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Cattaneo-Christov heat and mass flux model for 3D hydrodynamic flow of chemically reactive Maxwell liquid 认领 引用 被引量：8
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作者 S.A.SHEHZAD T.HAYAT +1 位作者 A.ALSAEDI M.A.MERAJ 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第10期1347-1356,共10页
This research focuses on the Cattaneo-Christov theory of heat and mass flux for a three-dimensional Maxwell liquid towards a moving surface. An incompressible laminar flow with variable thermal conductivity is conside... This research focuses on the Cattaneo-Christov theory of heat and mass flux for a three-dimensional Maxwell liquid towards a moving surface. An incompressible laminar flow with variable thermal conductivity is considered. The flow generation is due to the bidirectional stretching of sheet. The combined phenomenon of heat and mass transport is accounted. The Cattaneo-Christov model of heat and mass diffusion is used to develop the expressions of energy and mass species. The first-order chemical reaction term in the mass species equation is considered. The boundary layer assumptions lead to the governing mathematical model. The homotopic simulation is adopted to visualize the results of the dimensionless flow equations. The graphs of velocities, temperature, and concentration show the effects of different arising parameters. A numerical benchmark is presented to visualize the convergent values of the computed results. The results show that the concentration and temperature fields are decayed for the Cattaneo^Christov theory of heat and mass diffusion. 展开更多
关键词 Cattaneo-Christov theory chemical reactive flow temperature-dependentconductivity Maxwell liquid
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Mixed Convection Stagnation Point Flow of Casson Fluid with Convective Boundary Conditions 认领 引用 被引量：9
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作者 T.Hayat S.A.Shehzad +1 位作者 A.Alsaedi M.S.Alhothuali 《Chinese Physics Letters》 SCIE EI CAS CSCD 2012年第11期148-151,共4页
The mixed convection stagnation-point flow of an incompressible non-Newtonian fluid over a stretching sheet under convective boundary conditions is investigated.Mathematical formulation is presented for a Casson fluid... The mixed convection stagnation-point flow of an incompressible non-Newtonian fluid over a stretching sheet under convective boundary conditions is investigated.Mathematical formulation is presented for a Casson fluid.The resulting partial differential equations are converted into the ordinary differential equations by the suitable transformations.The velocity and temperature profiles are computed by employing the homotopy analysis method.The plotted graphs illustrate the flow and heat transfer characteristics and their dependence upon the embedded parameters.Numerical values of skin-friction coefficient and Nusselt number are given and examined.Comparison of the present results with the existing solution is also given. 展开更多
关键词 method stretching ordinary
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Darcy-Forchheimer flows of copper and silver water nanofluids between two rotating stretchable disks 认领 引用 被引量：6
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作者 T.HAYAT H.NAZAR +1 位作者 M.IMTIAZ A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第12期1663-1678,共16页
This investigation describes the nanofluid flow in a non-Darcy porous medium between two stretching and rotating disks. A nanofluid comprises of nanoparticles of silver and copper. Water is used as a base fluid. Heat ... This investigation describes the nanofluid flow in a non-Darcy porous medium between two stretching and rotating disks. A nanofluid comprises of nanoparticles of silver and copper. Water is used as a base fluid. Heat is being transferred with thermal radiation and the Joule heating. A system of ordinary differential equations is obtained by appropriate transformations. Convergent series solutions are obtained. Effects of various parameters are analyzed for the velocity and temperature. Numerical values of the skin friction coefficient and the Nusselt number are tabulated and examined. It can be seen that the radial velocity is affected in the same manner with both porous and local inertial parameters. A skin friction coefficient depicts the same impact on both disks for both nanofluids with larger stretching parameters. 展开更多
关键词 magnetohydrodynamics （MHD） nanofluid stretchable rotating disk non-Darcy porous medium thermal radiation
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Melting heat transfer in Cu-water and Ag-water nanofluids flow with homogeneous-heterogeneous reactions 认领 引用 被引量：4
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作者 M.IMTIAZ F.SHAHID +1 位作者 T.HAYAT A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第4期465-480,共16页
