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Modeling and Analysis of Magnetized Nanomaterial Williamson Towards a Variable Thicked Surface Subject to Joule Heating and Activation Energy

Journal of Magnetics, Volume 26, Number 2, 30 Jun 2021, Pages 146-155
Wei-Miao Qian (School of Continuing Education, Huzhou Vocational & Technical College), Fazal Haq * (Department of Mathematical Sciences Karakoram International University Main Campus), M. Ijaz Khan (Department of Mathematics, Riphah International University I-14), Sohail A. Khan (Department of Mathematics, Quaid-I-Azam University 45320), Shahid Farooq (Department of Mathematics, Riphah International University I-14)
Abstract
The prime intention of present article is to study the behavior of magnetized Williamson nanofluid. Flow governing
model is obtained considering flow over variable thickness surface with convective heat and mass
boundary constraints. The effects of Joule heating, Brownian diffusion and thermophoresis are further considered.
Moreover, chemical reaction associated with activation energy is accounted. Boundary layer assumptions
are used to obtain the dimensional system of differential equations. The system of PDE's are converted into
ODE’s ones using transformations. Magneto fluids are relatively prevalent in liquid metals, salt water, plasma,
metallurgy, cancer therapy and drug delivery target. The considered investigation has relevance in metallurgical
processes, polymer industry and plastic sheet. The governing model of ODE’s is then tackled via HAM for
convergent series solution. Influence of pertinent variables on velocity, concentration, temperature, total
entropy rate, skin friction coefficient, Bejan number, local heat and mass transfer rates are studied graphically.
Main outcomes are enlisted at the end.
Keywords: variable thickness; activation energy; nonlinear convection; Williamson nanofluid; MHD
DOI: https://doi.org/10.4283/JMAG.2021.26.2.146
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