Binary chemical reaction with activation energy in dissipative flow of non-Newtonian nanomaterial

2020 ◽  
Vol 19 (03) ◽  
pp. 2040006 ◽  
Author(s):  
M. Ijaz Khan ◽  
Faris Alzahrani
Keyword(s):  
Activation Energy ◽  
Mass Transfer ◽  
Chemical Reaction ◽  
Ohmic Heating ◽  
Skin Friction Coefficient ◽  
Entropy Rate ◽  
Brownian Diffusion ◽  
Jeffrey Fluid ◽  
Bejan Number ◽  
Engineering Sciences

This paper deals with the entropy optimization and heat transport of magneto-nanomaterial flow of non-Newtonian (Jeffrey fluid) towards a curved stretched surface. MHD fluid is accounted. The modeling of energy expression is developed subject to Brownian diffusion, Joule (Ohmic) heating, thermophoresis and viscous dissipation. Total entropy rate is discussed with the help of fluid friction irreversibility, mass transfer irreversibility, Joule heating irreversibility and heat transfer irreversibility. Binary chemical reaction with the smallest amount of activation energy is further considered. The governing equations of Jeffrey fluid with effects of hydrodynamic, thermal radiation, heat and mass transfer were solved through built-in-shooting method. The flow variables on the entropy rate, velocity field, concentration, Bejan number, skin friction coefficient and temperature are physically discussed through various graphs. The outcomes reveal that the entropy rate increases with an enhancement in curvature parameter. Such obtained outcomes help in mechanical and industrial engineering sciences. Moreover, the velocity and temperature decays versus ratio of relaxation to retardation times are also noticed.

Dynamics of Activation Energy and Nonlinear Mixed Convection in Darcy-Forchheimer Radiated Flow of Carreau Nanofluid near Stagnation Point Region

2020 ◽  
pp. 1-20
Author(s):  
Muhammad Ijaz Khan ◽  
Faris Alzahrani
Keyword(s):  
Activation Energy ◽  
Ohmic Heating ◽  
Colloidal Suspensions ◽  
Continuous Phase ◽  
Nonlinear Flow ◽  
Brownian Diffusion ◽  
Bejan Number ◽  
Surface Drag ◽  
Similarity Transformations ◽  
The Impact

Abstract Nanofluid comprising nanometer sized materials, called nanoparticles. These liquids are built colloidal suspensions of nanomaterials in a continuous phase liquid. The nanomaterials utilized in nanoliquids are typically made of carbon nanotubes, oxides and metals. In this research communication, the impact of Brownian diffusion and thermophoresis is addressed in flow of non-Newtonian fluid with CC model towards shrinking/stretching surface. The energy equation is developed subject to dissipation, radiative flux (nonlinear) and Ohmic heating. Activation energy is further considered for chemical reaction. The nonlinear flow expressions are transformed into ordinary differential equations with the help of similarity transformations. The obtained systems of ODE's are numerically solved through Shooting method (bvp4c). The concentration, temperature and velocity profiles are determined graphically. Mass transfer, surface drag force and heat transfer rate are showed by tables. In last, entropy and Bejan number are discussed through graphs in which entropy showed increasing behavior for magnetic, radiation, Brinkman and diffusivity parameter but Bejan number showed opposite behavior for them.

The effect of radiation on free convective flow and mass transfer past a vertical isothermal cone surface with chemical reaction in the presence of a transverse magnetic field

2004 ◽  
Vol 82 (6) ◽  
pp. 447-458 ◽  
Author(s):  
A A Afify
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Boundary Conditions ◽  
Chemical Reaction ◽  
Transverse Magnetic Field ◽  
Convective Flow ◽  
Transverse Magnetic ◽  
Skin Friction Coefficient ◽  
Free Convective Flow ◽  
Cone Surface