This article addresses melting heat transfer in magnetohydrodynamics(MHD)nanofluid flows by a rotating disk. The analysis is performed in Cu-water and Ag-water nanofluids. Thermal radiation, viscous dissipation, and c... This article addresses melting heat transfer in magnetohydrodynamics(MHD)nanofluid flows by a rotating disk. The analysis is performed in Cu-water and Ag-water nanofluids. Thermal radiation, viscous dissipation, and chemical reactions impacts are added in the nanofluid model. Appropriate transformations lead to the nondimensionalized boundary layer equations. Series solutions for the resulting equations are computed.The role of pertinent parameters on the velocity, temperature, and concentration is analyzed in the outputs. It is revealed that the larger melting parameter enhances the velocity profile while the temperature profile decreases. The surface drag force and heat transfer rate are computed under the influence of pertinent parameters. Furthermore, the homogeneous reaction parameter serves to decrease the surface concentration. 展开更多
关键词 magnetohydrodynamics(MHD) nanofluid stretchable rotating disk thermal radiation melting heat transfer homogeneous-heterogeneous reaction
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MHD stagnation point flow by a permeable stretching cylinder with Soret-Dufour effects 认领 引用 被引量：4
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作者 M.Ramzan M.Farooq +2 位作者 T.Hayat A.Alsaedi J.Cao 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第2期707-716,共10页
Combined effects of Soret(thermal-diffusion) and Dufour(diffusion-thermo) in MHD stagnation point flow by a permeable stretching cylinder were studied. Analysis was examined in the presence of heat generation/absorpti... Combined effects of Soret(thermal-diffusion) and Dufour(diffusion-thermo) in MHD stagnation point flow by a permeable stretching cylinder were studied. Analysis was examined in the presence of heat generation/absorption and chemical reaction. The laws of conservation of mass, momentum, energy and concentration are found to lead to the mathematical development of the problem. Suitable transformations were used to convert the nonlinear partial differential equations into the ordinary differential equations. The series solutions of boundary layer equations through momentum, energy and concentration equations were obtained.Convergence of the developed series solutions was discussed via plots and numerical values. The behaviors of different physical parameters on the velocity components, temperature and concentration were obtained. Numerical values of Nusselt number, skin friction and Sherwood number with different parameters were computed and analyzed. It is found that Dufour and Soret numbers result in the enhancement of temperature and concentration distributions, respectively. 展开更多
关键词 stagnation point flow Soret-Dufour effects stretching cylinder suction/injection chemical reaction
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Numerical simulation of chemically reactive Powell-Eyring liquid flow with double diffusive Cattaneo-Christov heat and mass flux theories 认领 引用 被引量：5
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作者 A.RAUF Z.ABBAS +2 位作者 S.A.SHEHZAD A.ALSAEDI T.HAYAT 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第4期467-476,共10页
A numerical study is reported for two-dimensional flow of an incompressible Powell-Eyring fluid by stretching the surface with the Cattaneo-Christov model of heat diffusion. Impacts of heat generation/absorption and d... A numerical study is reported for two-dimensional flow of an incompressible Powell-Eyring fluid by stretching the surface with the Cattaneo-Christov model of heat diffusion. Impacts of heat generation/absorption and destructive/generative chemical reactions are considered. Use of proper variables leads to a system of non-linear dimensionless expressions. Velocity, temperature and concentration profiles are achieved through a finite difference based algorithm with a successive over-relaxation(SOR) method. Emerging dimensionless quantities are described with graphs and tables. The temperature and concentration profiles decay due to enhancement in fluid parameters and Deborah numbers. 展开更多
关键词 Powell-Eyring fluid Cattaneo-Christov model chemical reaction finite difference
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MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions 认领 引用 被引量：5
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作者 T.Hayat M.Imtiaz +1 位作者 A.Alsaedi R.Mansoor 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第5期360-367,共8页
This article concentrates on the steady magnetohydrodynamic （MHD） flow of viscous nanofluid. The flow is caused by a permeable exponentially stretching surface. An incompressible fluid fills the porous space. A comp... This article concentrates on the steady magnetohydrodynamic （MHD） flow of viscous nanofluid. The flow is caused by a permeable exponentially stretching surface. An incompressible fluid fills the porous space. A comparative study is made for the nanoparticles namely Copper （Cu）, Silver （Ag）, Alumina （A1203） and Titanium Oxide （TiO2）. Water is treated as a base fluid. Convective type boundary conditions are employed in modeling the heat transfer process. The non-linear partial differential equations governing the flow are reduced to an ordinary differential equation by similarity transformations. The obtained equations are then solved for the development of series solutions. Convergence of the obtained series solutions is explicitly discussed. The effects of different parameters on the velocity and temperature profiles are shown and analyzed through graphs. 展开更多
