Carbon nanotubes effects in the stagnation point flow towards a nonlinear stretching sheet with variable thickness

2016 ◽  
Vol 27 (4) ◽  
pp. 1677-1688 ◽  
Author(s):  
T. Hayat ◽  
Zakir Hussain ◽  
A. Alsaedi ◽  
S. Asghar
Keyword(s):  
Carbon Nanotubes ◽  
Stagnation Point ◽  
Variable Thickness ◽  
Stretching Sheet ◽  
Stagnation Point Flow ◽  
Nonlinear Stretching

scholarly journals Analysis of Electromagnetohydrodynamic Stagnation Point Flow of Nanofluid Over a Nonlinear Stretching Sheet with Variable Thickness

2019 ◽  
Vol 35 (5) ◽  
pp. 719-733 ◽  
Author(s):  
G. S. Seth ◽  
P. K. Mandal
Keyword(s):  
Differential Equations ◽  
Stagnation Point ◽  
Variable Thickness ◽  
Stretching Sheet ◽  
Power Index ◽  
Stagnation Point Flow ◽  
Convective Heating ◽  
Fluid Temperature ◽  
Nanoparticle Concentration ◽  
Nonlinear Stretching

ABSTRACTPresent study explores stagnation point flow of nanofluid towards a nonlinear stretching sheet of variable thickness in the presence of electromagnetic field and convective heating. The effect of viscous dissipation and Joule heating are also taken into consideration. Novel concept of non-linear radiative heat flux is also considered. The nanofluid is inspired by Lorentz force which is instigated from the interaction of magnetic and electric fields. Using similarity transformation, the governing partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and then solved numerically by fourth order Runge-Kutta method along with shooting technique. The velocity, temperature and nanoparticle concentration profiles are plotted and analysed corresponding to various pertinent flow parameters. Also, the skin friction and rate of heat and mass transfers at the surface are computed and explained in detail. It is observed that higher wall thickness parameter results in the reduction of velocity, temperature and nanoparticle concentration when velocity power index is less than unity and opposite effect is observed when velocity power index is greater than unity. Due to intensification of electric field, nanofluid velocity is getting retarded and thereby resulting in enhancement of fluid temperature and nanoparticle concentration.

scholarly journals Stagnation-point flow of second grade nanofluid towards a nonlinear stretching surface with variable thickness

2017 ◽  
Vol 7 ◽  
pp. 2821-2830 ◽  
Author(s):  
Rai Sajjad Saif ◽  
Tasawar Hayat ◽  
Rahmat Ellahi ◽  
Taseer Muhammad ◽  
Ahmed Alsaedi
Keyword(s):  
Stagnation Point ◽  
Variable Thickness ◽  
Stagnation Point Flow ◽  
Second Grade ◽  
Stretching Surface ◽  
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.

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