Evaluating the characteristics of magnetic dipole for shear-thinning Williamson nanofluid with thermal radiation

•Nonlinear flow of Williamson nanofluid under magnetic dipole aspect is modeled.•Thermal radiation along with heat source is considered.•Thermo-solutal Robin conditions are introduced.•Numeric (bvp4c) scheme is implemented to compute the nonlinear systems. Abstract Objective A recent evolution in fl...

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Published in:Computer methods and programs in biomedicine 2020-07, Vol.191, p.105396-105396, Article 105396
Main Authors: Khan, W.A., Waqas, M., Chammam, Wathek, Asghar, Z., Nisar, U.A., Abbas, S.Z.
Format: Article
Language:English
Subjects:
Algorithms
Entropy
Heat source
Hydrodynamics
Magnetic dipole
Magnetic Phenomena
Models, Statistical
Nanotechnology
Shear-thinning Williamson nanofluid
Thermal Conductivity
Thermal radiation
Thermo-solutal convective conditions
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Summary:•Nonlinear flow of Williamson nanofluid under magnetic dipole aspect is modeled.•Thermal radiation along with heat source is considered.•Thermo-solutal Robin conditions are introduced.•Numeric (bvp4c) scheme is implemented to compute the nonlinear systems. Abstract Objective A recent evolution in fluid dynamics has been the consideration of nanoliquids which retains exceptional thermal conductivity characteristics and upsurge heat transportation in fluids. Inspired by this, the current attempt develops a nonlinear mathematical model (Williamson fluid) towards moving surface heated convectively. Formulated problem further encompasses thermophoresis, magnetic dipole, heat source, Brownian diffusion, thermal radiation and thermo-solutal convective conditions. Upshots are simulated and unveiled graphically. Drag force along with heat/mass transportation rates is addressed numerically. Method The dimensionless expressions are highly non-linear and exact/analytic computations for such expressions are not possible. Thus we employed numeric (bvp4c) scheme for solution development. Conclusions Temperature of Williamson nanofluid intesifies through larger Nb (Brownian movement) factor and Nt (thermophoretic variable). Moreover, Buongiorno relation has reverse behavior for concentration ϕ(η) of Williamson nanofluid regarding Nt and Nt. Transportation rate of heat dwindles against both Nt and Nb.
ISSN:0169-2607
1872-7565
DOI:10.1016/j.cmpb.2020.105396