关键词 MHD nanofluid exponentially stretching sheet porous medium convective boundary conditions
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Three-dimensional flow of Oldroyd-B fluid over surface with convective boundary conditions 认领 引用 被引量：8
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作者 T.HAYAT S.A.SHEHZAD +1 位作者 A.ALSAEDI M.S.ALHOTHUALI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第4期489-500,共12页
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, mom... 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. 展开更多
关键词 three-dimensional flow Oldroyd-B fluid convective boundary condition
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Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid 认领 引用 被引量：8
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作者 T.HAYAT S.A.SHEHZAD A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第10期1301-1312,共12页
This article studies the Soret and Dufour effects on the magnetohydrody- namic （MHD） flow of the Casson fluid over a stretched surface. The relevant equations are first derived, and the series solution is constructe... This article studies the Soret and Dufour effects on the magnetohydrody- namic （MHD） flow of the Casson fluid over a stretched surface. The relevant equations are first derived, and the series solution is constructed by the homotopic procedure. The results for velocities, temperature, and concentration fields are displayed and discussed. Numerical values of the skin friction coefficient, the Nusselt number, and the Sherwood number for different values of physical parameters are constructed and analyzed. The convergence of the series solutions is examined. 展开更多
关键词 Soret and Dufour effects magnetohydrodynamic （MHD） flow Cassonfluid heat and mass transfer
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Flow of Oldroyd-B fluid with nanoparticles and thermal radiation 认领 引用 被引量：4
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作者 T.HAYAT T.HUSSAIN +1 位作者 S.A.SHEHZAD A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第1期69-80,共12页
The two-dimensional boundary layer flow of an Oldroyd-B fluid in the presence of nanoparticles is investigated. Convective heat and mass conditions are considered in the presence of thermal radiation and heat generati... The two-dimensional boundary layer flow of an Oldroyd-B fluid in the presence of nanoparticles is investigated. Convective heat and mass conditions are considered in the presence of thermal radiation and heat generation. The Brownian motion and thermophoresis effects are retained. The nonlinear partial differential equations are reduced into the ordinary differential equation （ODE） systems. The resulting ODE systems are solved for the series solutions. The results are analyzed for various physical parameters of interest. Numerical values of the local Nusselt and Sherwood numbers are also computed and analyzed. 展开更多
关键词 nanoparticle Oldroyd-B fluid heat generation convective condition
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Stagnation-point flow of couple stress fluid with melting heat transfer 认领 引用 被引量：4
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作者 T.HAYAT M.MUSTAFA +1 位作者 Z.IQBAL A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第2期167-176,共10页
Melting heat transfer in the boundary layer flow of a couple stress fluid over a stretching surface is investigated. The developed differential equations are solved for homotopic solutions. It is observed that the vel... Melting heat transfer in the boundary layer flow of a couple stress fluid over a stretching surface is investigated. The developed differential equations are solved for homotopic solutions. It is observed that the velocity and the boundary layer thickness are decreasing functions of the couple stress fluid parameter. However, the temperature and surface heat transfer increase when the values of the couple stress fluid parameter increase. The velocity and temperature fields increase with an increase in the melting process of the stretching sheet. 展开更多
关键词 couple stress fluid melting heat transfer stagnation-point flow series solution
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Peristaltic flow of couple stress fluid through uniform porous medium 认领 引用 被引量：4
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作者 A.ALSAEDI N.ALI +1 位作者 D.TRIPATHI T.HAYAT 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第4期469-480,共12页
Investigation concerning peristaltic motion of couple stress fluid is made. An incompressible couple stress fluid occupies the porous medium. Mathematical anal- ysis is presented through large wavelength and low Reyno... Investigation concerning peristaltic motion of couple stress fluid is made. An incompressible couple stress fluid occupies the porous medium. Mathematical anal- ysis is presented through large wavelength and low Reynolds number. Exact analytical expressions of axial velocity, volume flow rate, pressure gradient, and stream function are calculated as a function of couple stress parameter. The essential feature of the analysis is a full description of influence of couple stress parameter and permeability parameter on the pressure, frictional force, mechanical efficiency, and trapping. 展开更多
