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Tasawar Hayat - One of the best experts on this subject based on the ideXlab platform.
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mixed convective Three Dimensional Flow of williamson nanofluid subject to chemical reaction
International Journal of Heat and Mass Transfer, 2018Co-Authors: Tasawar Hayat, A. Alsaedi, M Z Kiyani, Ijaz M Khan, I AhmadAbstract:Abstract Main theme of this article is to model and analyze the outcome of chemically reactive Flow of nanomaterial. Nanomaterial comprises thermophoresis and Brownian motion. Bidirectional nonlinear stretching sheet of constant thickness is considered. Rheological expressions of Williamson fluid is used to develop formulation. Boundary layer approach and suitable transformations are utilized to simplify the governing equations. Optimal homotopy analysis method OHAM is utilized for values of convergence control parameters. Tabulated values of skin friction coefficients and Nusselt and Sherwood numbers via different parameters are calculated and examined. Physical features of various pertinent parameters are argued through graphs. It is observed that velocity decays in x-direction for higher values of magnetic parameter. Temperature and concentration have contrast behavior for larger Brownian motion.
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an optimal study for Three Dimensional Flow of maxwell nanofluid subject to rotating frame
Journal of Molecular Liquids, 2017Co-Authors: Tasawar Hayat, Taseer Muhammad, M Mustafa, A. AlsaediAbstract:Abstract Here we are concerned with optimal homotopy solutions for Three-Dimensional Flow of Maxwell nanofluid in rotating frame. Flow is induced by uniform stretching of the boundary surface in one direction. Buongiorno model is adopted which features the novel aspects of Brownian diffusion and thermophoresis. Boundary layer approximations are invoked to simplify the governing system of partial differential equations. Appropriate relations are introduced to nonDimensionalize the relevant boundary layer expressions. Newly suggested condition associated with zero nanoparticles mass flux at the boundary is imposed. Uniformly valid convergent solution expressions are developed by means of optimal homotopy analysis method (OHAM). Plots have been portrayed in order to explain the role of embedded Flow parameters on the solutions. Heat transfer rate at the surface has been computed and analyzed. Our findings show that the temperature and concentration fields are smaller for Newtonian fluid when compared with the upper-convected Maxwell (UCM). Moreover Brownian diffusion has mild influence of heat flux at the boundary. Viscoelastic effect has tendency to reduce heat transfer rate from the stretching boundary.
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computational modeling for homogeneous heterogeneous reactions in Three Dimensional Flow of carbon nanotubes
Results in physics, 2017Co-Authors: Tasawar Hayat, Ahmed Alsaedi, Taseer Muhammad, Sohail Ahmed, Muhammad AyubAbstract:Abstract Here homogeneous-heterogeneous reactions in Three-Dimensional Flow of water based nanofluid saturating a porous medium is modeled. A bidirectional nonlinearly stretching surface has been employed to generate the Flow. The characteristics of nanofluid are explored using CNTs (single and multi walled carbon nanotubes). Equal diffusion coefficients are considered for both reactants and auto catalyst. The conversion of partial differential equation equations (PDEs) to ordinary differential equations (ODEs) is done via appropriate transformations. Optimal homotopy approach is implemented for solution of governing problem. The optimal solution relations of velocities and concentration are explored through plots by using several values of physical parameters. The coefficients of skin friction are examined through graphs. Our results indicate that the skin friction coefficients are enhanced for larger values of nanoparticle volume fraction.
