scholarly journals Numerical Study for Darcy–Forchheimer Flow of Nanofluid due to a Rotating Disk with Binary Chemical Reaction and Arrhenius Activation Energy

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 921 ◽  
Author(s):  
Mir Asma ◽  
W.A.M. Othman ◽  
Taseer Muhammad

The present article investigates Darcy–Forchheimer 3D nanoliquid flow because of a rotating disk with Arrhenius activation energy. Flow is created by rotating disk. Impacts of thermophoresis and Brownian dispersion are accounted for. Convective states of thermal and mass transport at surface of a rotating disk are imposed. The nonlinear systems have been deduced by transformation technique. Shooting method is employed to construct the numerical arrangement of subsequent problem. Plots are organized just to investigate how velocities, concentration, and temperature are influenced by distinct emerging flow variables. Surface drag coefficients and local Sherwood and Nusselt numbers are also plotted and discussed. Our results indicate that the temperature and concentration are enhanced for larger values of porosity parameter and Forchheimer number.

Coatings ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 86 ◽  
Author(s):  
Metib Alghamdi

This article addresses mixed convective 3D nanoliquid flow by a rotating disk with activation energy and magnetic field. Flow was created by a rotating disk. Velocity, concentration and temperature slips at the surface of a rotating disk were considered. Impacts of Brownian diffusion and thermophoretic were additionally accounted for. The non-linear frameworks are simplified by suitable variables. The shooting method is utilized to develop the numerical solution of resulting problem. Plots were prepared just to explore that how concentration and temperature are impacted by different pertinent flow parameters. Sherwood and Nusselt numbers were additionally plotted and explored. Furthermore, the concentration and temperature were enhanced for larger values of Hartman number. However, the heat transfer rate (Nusselt number) diminishes when the thermophoresis parameter enlarges.


Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1282 ◽  
Author(s):  
Mir Asma ◽  
W.A.M. Othman ◽  
Taseer Muhammad ◽  
Fouad Mallawi ◽  
B.R. Wong

This article examines magnetohydrodynamic 3D nanofluid flow due to a rotating disk subject to Arrhenius activation energy and heat generation/absorption. Flow is created due to a rotating disk. Velocity, temperature and concentration slips at the surface of the rotating disk are considered. Effects of thermophoresis and Brownian motion are also accounted. The nonlinear expressions have been deduced by transformation procedure. Shooting technique is used to construct the numerical solution of governing system. Plots are organized just to investigate how velocities, temperature and concentration are influenced by various emerging flow parameters. Skin-friction Local Nusselt and Sherwood numbers are also plotted and analyzed. In addition, a symmetry is noticed for both components of velocity when Hartman number enhances.


2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1143-1155
Author(s):  
Salman Ahmad ◽  
Khan Ijaz ◽  
Ahmed Waleed ◽  
Tufail Khan ◽  
Tasawar Hayat ◽  
...  

The computational investigations on mixed convection stagnation point flow of Jeffrey nanofluid over a stretched surface is presented herein. The sheet is placed vertical over which nanomaterials flowing upward direction. Arrhenius activation energy and binary chemical reaction are accounted. Non-linear radiative heat flux, MHD, viscous dissipation, heat source/sink, and Joule heating are considered. Initially the non-linear flow expressions are converted to ordinary one and then tackled for series solutions by homotopy analysis method. Consider flow problem are discussed for velocity, temperature and concentration through various flow variables. Furthermore, skin friction coefficient, Sherwood number, and heat transfer rate are computed graphically.


Author(s):  
T. Hayat ◽  
Sohail A. Khan ◽  
M. Ijaz Khan ◽  
A. Alsaedi

Abstract Here impact of activation energy in binary chemically reactive flow of third grade fluid is addressed. Flow is discussed by a stretchable rotating disk. Novel characteristics regarding thermophoresis and Brownian movement have been analyzed. Nonlinear thermal radiation is considered. Convergent series solutions to nonlinear problems are computed. Impacts of various physical parameters like Brownian motion parameter, Prandtl number, mixed convection parameter, thermophoresis parameter, radiation parameter, activation energy, chemical reaction and Schmidt number on the velocity, concentration and thermal fields are discussed and analyzed. Velocity, temperature and concentration gradients are computed and discussed through various flow variables. Their obtained results present that velocity, temperature, concentration fields are strongly depends on the flow parameters. Main conclusions are presented.


Author(s):  
M. Ijaz Khan ◽  
Sohail A. Khan ◽  
T. Hayat ◽  
M. Imran Khan ◽  
A. Alsaedi

Abstract Main motivation of the present research article is to investigate impact of Arrhenius activation energy in stagnation point flow of hybrid nanomaterial towards a stretched surface. Hybrid nanomaterial comprises of two or more types of nanomaterials along with continuous phase liquid. In this study two types of nanofluids are used namely titanium dioxide and copper. Nonlinear system is converted to ordinary system through appropriate transformation. For convergence series solutions, the obtained system is solved using homotopy analysis methods. Lorentz force impact is observed. Graphical results for different physical variables on the velocity, concentration, induced magnetic field and temperature for $Cu - {H_2}O$ and $Ti{O_2} - Cu/{H_2}O$ are discussed. The physical aspects of skin friction and Sherwood and Nusselt numbers are discussed by tabulated values.


2020 ◽  
pp. 174-174
Author(s):  
Dina Abuzaid ◽  
Malik Ullah

This attempt discusses mixed convection Oldroyd-B nanoliquid flow over a doubly stratified surface in existence of activation energy. Impacts of Brownian diffusion and thermophoretic are additionally accounted. The non-linear frameworks are simplified by suitable variables. Shooting method is utilized to develop numeric solution of resulting issue. Graphs have been composed just to explore that how concentration and the temperature are impacted by different developing flow factors. Mass and heat transport rates are additionally tabulated and dissected. Furthermore, the temperature and concentration distributions are enhanced for larger thermophoresis parameter.


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