https://doi.org/10.1140/epjp/s13360-024-05242-8
Regular Article
Variable viscosity effects on dynamic of non-Newtonian fluid nanofluid over a paraboloid of revolution via Keller box method
1
Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
2
Department of Mathematics, Government College University Faisalabad, Layyah Campus, Faisalabad, Pakistan
3
School of Aerospace and Mechanical Engineering, Nanyang Technological University, Singapore, Singapore
4
School of Mathematics, Northwest University, No. 229 North Taibai Avenue, 710049, Xi’an, China
5
Mechanical Engineering Department, College of Engineering, University of Babylon, 00964, Hilla, Iraq
6
School of Mechanical Engineering and Automation, Harbin Institute of Technology, 518055, Shenzhen, China
f bagh@hit.edu.cn, baghalisewag@gmail.com
Received:
24
September
2022
Accepted:
6
May
2024
Published online:
20
May
2024
The variable viscosity effects on MHD flow of Boger nanofluid due to paraboloid of revolution with chemical reactive species is investigated. It is assumed that the base fluid has a uniform suspension of nanoparticles, and Reynolds exponential viscosity model has been employed. Intensification in thermal transport of base fluids has drawn our attention to increasing thermal conductivity. Similarity transformation is active to reach the partial differential equations into ordinary differential form but boundary layer approximation is utilized for the governing equations. For numerical suction, we considered Keller box method as tool for numerical simulation to obtain the flow field of velocity, heat and volume friction profile. The leading factors of model are varied in their appropriate limits, to visualize their part as graphically. It has been observed that Boger fluid becomes extremely flexible at constant values of viscosity due to which the velocity profile 
is directly increased with large values of the solvent fraction parameter 
while ratio of relaxation time parameter 
indicates the tendency to be decreased the velocity profile. It is observed that the fluid velocity for variable viscosity is slower but it is higher at constant values of 
, and an opposite trend is reported in temperature profile. The skin friction 
is boosted but opposite trend is observed in local Nusselt 
and local Sherwood numbers 
with the increasing values of magnetic parameter.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