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thermal and solutal stratification in mixed convection Three Dimensional Flow of an oldroyd b nanofluid
Results in physics, 2017Co-Authors: Tasawar Hayat, Taseer Muhammad, Ikram Ullah, Ahmed AlsaediAbstract:Abstract This paper investigates the double stratified effects in mixed convection Three-Dimensional Flow of an Oldroyd-B nanofluid. The Flow is due to a bidirectional stretching surface. Mathematical analysis is carried out using the temperature and concentration stratification effects. Brownian motion, thermophoresis and chemical reaction effects are also considered. The governing nonlinear boundary layer equations are first converted into the dimensionless ordinary differential equations and then solved for the convergent series solutions of velocity, temperature and nanoparticles concentration. Convergence analysis of the obtained series solutions is also checked and verified. Effects of various emerging parameters are studied in details. Numerical values of local Nusselt and Sherwood numbers are tabulated and analyzed. It is noticed that the impact of mixed convection parameter on temperature and nanoparticles concentration is quite similar. Both temperature and nanoparticles concentration are reduced for larger mixed convection parameter.
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a revised model for darcy forchheimer Three Dimensional Flow of nanofluid subject to convective boundary condition
Results in physics, 2017Co-Authors: Taseer Muhammad, Tasawar Hayat, Ahmed Alsaedi, S A ShehzadAbstract:Abstract Three-Dimensional Flow of nanoliquid characterizing porous space by Darcy-Forchheimer expression is studied. Zero nanoparticles mass flux and thermal convective conditions are implemented at the boundary. The modeled equations are reduced into dimensionless quantities. The governing mathematical phenomenon is tackled via optimal homotopic procedure. Importance of physical constraints is described through the plots. Numerical benchmark is presented to study the values of skin-friction coefficients and local Nusselt number. Skin-friction coefficients are declared increasing functions of porosity and Forchheimer parameters. Moreover the local Nusselt number is reduced for larger values of porosity and Forchheimer parameters.
Taseer Muhammad - One of the best experts on this subject based on the ideXlab platform.
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Three Dimensional Flow of prandtl fluid with cattaneo christov double diffusion
Results in physics, 2018Co-Authors: Arsalan Aziz, Taseer MuhammadAbstract:Abstract This research paper intends to investigate the 3D Flow of Prandtl liquid in the existence of improved heat conduction and mass diffusion models. Flow is created by considering linearly bidirectional stretchable sheet. Thermal and concentration diffusions are considered by employing Cattaneo-Christov double diffusion models. Boundary layer approach has been used to simplify the governing PDEs. Suitable nonDimensional similarity variables correspond to strong nonlinear ODEs. Optimal homotopy analysis method (OHAM) is employed for solutions development. The role of various pertinent variables on temperature and concentration are analyzed through graphs. The physical quantities such as surface drag coefficients and heat and mass transfer rates at the wall are also plotted and discussed. Our results indicate that the temperature and concentration are decreasing functions of thermal and concentration relaxation parameters respectively.
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Three-Dimensional Flow of Prandtl fluid with Cattaneo-Christov double diffusion
Elsevier, 2018Co-Authors: Arsalan Aziz, Taseer MuhammadAbstract:This research paper intends to investigate the 3D Flow of Prandtl liquid in the existence of improved heat conduction and mass diffusion models. Flow is created by considering linearly bidirectional stretchable sheet. Thermal and concentration diffusions are considered by employing Cattaneo-Christov double diffusion models. Boundary layer approach has been used to simplify the governing PDEs. Suitable nonDimensional similarity variables correspond to strong nonlinear ODEs. Optimal homotopy analysis method (OHAM) is employed for solutions development. The role of various pertinent variables on temperature and concentration are analyzed through graphs. The physical quantities such as surface drag coefficients and heat and mass transfer rates at the wall are also plotted and discussed. Our results indicate that the temperature and concentration are decreasing functions of thermal and concentration relaxation parameters respectively. Keywords: 3D Flow, Prandtl fluid, Cattaneo-Christov double diffusion, Optimal homotopy analysis method (OHAM
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an optimal study for Three Dimensional Flow of maxwell nanofluid subject to rotating frame
Journal of Molecular Liquids, 2017Co-Authors: Tasawar Hayat, Taseer Muhammad, M Mustafa, A. AlsaediAbstract:Abstract Here we are concerned with optimal homotopy solutions for Three-Dimensional Flow of Maxwell nanofluid in rotating frame. Flow is induced by uniform stretching of the boundary surface in one direction. Buongiorno model is adopted which features the novel aspects of Brownian diffusion and thermophoresis. Boundary layer approximations are invoked to simplify the governing system of partial differential equations. Appropriate relations are introduced to nonDimensionalize the relevant boundary layer expressions. Newly suggested condition associated with zero nanoparticles mass flux at the boundary is imposed. Uniformly valid convergent solution expressions are developed by means of optimal homotopy analysis method (OHAM). Plots have been portrayed in order to explain the role of embedded Flow parameters on the solutions. Heat transfer rate at the surface has been computed and analyzed. Our findings show that the temperature and concentration fields are smaller for Newtonian fluid when compared with the upper-convected Maxwell (UCM). Moreover Brownian diffusion has mild influence of heat flux at the boundary. Viscoelastic effect has tendency to reduce heat transfer rate from the stretching boundary.
