Impact of nonlinear radiative nanoparticles on an unsteady flow of a Williamson fluid toward a permeable convectively heated shrinking sheet

Purpose The study aims to numerically examine the impact of nanoparticles on an unsteady flow of a Williamson fluid past a permeable convectively heated shrinking sheet. Design/methodology/approach In sort of the solution of the governing differential equations, suitable transformation variables are...

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Bibliographic Details
Published in:World journal of engineering 2018-12, Vol.15 (6), p.731-742
Main Authors: Zaib, Aurang, Haq, Rizwan Ul, Chamkha, A.J, Rashidi, M.M
Format: Article
Language:English
Subjects:
Chemical reactions
Composite materials
Deceleration
Differential equations
Electronics
Fluids
Friction
Heat conductivity
Heat transfer
Investigations
Nanoparticles
Parameters
Permeability
Reynolds number
Shear stress
Solar energy
Suction
Temperature distribution
Unsteady flow
Velocity distribution
Viscosity
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Summary:Purpose The study aims to numerically examine the impact of nanoparticles on an unsteady flow of a Williamson fluid past a permeable convectively heated shrinking sheet. Design/methodology/approach In sort of the solution of the governing differential equations, suitable transformation variables are used to get the system of ODEs. The converted equations are then numerically solved via the shooting technique. Findings The impacts of such parameters on the velocity profile, temperature distribution and the concentration of nanoparticles are examined through graphs and tables. The results point out that multiple solutions are achieved for certain values of the suction parameter and for decelerating flow, while for accelerating flow, the solution is unique. Further, the non-Newtonian parameter reduces the fluid velocity and boosts the temperature distribution and concentration of nanoparticles in the first solution, while the reverse drift is noticed in the second solution. Practical implications The current results may be used in many applications such as biomedicine, industrial, electronics and solar energy. Originality/value The authors think that the current results are new and significant, which are used in many applications such as biomedicine, industrial, electronics and solar energy. The results have not been considered elsewhere.
ISSN:1708-5284
2515-8082
DOI:10.1108/WJE-02-2018-0050