Magnetohydrodynamic flow of nano Williamson fluid generated by stretching plate with multiple slips

Purpose The purpose of this paper is to present an exploration of multiple slips and temperature dependent thermal conductivity effects on the flow of nano Williamson fluid over a slendering stretching plate in the presence of Joule and viscous heating aspects. The effectiveness of nanoparticles is...

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Bibliographic Details
Published in:Multidiscipline modeling in materials and structures Vol. 15; no. 5; pp. 871 - 894
Main Authors: Raza, Jawad, Mebarek-Oudina, Fateh, Mahanthesh, B
Format: Journal Article
Language:English
Published: Bingley Emerald Publishing Limited 02.09.2019
Emerald Group Publishing Limited
Subjects:
Coefficient of friction
Computational fluid dynamics
Data points
Finite volume method
Fluid flow
Fluids
Friction factor
Heat conductivity
Heat transfer
Investigations
Magnetism
Magnetohydrodynamic flow
Magnetohydrodynamics
Nanoparticles
Ordinary differential equations
Partial differential equations
Reynolds number
Skin friction
Statistical analysis
Stretching
Temperature dependence
Temperature distribution
Thermal conductivity
Thermophoresis
Variable thickness
Velocity
Viscosity
Variable thickness
MHD
Viscous dissipation
Nano Williamson fluid
Joule heating
ISSN:1573-6105, 1573-6113
Online Access:Get full text
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Summary:Purpose The purpose of this paper is to present an exploration of multiple slips and temperature dependent thermal conductivity effects on the flow of nano Williamson fluid over a slendering stretching plate in the presence of Joule and viscous heating aspects. The effectiveness of nanoparticles is deliberated by considering Brownian moment and thermophoresis slip mechanisms. The effects of magnetism and radiative heat are also deployed. Design/methodology/approach The governing partial differential equations are non-dimensionalized and reduced to multi-degree ordinary differential equations via suitable similarity variables. The subsequent non-linear problem treated for numerical results. To measure the amount of increase/decrease in skin friction coefficient, Nusselt number and Sherwood number, the slope of linear regression line through the data points are calculated. Statistical approach is implemented to analyze the heat transfer rate. Findings The results show that temperature distribution across the flow decreases with thermal conductivity parameter. The maximum friction factor is ascertained at stronger magnetic field. Originality/value In the current paper, the magneto-nano Williamson fluid flow inspired by a stretching sheet of variable thickness is examined numerically. The rationale of the present study is to generalize the studies of Mebarek-Oudina and Makinde (2018) and Williamson (1929).
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content type line 14
ISSN:1573-6105
1573-6113
DOI:10.1108/MMMS-11-2018-0183