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a revised model for darcy forchheimer Three Dimensional Flow of nanofluid subject to convective boundary condition
Results in physics, 2017Co-Authors: Taseer Muhammad, Tasawar Hayat, Ahmed Alsaedi, S A ShehzadAbstract:Abstract Three-Dimensional Flow of nanoliquid characterizing porous space by Darcy-Forchheimer expression is studied. Zero nanoparticles mass flux and thermal convective conditions are implemented at the boundary. The modeled equations are reduced into dimensionless quantities. The governing mathematical phenomenon is tackled via optimal homotopic procedure. Importance of physical constraints is described through the plots. Numerical benchmark is presented to study the values of skin-friction coefficients and local Nusselt number. Skin-friction coefficients are declared increasing functions of porosity and Forchheimer parameters. Moreover the local Nusselt number is reduced for larger values of porosity and Forchheimer parameters.
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computational modeling for homogeneous heterogeneous reactions in Three Dimensional Flow of carbon nanotubes
Results in physics, 2017Co-Authors: Tasawar Hayat, Ahmed Alsaedi, Taseer Muhammad, Sohail Ahmed, Muhammad AyubAbstract:Abstract Here homogeneous-heterogeneous reactions in Three-Dimensional Flow of water based nanofluid saturating a porous medium is modeled. A bidirectional nonlinearly stretching surface has been employed to generate the Flow. The characteristics of nanofluid are explored using CNTs (single and multi walled carbon nanotubes). Equal diffusion coefficients are considered for both reactants and auto catalyst. The conversion of partial differential equation equations (PDEs) to ordinary differential equations (ODEs) is done via appropriate transformations. Optimal homotopy approach is implemented for solution of governing problem. The optimal solution relations of velocities and concentration are explored through plots by using several values of physical parameters. The coefficients of skin friction are examined through graphs. Our results indicate that the skin friction coefficients are enhanced for larger values of nanoparticle volume fraction.
A. Alsaedi - One of the best experts on this subject based on the ideXlab platform.
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mixed convective Three Dimensional Flow of williamson nanofluid subject to chemical reaction
International Journal of Heat and Mass Transfer, 2018Co-Authors: Tasawar Hayat, A. Alsaedi, M Z Kiyani, Ijaz M Khan, I AhmadAbstract:Abstract Main theme of this article is to model and analyze the outcome of chemically reactive Flow of nanomaterial. Nanomaterial comprises thermophoresis and Brownian motion. Bidirectional nonlinear stretching sheet of constant thickness is considered. Rheological expressions of Williamson fluid is used to develop formulation. Boundary layer approach and suitable transformations are utilized to simplify the governing equations. Optimal homotopy analysis method OHAM is utilized for values of convergence control parameters. Tabulated values of skin friction coefficients and Nusselt and Sherwood numbers via different parameters are calculated and examined. Physical features of various pertinent parameters are argued through graphs. It is observed that velocity decays in x-direction for higher values of magnetic parameter. Temperature and concentration have contrast behavior for larger Brownian motion.
