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Newtonian heating in stagnation point flow of Burgers fluid

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Applied mathematics and mechanics(English Edition) 2015年第1期36卷 61-68页

作者： T.HAYAT s.ALI m.AWAIs m.s.alhuthali Department of mathematics Quaid-i-Azam University Nonlinear Analysis and Applied mathematics (NAAm) Research Group Faculty of Science King Abdulaziz University Faculty of Engineering sciences Ghulam Ishaq Khan Institute of Engineering Sciences and Technology Department of mathematics COMSATS Institute of Information Technology

The Newtonian heating effects in the stagnation point flow of a Burgers fluid are addressed in this paper. The boundary layer flow problems are stated in the spatial domain from zero to infinity. The solution expressions for the velocity and the temperature are obtained and examined for the influential variables. The tabulated values show comparison with the previous results. It is observed that the obtained results are in good agreement with the existing results in limiting sense.

关键词： Burgers fluid Newtonian heating series solutions

mixed convection flow of jeffrey nanofluid with thermal radiation and double stratification

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Journal of Hydrodynamics 2016年第5期28卷 840-849页

作者： F.m.ABBAsI s.A.sHEHZAD T.HAYAT m.s.alhuthali Department of mathematics COMSATS Institute of Information Technology Islamabad Department of mathematics Comsats Institute of Information Technology Department of mathematics Quaid-i-Azam University Nonlinear Analysis and Applied mathematics (NAAm) Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz University

This article addresses the two-dimensional laminar boundary layer flow of magnetohydrodynamic （mHD） Jeffrey nano- fluid with mixed convection. Effects of thermal radiation, thermophoresis, Brownian motion and double stratifications are taken into account. Rosseland＇s approximation is utilized for the thermal radiation phenomenon. Convergent series solutions of velocity, tempe- rature and nanoparticle concentration are developed. Graphs of dimensionless temperature and nanoparticle concentration are prese- nted to investigate the influences of different emerging parameters. The values of skin-friction coefficient, local Nusselt and sherwood numbers are computed and discussed for both Jeffrey and viscous fluids cases. We have observed that the temperature profile retarded for the larger values of Deborah number while an enhancement is noticed with the increasing values of ratio of relaxation to retardation times. Increasing values of thermal and nanoparticle concentration stratifications lead to a reduction in the temperature and nanoparticle concentration. The values of local Nusselt and sherwood numbers are larger for the viscous fluid case when compared with Jeffrey fluid.

关键词： mHD flow Jeffrey nanofluid double stratification thermal radiation mixed convection

Newtonian heating effects in three-dimensional flow of viscoelastic fluid

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Chinese Physics B 2014年第5期23卷 373-379页

作者： A.Qayyum T.Hayat m.s.alhuthali H.m.malaikah Department of mathematics Quaid-i-Azam University 45320Islamabad 44000Pakistan Department of mathematics Faculty of ScienceKing Abdulaziz University

A mathematical model is constructed to investigate the three-dimensional flow of a non-Newtonian fluid. An in-compressible viscoelastic fluid is used in mathematical formulation. The conjugate convective process （in which heat the transfer rate from the bounding surface with a finite capacity is proportional to the local surface temperature） in three-dimensional flow of a differential type of non-Newtonian fluid is analyzed for the first time. series solutions for the nonlinear differential system are computed. Plots are presented for the description of emerging parameters entering into the problem. It is observed that the conjugate heating phenomenon causes an appreciable increase in the temperature at the stretching wall.

关键词： viscoelastic fluid three-dimensional flow Newtonian heating

mHD three-dimensional flow of Jeffrey fluid with Newtonian heating

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Journal of Central south University 2014年第4期21卷 1428-1433页

作者： s.A.shehzad T.Hayat m.s.alhuthali s.Asghar Department of mathematics Quaid-i-Azam University Nonlinear Analysis and Applied mathematics (NAAm) Research Group Faculty of ScienceKing Abdulaziz University Department of mathematics Comsats Institute of Information Technology

The magnetohydrodynamic(mHD) three-dimensional flow of Jeffrey fluid in the presence of Newtonian heating is investigated. Flow is caused by a bidirectional stretching surface. series solutions are constructed for the velocity and temperature fields. Convergence of series solutions is ensured graphically and numerically. The variations of key parameters on the physical quantities are shown and discussed in detail. Constructed series solutions are compared with the existing solutions in the limiting case and an excellent agreement is noticed. Nusselt numbers are computed with and without magnetic fields. It is observed that the Nusselt number decreases in the presence of magnetic field.

关键词： three-dimensional flow Jeffrey fluid Newtonian heating