The effects of radiation and chemical reactions, in the presence of a transverse magnetic field, on free convective flow and mass transfer of an optically dense viscous, incompressible, and electrically conducting fluid past a vertical isothermal cone surface are investigated. The nonlinear boundary-layer equations with the boundary conditions are transferred by a similarity transformation into a system of nonlinear ordinary differential equations with the appropriate boundary conditions. Furthermore, the similarity equations are solved numerically by using a fourth-order Runge–Kutta scheme with the shooting method. Numerical results for the skin-friction coefficient, the local Nusselt number, the local Sherwood number are given; as well, the velocity, temperature, and concentration profiles are presented for a Prandtl number of 0.7, the chemical-reaction parameter, the order of the reaction, the radiation parameter, the Schmidt number, the magnetic parameter, and the surface temperature parameter. PACS No.: 47.70.Fw

scholarly journals Impact of arrhenius activation energy in viscoelastic nanomaterial flow subject to binary chemical reaction and non-linear mixed convection

2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1143-1155
Author(s):  
Salman Ahmad ◽  
Khan Ijaz ◽  
Ahmed Waleed ◽  
Tufail Khan ◽  
Tasawar Hayat ◽  
...  
Keyword(s):  
Activation Energy ◽  
Mixed Convection ◽  
Chemical Reaction ◽  
Skin Friction Coefficient ◽  
Arrhenius Activation Energy ◽  
Non Linear ◽  
Homotopy Analysis ◽  
Upward Direction ◽  
Flow Variables ◽  
Source Sink

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.

Exact Solutions for the Magnetohydrodynamic Flow of a Jeffrey Fluid with Convective Boundary Conditions and Chemical Reaction

2012 ◽  
Vol 67 (8-9) ◽  
pp. 517-524 ◽  
Author(s):  
Ahmed Alsaedi ◽  
Zahid Iqbal ◽  
Meraj Mustafa ◽  
Tasawar Hayat
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Boundary Conditions ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Similarity Solutions ◽  
Jeffrey Fluid ◽  
Rheological Parameter ◽  
Convective Boundary Conditions ◽  
Convective Boundary

The two-dimensional magnetohydrodynamic (MHD) flow of a Jeffrey fluid is investigated in this paper. The characteristics of heat and mass transfer with chemical reaction have also been analyzed. Convective boundary conditions have been invoked for the thermal boundary layer problem. Exact similarity solutions for flow, temperature, and concentration are derived. Interpretation to the embedded parameters is assigned through graphical results for dimensionless velocity, temperature, concentration, skin friction coefficient, and surface heat and mass transfer. The results indicate an increase in the velocity and the boundary layer thickness by increasing the rheological parameter of the Jeffrey fluid. An intensification in the chemical reaction leads to a thinner concentration boundary layer.

scholarly journals Effects of Binary Chemical Reaction and Activation Energy on MHD Boundary Layer Heat and Mass Transfer Flow with Viscous Dissipation and Heat Generation/Absorption

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Kh. Abdul Maleque
Keyword(s):  
Activation Energy ◽  
Boundary Layer ◽  
Mass Transfer ◽  
Differential Equations ◽  
Heat And Mass Transfer ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Heat Generation ◽  
Porous Plate ◽  
Local Similarity

We study an unsteady MHD free convection heat and mass transfer boundary layer incompressible fluid flow past a vertical porous plate in the presence of viscous dissipation, heat generation/absorption, chemical reaction, and Arrhenius activation energy. The plate is moving with uniform velocity. The chemical reaction rate in the function of temperature is also considered. The governing partial differential equations are reduced to ordinary differential equations by introducing local similarity transformation (Maleque (2010)) and then are solved numerically by shooting method using the Nachtsheim-Swigert iteration technique. The results of the numerical solution are then presented graphically as well as the tabular form for difference values of the various parameters.

scholarly journals Analysis of entropy generation minimization (EGM) in flow of Ree-Eyring nanofluid between two coaxially rotating disks