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an optimal study for Three Dimensional Flow of maxwell nanofluid subject to rotating frame
Journal of Molecular Liquids, 2017Co-Authors: Tasawar Hayat, Taseer Muhammad, M Mustafa, A. AlsaediAbstract:Abstract Here we are concerned with optimal homotopy solutions for Three-Dimensional Flow of Maxwell nanofluid in rotating frame. Flow is induced by uniform stretching of the boundary surface in one direction. Buongiorno model is adopted which features the novel aspects of Brownian diffusion and thermophoresis. Boundary layer approximations are invoked to simplify the governing system of partial differential equations. Appropriate relations are introduced to nonDimensionalize the relevant boundary layer expressions. Newly suggested condition associated with zero nanoparticles mass flux at the boundary is imposed. Uniformly valid convergent solution expressions are developed by means of optimal homotopy analysis method (OHAM). Plots have been portrayed in order to explain the role of embedded Flow parameters on the solutions. Heat transfer rate at the surface has been computed and analyzed. Our findings show that the temperature and concentration fields are smaller for Newtonian fluid when compared with the upper-convected Maxwell (UCM). Moreover Brownian diffusion has mild influence of heat flux at the boundary. Viscoelastic effect has tendency to reduce heat transfer rate from the stretching boundary.
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Three Dimensional Flow of nanofluid with cattaneo christov double diffusion
Results in physics, 2016Co-Authors: Taseer Muhammad, A. Alsaedi, Bashir AhmadAbstract:Abstract Three Dimensional (3D) boundary-layer Flow of viscous nanofluid has been investigated in the presence of Cattaneo–Christov double diffusion. A bi-directional linearly stretching sheet has been used to create the Flow. Thermal and concentration diffusions are characterized by introducing Cattaneo–Christov fluxes. Novel attributes regarding Brownian motion and thermophoresis are retained. The conversion of nonlinear partial differential system to nonlinear ordinary differential system is done through suitable transformations. The resulting nonlinear systems are solved. Graphs have been sketched in order to investigate that how the temperature and concentration profiles are affected by distinct physical Flow parameters. Further the skin friction and heat and mass transfer rates are numerically computed and discussed. Our findings depict that temperature and concentration distributions are decreasing functions of thermal and concentration relaxation parameters.
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magnetohydrodynamic Three Dimensional Flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation
Journal of Magnetism and Magnetic Materials, 2015Co-Authors: Tasawar Hayat, Taseer Muhammad, A. Alsaedi, M S AlhuthaliAbstract:Abstract Magnetohydrodynamic (MHD) Three-Dimensional Flow of couple stress nanofluid in the presence of thermophoresis and Brownian motion effects is analyzed. Energy equation subject to nonlinear thermal radiation is taken into account. The Flow is generated by a bidirectional stretching surface. Fluid is electrically conducting in the presence of a constant applied magnetic field. The induced magnetic field is neglected for a small magnetic Reynolds number. Mathematical formulation is performed using boundary layer analysis. Newly proposed boundary condition requiring zero nanoparticle mass flux is employed. The governing nonlinear mathematical problems are first converted into dimensionless expressions and then solved for the series solutions of velocities, temperature and nanoparticles concentration. Convergence of the constructed solutions is verified. Effects of emerging parameters on the temperature and nanoparticles concentration are plotted and discussed. Skin friction coefficients and Nusselt number are also computed and analyzed. It is found that the thermal boundary layer thickness is an increasing function of radiative effect.
