MHD Stagnation Point Flow of Williamson Nanofluid Over an Exponentially Inclined Stretching Surface with Thermal Radiation and Viscous Dissipation

2018 ◽  
Vol 7 (4) ◽  
pp. 683-693 ◽  
Author(s):  
Punnam Rajendar ◽  
L. Anand Babu
Keyword(s):  
Thermal Radiation ◽  
Stagnation Point ◽  
Viscous Dissipation ◽  
Stagnation Point Flow ◽  
Stretching Surface

scholarly journals Dual similarity solutions of MHD stagnation point flow of Casson fluid with effect of thermal radiation and viscous dissipation: stability analysis

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Liaquat Ali Lund ◽  
Zurni Omar ◽  
Ilyas Khan ◽  
Dumitru Baleanu ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Stagnation Point ◽  
Viscous Dissipation ◽  
Shooting Method ◽  
Casson Fluid ◽  
Similarity Solutions ◽  
Stagnation Point Flow ◽  
Stretching Surfaces

Abstract In this paper, the rate of heat transfer of the steady MHD stagnation point flow of Casson fluid on the shrinking/stretching surface has been investigated with the effect of thermal radiation and viscous dissipation. The governing partial differential equations are first transformed into the ordinary (similarity) differential equations. The obtained system of equations is converted from boundary value problems (BVPs) to initial value problems (IVPs) with the help of the shooting method which then solved by the RK method with help of maple software. Furthermore, the three-stage Labatto III-A method is applied to perform stability analysis with the help of a bvp4c solver in MATLAB. Current outcomes contradict numerically with published results and found inastounding agreements. The results reveal that there exist dual solutions in both shrinking and stretching surfaces. Furthermore, the temperature increases when thermal radiation, Eckert number, and magnetic number are increased. Signs of the smallest eigenvalue reveal that only the first solution is stable and can be realizable physically.

scholarly journals Heat Transfer due to Magnetohydrodynamic Stagnation-Point Flow of a Power-Law Fluid towards a Stretching Surface in the Presence of Thermal Radiation and Suction/Injection

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Tapas Ray Mahapatra ◽  
Sabyasachi Mondal ◽  
Dulal Pal
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Stagnation Point ◽  
Power Law ◽  
Free Stream ◽  
Free Stream Velocity ◽  
Stagnation Point Flow ◽  
Stream Velocity ◽  
Stretching Surface ◽  
Power Law Fluid

An analysis is made on the study of two-dimensional MHD (magnetohydrodynamic) boundary-layer stagnation-point flow of an electrically conducting power-law fluid over a stretching surface when the surface is stretched in its own plane with a velocity proportional to the distance from the stagnation-point in the presence of thermal radiation and suction/injection. The paper examines heat transfer in the stagnation-point flow of a power-law fluid except when the ratio of the free stream velocity and stretching velocity is equal to unity. The governing partial differential equations along with the boundary conditions are first brought into a dimensionless form and then the equations are solved by Runge-Kutta fourth-order scheme with shooting techniques. It is found that the temperature at a point decreases/increases with increase in the magnetic field when free stream velocity is greater/less than the stretching velocity. It is further observed that for a given value of the magnetic parameter M, the dimensionless rate of heat transfer at the surface and |θ′(0)| decreases/increases with increase in the power-law index n. Further, the temperature at a point in the fluid decreases with increase in the radiation parameter NR when free stream velocity is greater/less than the stretching velocity.

Convective-Radiation Effects on Stagnation Point Flow of Nanofluids over a Stretching/Shrinking Surface with Viscous Dissipation

2014 ◽  
Vol 30 (3) ◽  
pp. 289-297 ◽  
Author(s):  
D. Pal ◽  
K. Vajravelu ◽  
G. Mandal
Keyword(s):  
Thermal Radiation ◽  
Stagnation Point ◽  
Viscous Dissipation ◽  
Radiation Effects ◽  
Internal Heat ◽  
Stagnation Point Flow ◽  
Physical Parameters ◽  
Boundary Layer Equations ◽  
Fifth Order ◽  
Shrinking Surface

ABSTRACTIn this paper, mixed convection stagnation point flow of nanofluids over a stretching/shrinking surface is studied numerically in the presence of thermal radiation and viscous dissipation. The governing boundary layer equations are transformed into a system of nonlinear ordinary differential equations, by using a similarity transformation, which are then solved numerically using a fifth-order Runge-Kutta-Fehlberg method with shooting technique. The effects of various physical parameters are analyzed and discussed. Computed results are presented in graphical and tabular forms. It is found that the Richardson number, thermal radiation and internal heat generation/absorption have interesting and significant effects on skin-friction and local Nusselt number for all the three types of nanofluids.

MHD Stagnation Point Flow of Nanofluid Towards a Stretching Surface with Variable Thickness and Thermal Radiation

2015 ◽  
Vol 4 (2) ◽  
pp. 247-253 ◽  
Author(s):  
G. K. Ramesh ◽  
B. C. Prasanna Kumara ◽  
B. J. Gireesha ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Thermal Radiation ◽  
Stagnation Point ◽  
Variable Thickness ◽  
Stagnation Point Flow ◽  
Stretching Surface

scholarly journals Thermal Radiation Effect on MHD Stagnation Point flow of Williamson Fluid over a stretching Surface

2019 ◽  
Vol 1366 ◽  
pp. 012011
Author(s):  
Hasmawani Hashim ◽  
Muhammad Khairul Anuar Mohamed ◽  
Nazila Ishak ◽  
Norhafizah Md Sarif ◽  
Mohd Zuki Salleh
Keyword(s):  
Thermal Radiation ◽  
Stagnation Point ◽  
Radiation Effect ◽  
Stagnation Point Flow ◽  
Stretching Surface ◽  
Williamson Fluid ◽  
Thermal Radiation Effect
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