Effect of Nonlinear Thermal Radiation on Magnetohydrodynamic Stagnation Point Flow of Williamson Fluid Induced by Nonlinear Stretching Sheet in the Presence of Non Uniform Heat Generation/Absorption

2019 ◽  
Vol 8 (7) ◽  
pp. 1528-1534
Author(s):  
B. Sandhyarani ◽  
M. Monica ◽  
J. Anand Rao
Keyword(s):  
Thermal Radiation ◽  
Stagnation Point ◽  
Heat Generation ◽  
Stretching Sheet ◽  
Stagnation Point Flow ◽  
Nonlinear Thermal Radiation ◽  
Williamson Fluid ◽  
Uniform Heat ◽  
Nonlinear Stretching

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 Buoyancy-Induced MHD Stagnation Point Flow of Williamson Fluid with Thermal Radiation

2020 ◽  
pp. 9-18 ◽  
Author(s):  
J. O. Ouru ◽  
W. N. Mutuku ◽  
A. S. Oke
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Fluid Velocity ◽  
Nonlinear Partial Differential Equations ◽  
Polymer Processing ◽  
Stagnation Point Flow ◽  
Radiation Parameter ◽  
Williamson Fluid

Flow of fluids subjected to thermal radiation has enormous application in polymer processing, glass blowing, cooling of nuclear reactant and harvesting solar energy. This paper considers the MHD stagnation point flow of non-Newtonian pseudoplastic Williamson fluid induced by buoyancy in the presence of thermal radiation. A system of nonlinear partial differential equations suitable to describe the MHD stagnation point flow of Williamson fluid over a stretching sheet is formulated and then transformed using similarity variables to boundary value ordinary differential equations. The graphs depicting the effect of thermal radiation parameter, buoyancy and electromagnetic force on the fluid velocity and temperature of the stagnation point flow are given and the results revealed that increase in buoyancy leads to an increase in the overall velocity of the flow but a decrease in the temperature of the flow.

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