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Three Dimensional Flow of nanofluid over a non linearly stretching sheet an application to solar energy
International Journal of Heat and Mass Transfer, 2015Co-Authors: Junaid Ahmad Khan, Tasawar Hayat, M Mustafa, A. AlsaediAbstract:Abstract This work deals with the Three-Dimensional Flow of nanofluid over an elastic sheet stretched non-linearly in two lateral directions. Suitable boundary conditions showing the power-law variation in the velocities are imposed. Further the recently suggested model for nanofluid is considered that requires nanoparticle volume fraction at the wall to be passively rather than actively controlled. A set of similarity transformations are introduced to convert the boundary layer equations into self-similar forms. The solutions have been obtained numerically through shooting method with fourth-fifth-order Runge–Kutta integration technique. The results reveal that penetration depths of temperature and nanoparticle volume fraction are decreasing functions of the power-law index. We notice that impact of Brownian motion in the temperature and heat transfer rate from the sheet is insignificant.
Ali J Chamkha - One of the best experts on this subject based on the ideXlab platform.
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irreversibility analysis of the Three Dimensional Flow of carbon nanotubes due to nonlinear thermal radiation and quartic chemical reactions
Journal of Molecular Liquids, 2019Co-Authors: Rakesh Kumar, M Sheikholeslami, Ravinder Kumar, Ali J ChamkhaAbstract:Abstract In this work, Three Dimensional Flow of a fluctuating nanofluid is examined in moving (rotating) coordinates. Carbon nanotubes (multi-wall carbon nanotubes (MWCNTs)/single-wall carbon nanotubes (SWCNTs)) are taken as nanoparticles whereas water is considered as the base fluid. Xue's model for effective thermal conductivity (carbon nanotube based composite) is utilized. Entropy generation is analyzed in the presence of both homogeneous and heterogeneous mass concentrations. The dimensionless variables are introduced to obtain the dimensionless form of the boundary layer equations along with the entropy augmentation equation. Equations are then solved using an explicit scheme based on the finite differences, and the behaviour of the entropy augmentation, Bejan number and temperature is elaborated. The effects of various dimensionless parameters such as Reynolds number, Brinkman number and radiation parameter on the entropy augmentation rate, and Bejan number are presented graphically for MWCNTs and SWCNTs. Variation in the engineering coefficients (Nusselt number, skin friction, Sherwood number) are shown with various emerging parameters for MWCNTs and SWCNTs. It is found that the entropy augmentation rate can be controlled by minimizing the action of the Brinkman and Reynolds numbers. The results also reveal that the heat transfer (rate) is bigger for SWCNTs in relation to MWCNTs.
Ahmed Alsaedi - One of the best experts on this subject based on the ideXlab platform.
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a revised model for darcy forchheimer Three Dimensional Flow of nanofluid subject to convective boundary condition
Results in physics, 2017Co-Authors: Taseer Muhammad, Tasawar Hayat, Ahmed Alsaedi, S A ShehzadAbstract:Abstract Three-Dimensional Flow of nanoliquid characterizing porous space by Darcy-Forchheimer expression is studied. Zero nanoparticles mass flux and thermal convective conditions are implemented at the boundary. The modeled equations are reduced into dimensionless quantities. The governing mathematical phenomenon is tackled via optimal homotopic procedure. Importance of physical constraints is described through the plots. Numerical benchmark is presented to study the values of skin-friction coefficients and local Nusselt number. Skin-friction coefficients are declared increasing functions of porosity and Forchheimer parameters. Moreover the local Nusselt number is reduced for larger values of porosity and Forchheimer parameters.
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computational modeling for homogeneous heterogeneous reactions in Three Dimensional Flow of carbon nanotubes
Results in physics, 2017Co-Authors: Tasawar Hayat, Ahmed Alsaedi, Taseer Muhammad, Sohail Ahmed, Muhammad AyubAbstract:Abstract Here homogeneous-heterogeneous reactions in Three-Dimensional Flow of water based nanofluid saturating a porous medium is modeled. A bidirectional nonlinearly stretching surface has been employed to generate the Flow. The characteristics of nanofluid are explored using CNTs (single and multi walled carbon nanotubes). Equal diffusion coefficients are considered for both reactants and auto catalyst. The conversion of partial differential equation equations (PDEs) to ordinary differential equations (ODEs) is done via appropriate transformations. Optimal homotopy approach is implemented for solution of governing problem. The optimal solution relations of velocities and concentration are explored through plots by using several values of physical parameters. The coefficients of skin friction are examined through graphs. Our results indicate that the skin friction coefficients are enhanced for larger values of nanoparticle volume fraction.
