneo-Christov(C-C)heat flux fourth-grade fluid optimal homotopy analysis method(OHAM)

Three-dimensional mixed convection squeezing flow

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Applied Mathematics and Mechanics(English Edition) 2015年第1期36卷 47-60页

作者： T.HAYAT A.QAYYUM a.alsaedi Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Faculty of Science King Abdulaziz University

The unsteady mixed convection squeezing flow of an incompressible Newtonian fluid between two vertical parallel planes is discussed. The fluid is electrically conducting. The governing equations are transformed into ordinary differential equations （ODEs） by appropriate transformations. The transformed equations are solved successfully by a modern and powerful technique. The effects of the emerging parameters on the flow and heat transfer characteristics are studied and examined. The values of the skin friction coefficient and the local Nusselt number are tabulated and analyzed.

关键词： squeezing flow, mixed convection, vertical rotating channel unsteadystretching porous sheet

Flow and heat transfer of a nanofluid over a hyperbolically stretching sheet

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Chinese Physics B 2014年第7期23卷 I0004-I0006,475-478页

作者： A.Ahmad S.Asghar a.alsaedi COMSATS Institute of Information Technology Distinguished Adjunct Professor Department of MathematicsKing Abdul Aziz University

This article explores the boundary layer flow and heat transfer of a viscous nanofluid bounded by a hyperbolically stretching sheet. Effects of Brownian and thermophoretic diffusions on heat transfer and concentration of nanoparticles are given due attention. The resulting nonlinear problems are computed for analytic and numerical solutions. The effects of Brownian motion and thermophoretic property are found to increase the temperature of the medium and reduce the heat transfer rate. The thermophoretic property thus enriches the concentration while the Brownian motion reduces the concentration of the nanoparticles in the fluid. Opposite effects of these properties are observed on the Sherwood number.

关键词： hyperbolically stretching sheet nanofluid boundary layer flow heat transfer

Effects of homogeneous-heterogeneous reactions in flow of Powell-Eyring fluid

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Journal of Central South University 2015年第8期22卷 3211-3216页

作者： T.Hayat M.Imtiaz a.alsaedi Department of Mathematics Quaid-I-Azam University NAAM Research Group Department of Mathematics Faculty of ScienceKing Abdulaziz University

The steady two-dimensional flow of Powell-Eyring fluid is investigated. The flow is caused by a stretching surface with homogeneous-heterogeneous reactions. The governing nonlinear differential equations are reduced to the ordinary differential equations by similarity transformations. The analytic solutions are presented in series forms by homotopy analysis method(HAM). Convergence of the obtained series solutions is explicitly discussed. The physical significance of different parameters on the velocity and concentration profiles is discussed through graphical illustrations. It is noticed that the boundary layer thickness increases by increasing the Powell-Eyring fluid material parameter(ε) whereas it decreases by increasing the fluid material parameter(δ). Further, the concentration profile increases when Powell-Eyring fluid material parameters increase. The concentration is also an increasing function of Schmidt number and decreasing function of strength of homogeneous reaction. Also mass transfer rate increases for larger rate of heterogeneous reaction.

关键词：流体流动异构反应非线性微分方程鲍材料参数浓度分布递减函数常微分方程

Note on characteristics of homogeneous-heterogeneous reaction in flow of Jeffrey fluid

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Applied Mathematics and Mechanics(English Edition) 2015年第10期36卷 1319-1328页

作者： M.FAROOQ a.alsaedi T.HAYAT Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Faculty of Science King Abdulaziz University

This letter describes the characteristics of homogeneous-heterogeneous re- action in the boundary layer flow of a Jeffrey fluid due to an impermeable horizontal stretching sheet. An analysis is carried out through the similar values of reactant and auto catalyst diffusion coefficients. Heat released by the reaction is not accounted. The exact solution for the flow of the Jeffrey fluid is constructed. The series solution for the concentration equation is derived. The velocity and concentration fields reflecting the impact of interesting parameters are plotted and examined.

关键词： Jeffrey fluid stretching sheet homogeneous-heterogeneous reaction

Flow of Casson fluid with nanoparticles

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Applied Mathematics and Mechanics(English Edition) 2016年第4期37卷 459-470页

作者： T.HAYAT S.ASAD 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 Department of Mathematics COMSATS Institute of Information Technology

The boundary layer flow of a Casson fluid due to a stretching cylinder is discussed in the presence of nanoparticles and thermal radiation. All physical properties of the Casson fluid except the thermal conductivity are taken constant. Appropriate transformations yield the nonlinear ordinary differential systems. Convergent series solutions are developed and analyzed. The numerical results for the local Nusselt and Sherwood numbers are demonstrated. It is found that an increase in the strength of the Brownian motion decays the temperature noticeably. However, the rate of heat transfer and the concentration of the nanoparticles at the surface increase for larger Brownian motion parameters.

关键词： Casson fluid stretching cylinder nanofluid

Variable viscosity in peristalsis of Sisko fluid

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Applied Mathematics and Mechanics(English Edition) 2018年第4期39卷 501-512页

作者： A.TANVEER T.HAYAT 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

This paper aims to examine variable viscosity effects on peristalsis of Sisko fluids in a curved channel with compliant characteristics. Viscous dissipation in a heat transfer is studied. The resulting problems are solved using perturbation and numerical schemes to show qualitatively similar responses for velocity and temperature. A streamline phenomenon is also considered.

关键词： peristalsis Sisko fluid curved channel numerical and perturbation solution wall property viscous dissipation

Flow of couple stress fluid with variable thermal conductivity

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Applied Mathematics and Mechanics(English Edition) 2016年第3期37卷 315-324页

作者： S.ASAD a.alsaedi T.HAYAT Department of Mathematics COMSATS Institute of Information Technology Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Faculty of Science King Abdulaziz University Department of Mathematics Quaid-i-Azam University

The steady flow and heat transfer of a couple stress fluid due to an inclined stretching cylinder are analyzed. The thermal conductivity is assumed to be temperature dependent. The governing equations for the flow and heat transfer are transformed into ordinary differential equations. Series solutions of the resulting problem are computed. The effects of various interested parameters, e.g., the couple stress parameter, the angle of inclination, the mixed convection parameter, the Prandtl number, the Reynolds number, the radiation parameter, and the variable thermal conductivity parameter, are illustrated. The skin friction coefficient and the local Nusselt number are computed and analyzed. It is observed that the heat transfer rate at the surface increases while the velocity and the shear stress decrease when the couple stress parameter and the Reynolds number increase. The temperature increases when the Reynolds number increases.

关键词： couple stress fluid thermal radiation variable thermal conductivity