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

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.

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Nonlinear Thermal Radiation and Joule Heating Effects on MHD Stagnation Point Flow of a Nanofluid Over a Convectively Heated Stretching Surface

Journal of Nanofluids ◽

10.1166/jon.2019.1651 ◽

2018 ◽

Vol 8 (5) ◽

pp. 1066-1075 ◽

Cited By ~ 4

Author(s):

Nainaru Tarakaramu ◽

P. V. Satya Narayana

Keyword(s):

Thermal Radiation ◽

Stagnation Point ◽

Joule Heating ◽

Stagnation Point Flow ◽

Nonlinear Thermal Radiation ◽

Stretching Surface ◽

Heating Effects

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Thermal Radiation Effect on Non-Newtonian Fluid Flow over a Stretched Sheet of Non-Uniform Thickness

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.377.242 ◽

2017 ◽

Vol 377 ◽

pp. 242-259 ◽

Cited By ~ 13

Author(s):

Ram Prakash Sharma ◽

K. Avinash ◽

N. Sandeep ◽

Oluwole Daniel Makinde

Keyword(s):

Fluid Flow ◽

Thermal Radiation ◽

Newtonian Fluid ◽

Stretching Surface ◽

Soret And Dufour Effects ◽

Williamson Fluid ◽

Cross Diffusion ◽

Diffusion Parameters ◽

Matlab Package ◽

Thermal Radiation Effect

The influence of thermal radiation on a two-dimensional non-Newtonian fluid flow past a slendering stretching surface is investigated theoretically. Casson and Williamson fluid models are considered with Soret and Dufour effects. The transformed ODEs are solved numerically using the bvp5c Matlab package and dual solutions are executed for Casson and Williamson fluid cases. The influence of various parameters, namely, thermal radiation parameter, cross diffusion parameters and slip parameters on velocity, thermal and concentration distributions are discussed with the assistance of graphs. The local Nusselt and Sherwood numbers are computed and presented through tables. It is observed that the influence of cross diffusion is higher on Williamson flow when equated with the Casson flow.

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

Journal of Engineering Research and Reports ◽

10.9734/jerr/2020/v11i417065 ◽

2020 ◽

pp. 9-18 ◽

Cited By ~ 1

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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