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thermal and solutal stratification in mixed convection Three Dimensional Flow of an oldroyd b nanofluid
Results in physics, 2017Co-Authors: Tasawar Hayat, Taseer Muhammad, Ikram Ullah, Ahmed AlsaediAbstract:Abstract This paper investigates the double stratified effects in mixed convection Three-Dimensional Flow of an Oldroyd-B nanofluid. The Flow is due to a bidirectional stretching surface. Mathematical analysis is carried out using the temperature and concentration stratification effects. Brownian motion, thermophoresis and chemical reaction effects are also considered. The governing nonlinear boundary layer equations are first converted into the dimensionless ordinary differential equations and then solved for the convergent series solutions of velocity, temperature and nanoparticles concentration. Convergence analysis of the obtained series solutions is also checked and verified. Effects of various emerging parameters are studied in details. Numerical values of local Nusselt and Sherwood numbers are tabulated and analyzed. It is noticed that the impact of mixed convection parameter on temperature and nanoparticles concentration is quite similar. Both temperature and nanoparticles concentration are reduced for larger mixed convection parameter.
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on magnetohydrodynamic Three Dimensional Flow of nanofluid over a convectively heated nonlinear stretching surface
International Journal of Heat and Mass Transfer, 2016Co-Authors: Tasawar Hayat, Arsalan Aziz, Taseer Muhammad, Ahmed AlsaediAbstract:Abstract This research article explores the magnetohydrodynamic (MHD) Three-Dimensional Flow of viscous nanofluid subject to convective surface boundary condition. Flow is generated by an impermeable surface which is stretched nonlinearly. The process of heat transfer is managed through the convective surface boundary condition. Heat and mass transfer aspects are studied through the thermophoresis and Brownian motion effects. Viscous fluid is assumed electrically conducting through a non-uniform applied magnetic field. Mathematical formulation is presented subject to small magnetic Reynolds number and boundary layer assumptions. Newly constructed condition having zero mass flux of nanoparticles at the boundary is incorporated. Suitable transformations yield a strong nonlinear differential system. Convergent homotopic solutions for resulting nonlinear system are constructed and verified. Impacts of various influential parameters on the temperature and nanoparticles concentration are sketched and discussed. Numerical computations are performed to examine the skin-friction coefficients and local Nusselt number.
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magnetohydrodynamic mhd Three Dimensional Flow of second grade nanofluid by a convectively heated exponentially stretching surface
Journal of Molecular Liquids, 2016Co-Authors: Tasawar Hayat, Taseer Muhammad, Ikram Ullah, Ahmed AlsaediAbstract:Abstract This article deals with the magnetohydrodynamic (MHD) Three-Dimensional Flow of second grade nanofluid in the presence of convective boundary condition. The Flow is induced due to an exponentially stretching surface. An electrically conducting fluid in the presence of uniform magnetic field is taken into account. Problem formulation is developed subject to boundary layer and small magnetic Reynolds number assumptions. The systems of nonlinear ordinary differential equations are obtained by using the appropriate transformations. Solutions of governing systems are first established and then convergence has been verified through plots and numerical data. A detailed parametric study is carried out to explore the effects of various physical parameters on the velocity, temperature and nanoparticles concentration profiles. Skin friction coefficients, local Nusselt and Sherwood numbers are tabulated and discussed. Our findings show that the temperature profile has a direct relationship with the magnetic parameter and Biot number.
