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# Analysis of Convective Transport of Temperature-Dependent Viscosity for Non-Newtonian Erying Powell Fluid: A Numerical Approach

Ahlam Aljabali1, Abdul Rahman Mohd Kasim1,*, Nur Syamilah Arifin2, Sharena Mohamad Isa3, Noor Amalina Nisa Ariffin1

1 Centre for Mathematical Sciences, UMP, Gambang, 26300, Malaysia
2 Faculty of Computer and Math Sciences, UiTM Johor, Pasir Gudang Campus, Masai, 81750, Malaysia
3 Manufacturing Engineering Technology Section, UniKL, Italy Design Institute, Kuala Lumpur, 56100, Malaysia

* Corresponding Author: Abdul Rahman Mohd Kasim. Email:

Computers, Materials & Continua 2021, 66(1), 675-689. https://doi.org/10.32604/cmc.2020.012334

## Abstract

Non-Newtonian is a type of fluid that does not comply with the viscosity under the Law of Newton and is being widely used in industrial applications. These include those related to chemical industries, cosmetics manufacturing, pharmaceutical field, food processing, as well as oil and gas activities. The inability of the conventional equations of Navier–Stokes to accurately depict rheological behavior for certain fluids led to an emergence study for non-Newtonian fluids’ models. In line with this, a mathematical model of forced convective flow on non-Newtonian Eyring Powell fluid under temperature-dependent viscosity (TDV) circumstance is formulated. The fluid model is embedded with the Newtonian heating (NH) boundary condition as a heating circumstance and is assumed to move over a stretching sheet acting vertically. Using appropriate similarity variables, the respective model was converted into ordinary differential equations (ODE), which was later solved utilizing the Keller box approach. The present model is validated by comparing the existing output in literature at certain special limiting cases, where the validation results display a firm agreement. The current outputs for the proposed model are shown in tabular and graphical form for variation of skin friction plus Nusselt number, velocity and temperature distribution, respectively.

## Keywords

APA Style
Aljabali, A., Kasim, A.R.M., Arifin, N.S., Isa, S.M., Ariffin, N.A.N. (2021). Analysis of convective transport of temperature-dependent viscosity for non-newtonian erying powell fluid: A numerical approach. Computers, Materials & Continua, 66(1), 675-689. https://doi.org/10.32604/cmc.2020.012334
Vancouver Style
Aljabali A, Kasim ARM, Arifin NS, Isa SM, Ariffin NAN. Analysis of convective transport of temperature-dependent viscosity for non-newtonian erying powell fluid: A numerical approach. Comput Mater Contin. 2021;66(1):675-689 https://doi.org/10.32604/cmc.2020.012334
IEEE Style
A. Aljabali, A.R.M. Kasim, N.S. Arifin, S.M. Isa, and N.A.N. Ariffin "Analysis of Convective Transport of Temperature-Dependent Viscosity for Non-Newtonian Erying Powell Fluid: A Numerical Approach," Comput. Mater. Contin., vol. 66, no. 1, pp. 675-689. 2021. https://doi.org/10.32604/cmc.2020.012334

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This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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