关键词 peristalsis couple stress fluid porous medium mechanical efficiency,trapping
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MHD axisymmetric flow of third grade fluid between porous disks with heat transfer 认领 引用 被引量：3
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作者 T.HAYAT A.SHAFIQ +1 位作者 M.NAWAZ A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第6期749-764,共16页
The magnetohydrodynamic （MHD） flow of the third grade fluid between two permeable disks with heat transfer is investigated. The governing partial differential equa- tions are converted into the ordinary differential... The magnetohydrodynamic （MHD） flow of the third grade fluid between two permeable disks with heat transfer is investigated. The governing partial differential equa- tions are converted into the ordinary differential equations by suitable transformations. The transformed equations are solved by the homotopy analysis method （HAM）. The expressions for square residual errors are defined, and the optimal values of convergence- control parameters are selected. The dimensionless velocity and temperature fields are examined for various dimensionless parameters. The skin friction coefficient and the Nus- selt number are tabulated to analyze the effects of dimensionless parameters. 展开更多
关键词 heat transfer axisymmetric flow third grade fluid porous disk skin fric-tion coefficient Nusselt number
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Unsteady MHD flow over exponentially stretching sheet with slip conditions 认领 引用 被引量：4
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作者 T.HAYAT A.SHAFIQ +1 位作者 A.ALSAEDI S.A.SHAHZAD 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第2期193-208,共16页
The present paper examines the hydromagnetic three-dimensional flow in- duced by a stretched surface. An incompressible material saturates the porous medium. Velocity and thermal slip boundary conditions are considere... The present paper examines the hydromagnetic three-dimensional flow in- duced by a stretched surface. An incompressible material saturates the porous medium. Velocity and thermal slip boundary conditions are considered. Suitable transformations are used to obtain the nonlinear ordinary differential equations. Series solutions of the resulting systems are constructed. The effects of various pertinent parameters on the axial velocity and temperature distributions are analyzed graphically. The skin friction and the Nusselt number are computed numerically and graphically. 展开更多
关键词 three-dimensional flow velocity and thermal slip conditions porous medium
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Three-dimensional boundary layer flow of Maxwell nanofluid:mathematical model 认领 引用 被引量：3
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作者 T.HAYAT T.MUHAMMAD +1 位作者 S.A.SHEHZAD A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第6期747-762,共16页
The present research explores the three-dimensional boundary layer flow of the Maxwell nanofluid. The flow is generated by a bidirectional stretching surface. The mathematical formulation is carried out through a boun... The present research explores the three-dimensional boundary layer flow of the Maxwell nanofluid. The flow is generated by a bidirectional stretching surface. The mathematical formulation is carried out through a boundary layer approach with the heat source/sink, the Brownian motion, and the thermophoresis effects. The newly developed boundary conditions requiring zero nanoparticle mass flux at the boundary are employed in the flow analysis for the Maxwell fluid. The governing nonlinear boundary layer equations through appropriate transformations are reduced to the coupled nonlin- ear ordinary differential system. The resulting nonlinear system is solved. Graphs are plotted to examine the effects of various interesting parameters on the non-dimensional velocities, temperature, and concentration fields. The values of the local Nusselt number are computed and examined numerically. 展开更多
关键词 three-dimensional flow nanoparticle Maxwell fluid heat source/sink
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Flow and heat transfer of a nanofluid over a hyperbolically stretching sheet 认领 引用 被引量：5
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作者 A.Ahmad S.Asghar A.Alsaedi 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第7期I0004-I0006,475-478,共3页
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... 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. 展开更多
关键词 hyperbolically stretching sheet nanofluid boundary layer flow heat transfer
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Diffusion of chemically reactive species in third grade fluid flow over an exponentially stretching sheet considering magnetic field effects 认领 引用 被引量：2
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作者 T.Hayat M.Ijaz Khan +2 位作者 M.Waqas A.Alsaedi T.Yasmeen 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2017年第3期257-263,共7页