2020 ◽  
pp. 57-57
Author(s):  
Muhammad Khan ◽  
Riaz Muhammad ◽  
Sumaira Qayyum ◽  
Niaz Khan ◽  
M. Jameel
Keyword(s):  
Ohmic Heating ◽  
Skin Friction Coefficient ◽  
Random Motion ◽  
Brownian Diffusion ◽  
Physical Parameters ◽  
Rotating Disks ◽  
Rotational Parameter ◽  
Transfer Rates ◽  
Homotopy Analysis ◽  
Buongiorno Model

The present communication addresses MHD radiative nanomaterial flow of Ree-Eying fluid between two coaxially rotating disks. Both disks are stretchable. Buongiorno model is used for nanofluids. Nanofluid aspects comprise random motion of particles (Brownian diffusion) and thermophoresis. MHD fluid is considered. Furthermore, dissipation, radiative heat flux and Ohmic heating effects are considered to model the energy equation. Total entropy rate is calculated through implementation of second thermodynamics law. Series solutions are developed through homotopy analysis method. Impacts of physical parameters on the velocity, temperature, entropy and concentration fields are discussed graphically. Skin friction coefficient and heat and mass transfer rates are numerically calculated through Tables 2-4. It is noticed that the velocity of liquid particles decreases versus higher estimations of magnetic parameter while it enhances via larger rotational parameter. Temperature field significantly increases in the presence of both Brownian diffusion and thermophoresis parameters.

Heat and Mass Transfer in an Unsteady Magnetohydrodynamics Al2O3–Water Nanofluid Squeezed Between Two Parallel Radiating Plates Embedded in Porous Media With Chemical Reaction

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
R. A. Mohamed ◽  
S. Z. Rida ◽  
A. A. M. Arafa ◽  
M. S. Mubarak
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Differential Equations ◽  
Heat Source ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Skin Friction Coefficient ◽  
Parallel Plates ◽  
Squeeze Number ◽  
Source Sink

Abstract In this paper, the influence of chemical reaction and heat source/sink on an unsteady magnetohydrodynamics (MHD) nanofluid flow that squeezed between two radiating parallel plates embedded in porous media is investigated analytically. We consider water as base fluid and aluminum oxide (Al2O3) as its nanoparticle. We reduced the basic partial differential equations to ordinary differential equations which are solved by the homotopy analysis method (HAM). The effects of the squeeze number, permeability parameter of porous media, Hartmann number, thermal radiation parameter, Prandtl number, heat source/sink parameter, Eckert number, Schmidt number, and scaled parameter of chemical reaction on the flow, heat, and mass transfer are considered and assigned to graphs. The physical quantities such as Sherwood number, Nusselt number, and skin friction coefficient are computed for Al2O3–water, TiO2–water, Ag–water, and Cu–water nanofluids and assigned through graphs.

scholarly journals The Investigation of MHD Williamson Nanofluid over Stretching Cylinder with the Effect of Activation Energy

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Wubshet Ibrahim ◽  
Mekonnen Negera
Keyword(s):  
Activation Energy ◽  
Mass Transfer ◽  
Nusselt Number ◽  
Skin Friction Coefficient ◽  
Stretching Cylinder ◽  
Concentration Increase ◽  
Dimensionless Velocity ◽  
Heat Generation Or Absorption ◽  
Published Paper ◽  
Good Agreement

In this paper, we discussed the effect of activation energy on mixed convective heat and mass transfer of Williamson nanofluid with heat generation or absorption over a stretching cylinder. Dimensionless ordinary differential equations are obtained from the modeled PDEs by using appropriate transformations. Numerical results of the skin friction coefficient, Nusselt number, and Sherwood number for different parameters are computed. The effects of the physical parameter on temperature, velocity, and concentration have been discussed in detail. From the result, it is found that the dimensionless velocity decreases whereas temperature and concentration increase when the porous parameter is enhanced. The present result has been compared with published paper and found good agreement.

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