Effects of Nonlinear Thermal Radiation on Unsteady MHD Flow of Carreau Nanofluid Induced by a Permeable Stretching Sheet with Chemical Reaction

2018 ◽  
Vol 7 (2) ◽  
pp. 358-370 ◽  
Author(s):  
N. Vijaya Bhaskar Reddy ◽  
Kishan Naikoti
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Nonlinear Thermal Radiation ◽  
Carreau Nanofluid

scholarly journals Stefan Blowing Impacts on Unsteady MHD Flow of Nanofluid over a Stretching Sheet with Electric Field, Thermal Radiation and Activation Energy

Coatings ◽  
2021 ◽  
Vol 11 (9) ◽  
pp. 1048
Author(s):  
Syed Muhammad Ali Haider ◽  
Bagh Ali ◽  
Qiuwang Wang ◽  
Cunlu Zhao
Keyword(s):  
Activation Energy ◽  
Thermal Radiation ◽  
Electric Fields ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Flow Characteristics ◽  
Mhd Flow ◽  
Temperature Fields ◽  
Nanoparticle Concentration ◽  
The Impact

In this paper, a mathematical model is established to examine the impacts of Stefan blowing on the unsteady magnetohydrodynamic (MHD) flow of an electrically conducting nanofluid over a stretching sheet in the existence of thermal radiation, Arrhenius activation energy and chemical reaction. It is proposed to use the Buongiorno nanofluid model to synchronize the effects of magnetic and electric fields on the velocity and temperature fields to enhance the thermal conductivity. We utilized suitable transformation to simplify the governing partial differential equation (PDEs) into a set of nonlinear ordinary differential equations (ODEs). The obtained equations were solved numerically with the help of the Runge–Kutta 4th order using the shooting technique in a MATLAB environment. The impact of the developing flow parameters on the flow characteristics is analyzed appropriately through graphs and tables. The velocity, temperature, and nanoparticle concentration profiles decrease for various values of involved parameters, such as hydrodynamic slip, thermal slip and solutal slip. The nanoparticle concentration profile declines in the manifestation of the chemical reaction rate, whereas a reverse demeanor is noted for the activation energy. The validation was conducted using earlier works published in the literature, and the results were found to be incredibly consistent.

scholarly journals Impact of nonlinear thermal radiation on stagnation-point flow of a Carreau nanofluid past a nonlinear stretching sheet with binary chemical reaction and activation energy

2017 ◽  
Vol 232 (6) ◽  
pp. 962-972 ◽  
Author(s):  
A Zaib ◽  
MM Rashidi ◽  
AJ Chamkha ◽  
NF Mohammad
Keyword(s):  
Activation Energy ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Stagnation Point ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Velocity Ratio ◽  
Stagnation Point Flow ◽  
Nonlinear Thermal Radiation ◽  
Nonlinear Stretching

This research peruses the characteristics of nanoparticles on stagnation point flow of a generalized Newtonian Carreau fluid past a nonlinear stretching sheet with nonlinear thermal radiation. The process of mass transfer is modeled using activation energy and binary chemical reaction along with the Brownian motion and thermophoresis. For energy activation a modified Arrhenius function is invoked. With regard to the solution of the governing differential equations, suitable transformation variables are used to obtain the system of nonlinear ordinary differential equations before being numerically solved using the shooting method. Graphical results are shown in order to scrutinize the behavior of pertinent parameters on velocity, temperature profiles, and concentration of nanoparticle. Also, the behavior of fluid flow is investigated through the coefficient of the skin friction, Nusselt number, Sherwood number, and streamlines. Results showed that the velocity ratio parameter serves to increase the velocity of fluid and reduces the temperature distribution and nanoparticle concentration. The results were compared with the available studies and were found to be in excellent agreement.

scholarly journals Effect of Nonlinear Thermal Radiation, Heat Source on MHD 3D Darcy-Forchheimer Flow of Nanofluid Over Aa Porous Medium with Chemical Reaction

2018 ◽  
Vol 7 (4.10) ◽  
pp. 605 ◽  
Author(s):  
Nainaru Tarakaramu ◽  
K. Ramesh Babu ◽  
P. V. Satyanarayana
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Transverse Velocity ◽  
Nonlinear Partial Differential Equations ◽  
Numerical Data ◽  
Mhd Flow ◽  
Nonlinear Thermal Radiation

The present work nonlinear thermal radiation and chemical reaction effect on three-dimensional MHD flow of permeable medium analysed. We are considering introduce the Darcy-Forchheimer law along with axial and transverse velocity. Using suitable transportations the nonlinear partial differential equations are converted into ordinary differential equations. These equations are solved numerically by 4th Runge-Kutta-Fehlberg scheme with shooting procedure. We are getting unique numerical solution for distinct physical variables temperature and concentration fields are depicted. Also the heat transfer and skin friction coefficients drawn through numerical data. We are finding great results of the velocity profiles behaviors opposite trend of porosity and Forchheimer parameters, the profiles of and behavior reverse trend follows other than chemical reaction parameter, both directions of skin friction coefficient and heat transfer rates reduction.  

scholarly journals Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Musa Antidius Mjankwi ◽  
Verdiana Grace Masanja ◽  
Eunice W. Mureithi ◽  
Makungu Ng’oga James
Keyword(s):  
Thermal Conductivity ◽  
Mass Transfer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Transfer Rates ◽  
Fluid Properties

The unsteady magnetohydrodynamics (MHD) flow of nanofluid with variable fluid properties over an inclined stretching sheet in the presence of thermal radiation and chemical reaction is studied taking into account the effect of variable fluid properties in thermal conductivity and diffusion coefficient. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformation. The numerical solutions of the problem are obtained by using the fourth order Runge-Kutta method in line with the shooting technique. It is found that the increase in both thermal conductivity and radiative heat flux decreases the heat transfer rate but increases the skin friction and mass transfer rates. It is further observed that the increase in porosity parameter and magnetic field reduces the skin friction, heat, and mass transfer rates.

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