The bioconvective flow of an Eyring-Powell nanoliquid: the influence of entropy

ABSTRACT

The focus of the study in this article is the bioconvection in a nonlinear mixed convective flow of an Eyring–Powell nanoliquid over a vertical slender cylinder with entropy generation. The two-phase Buongiorno’s model is used to investigate the Brownian motion and thermophoresis mechanisms of nanoparticles. The Boussinesq approximation for the body force term in the equations, which govern the convection flow leads to nonlinear coupled partial differential equations (PDEs). Nonsimilar transformations are considered to handle the equations in the non-dimensional form. Further, the technique of Quasilinearization and the implicit finite difference method are utilized for numerical simulation of the mathematical solution of the problem. The heat transfer rate diminishes by about 75% when the Eckert number rises from −0.5 to 0.5. The microorganism density number is enhanced by about 19% as the bioconvection Lewis number increases from 1 to 2. The skin friction coefficient is higher for the Newtonian fluid as compared to the non-Newtonian Eyring–Powell fluid and it is decreased about 8% when fluid parameter varies from 0 to 0.1. The entropy generation intensifies for higher nanoparticles diffusion and microorganism’s density parameters. An excellent agreement is noticed when the current solutions are compared with the outcomes reported in the existing results.

KEYWORDS:

• Nonlinear convection
• Eyring–Powell nanofluid
• Finite difference scheme
• Entropy generation
• Quasilinearization

Disclosure statement

The authors affirm that they have no known financial or interpersonal conflicts that would have appeared to have an impact on the research presented in this study.

Data availability statement

Data will be made available on a reasonable request.

Additional information

Notes on contributors

P. M. Patil

Prof. P. M. Patil obtained his Master of Science (1984) and Doctor of Philosophy (1996) degrees from Karnatak University, Dharwad, India. Prof. Patil worked as a professor in the P. G. Department of Mathematics, Karnatak University, Dharwad-580 003, till 30th June 2022. Currently, Prof. Patil is working as research head in the department of mathematics, KLE’sTechnological University, Hubballi – 580031. Prof. Patil was awarded the prestigious Commonwealth Academic Fellowship (2011-2012) tenable at the Department of Mechanical Engineering, University of Bath, United Kingdom. Prof. Patil’s research is interdisciplinary and covers various aspects of convective heat and mass transfer and computational fluid dynamics.His work includes nonsimilar solutions of mixed convection flows of Newtonian and non- Newtonian fluids over multiple geometries, such as vertical cone, slender vertical cylinder and stretching surface, and flat surface. Prof. Patil has received Best Research Publication Award with a citation from the Vision Group on Science and Technology, Government of Karnataka. In addition, Prof. Patil was elected as a Fellow of the National Academy of Sciences India (FNASc), Prayagraj (Allahabad), in 2019 for his outstanding contributions to mathematical sciences. Further, Prof. Patil was also awarded the Fellowship of Karnataka Science and Technology Academy (KSTA) in 2021. Furthermore, Prof. Patil was appointed to State Level Committee to implement NEP (National Education Policy) – 2020 by the Govt. of Karnataka for Physical and Mathematical Sciences.

Sunil Benawadi

Sunil Benawadi obtained his master of science (2016), and doctor of philosophy (2022) degrees from Karnatak University, Dharwad, India. At present, Dr. Sunil Benawadi works as assistant professor in the Department of Mathematics, KLE’s Technological University, Hubballi - 580 031. Research conducted by Dr. Sunil Benawadi spans a variety of topics related to computational fluid dynamics and convective heat and mass transfer. His work involves non-similar solutions of mixed convection flows of Newtonian and non-Newtonian fluids over a range of geometries, including flat surface, vertical cone, vertical thin cylinder, and stretching surface. Further, his research papers are published in various reputed international journals.