This article addresses the magnetohydrodynamics(MHD) flow of a third grade fluid over an exponentially stretching sheet. Analysis is carried out in the presence of first order chemical reaction. Both cases of construc... This article addresses the magnetohydrodynamics(MHD) flow of a third grade fluid over an exponentially stretching sheet. Analysis is carried out in the presence of first order chemical reaction. Both cases of constructive and destructive chemical reactions are reported. Convergent solutions of the resulting differential systems are presented in series forms. Characteristics of various sundry parameters on the velocity, concentration, skin friction and local Sherwood number are analyzed and discussed. 展开更多
关键词 Chemical reaction Third grade fluid Exponentially stretching sheet Magnetic field
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Peristalsis of nanofluid through curved channel with Hall and Ohmic heating effects 认领 引用 被引量：2
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作者 T.HAYAT B.AHMED +1 位作者 F.M.ABBASI A.ALSAEDI 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第9期2543-2553,共11页
Nanofluids have attracted many scientists due to their remarkable thermophysical properties.Small percentage of nanoparticles when added to conventional fluid significantly enhances the heat transfer features.Sustaina... Nanofluids have attracted many scientists due to their remarkable thermophysical properties.Small percentage of nanoparticles when added to conventional fluid significantly enhances the heat transfer features.Sustainability and efficiency of nanomaterials have key role in the advancement of nanotechnology.This article analyzes the Hall,Ohmic heating and velocity slip effects on the peristalsis of nanofluid.Convective boundary conditions and heat generation/absorption are considered to facilitate the heat transfer characteristics.Governing equations for the peristaltic flow through a curved channel are derived in curvilinear coordinates.The equations are numerically solved under the assumption of long wavelength and small Reynold number.It has been observed that nanofluid enhances the heat transfer rate and reduces the fluid temperature.Hartman number and Hall parameter show reverse behavior in fluid motion and heat transfer characteristics.In the presence of velocity slip,the pressure gradient rapidly decreases and dominant effect is seen in narrow portion of channel. 展开更多
关键词 peristalsis nanofluid Hall and Ohmic heating effects convective boundary condition velocity slip effects
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Modeling Chemically Reactive Flow of Sutterby Nanofluid by a Rotating Disk in Presence of Heat Generation/Absorption 认领 引用 被引量：2
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作者 T.Hayat Salman Ahmad +1 位作者 M.Ijaz Khan A.Alsaedi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2018年第5期569-576,共8页
In this article we investigate the flow of Sutterby liquid due to rotating stretchable disk. Mass and heat transport are analyzed through Brownian diffusion and thermophoresis. Further the effects of magnetic field, c... In this article we investigate the flow of Sutterby liquid due to rotating stretchable disk. Mass and heat transport are analyzed through Brownian diffusion and thermophoresis. Further the effects of magnetic field, chemical reaction and heat source are also accounted. We employ transformation procedure to obtain a system of nonlinear ODE's. This system is numerically solved by Built-in-Shooting method. Impacts of different involved parameter on velocity, temperature and concentration are described. Velocity, concentration and temperature gradients are numerically computed. Obtained results show that velocity is reduced through material parameter. Temperature and concentration are enhanced with thermophoresis parameter. 展开更多
关键词 sutterby nanoliquid magnetic field chemical reaction rotating stretchable disk heat generation
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MHD Falkner-Skan flow of Maxwell fluid by rational Chebyshev collocation method 认领 引用 被引量：2
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作者 S.ABBASBANDY T.HAYAT +1 位作者 H.R.GHEHSAREH A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第8期921-930,共10页
The magnetohydrodynamics （MHD） Falkner-Skan flow of the Maxwell fluid is studied. Suitable transform reduces the partial differential equation into a nonlinear three order boundary value problem over a semi-infinite... The magnetohydrodynamics （MHD） Falkner-Skan flow of the Maxwell fluid is studied. Suitable transform reduces the partial differential equation into a nonlinear three order boundary value problem over a semi-infinite interval. An efficient approach based on the rational Chebyshev collocation method is performed to find the solution to the proposed boundary value problem. The rational Chebyshev collocation method is equipped with the orthogonal rational Chebyshev function which solves the problem on the semi-infinite domain without truncating it to a finite domain. The obtained results are presented through the illustrative graphs and tables which demonstrate the affectivity, stability, and convergence of the rational Chebyshev collocation method. To check the accuracy of the obtained results, a numerical method is applied for solving the problem. The variations of various embedded parameters into the problem are examined. 展开更多
关键词 Falkner-Skan equation Runge-Kutta method skin friction coefficient,rational Chebyshev polynomial collocation method magnetohydrodynamics （MHD）Maxwell fluid
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