Prescribed thermal effects on the dynamics of radiative and chemically reactive hyperbolic tangent nanofluid

ABSTRACT

The dynamics of hyperbolic tangent nanofluid, coupled with thermal radiation and chemical reactions, find extensive applications in various fields, including drying processes, oil emulsions, ceramics, prevention of crop damage from freezing, and dehydration processes. Therefore, the primary objective of the present contribution is to scrutinize the dynamic behavior of hyperbolic tangent nanofluid with consideration for both chemical reactions and thermal radiation effects subject to a prescribed thermal system. To model the nanofluid’s behavior, we have employed Buongiorno’s nanofluid model, which incorporates random motion and thermo-diffusion of nanostructured particles. The thermal performance of the hyperbolic tangent nanofluid is analyzed under two boundary conditions: prescribed surface temperature (PST) and prescribed heat flux (PHF). To facilitate the analysis, we have transformed the transport PDEs in Cartesian configuration into ODEs. Subsequently, we have employed the highly efficient HAM (homotopy analysis method) to solve the obtained system. The study explores the influence of various flowing constraints on key configurations such as temperature formation, velocity formation, concentration formation, local drag formation, Nusselt number, and Sherwood number. Notably, the Nusselt number diminishes with the inclusion of thermo $\left(0.2\le N_t\le 1.1\right)$ and Brownian $\left(0.3\le N_b\le 1.1\right)$ diffusions of nanoparticles, while it increases with an escalation in the thermal radiation $\left(0.0\le R_d\le 2.5\right)$ parameter.

KEYWORDS:

• Hyperbolic tangent nanofluid
• thermal radiation
• chemical reaction
• HAM
• prescribed thermal system

Acknowledgments

The author Muhammad Bilal Riaz is highly thankful to Ministry of Education, Youth and Sports of the Czech Republic for their support through the e-INFRA CZ (ID: 90254).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Muhammad Faisal

Muhammad Faisal is working as an Assistant Professor of Mathematics, in the Department of Mathematics, Faculty of Science, The University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan. He received his PhD, MPhil and MSc degrees from Department of Mathematics UAJK in 2021, 2013, and 2010, respectively. To his credit, he has published forty plus articles in well reputed international peer-review journal. Specialization: Applied Mathematics (Fluid Mechanics and Numerical Simulation) Field of Interest: Computational Fluid Dynamics, Engineering Mathematics and Physics, Heat and Mass Transfer, Modelling and Simulation, Error Analysis, Dynamics of Nanoparticles, Analytical and Numerical Solutions of Differential Equations, Cavity Flows, etc. For more details, click on the following link https://researchid.co/muhammadfaisal

Muhammad Bilal Riaz

Muhammad Bilal Riaz is currently working as senior researcher at VSB technical university of Ostrava Czech Republic. He did his PhD from Pakistan in applied science. He has over 200 publications in highly reputed journals. His research interests are Computational Mathematics, Mathematics Physics, fluid dynamics, differential equations, dynamical systems, chaos theory, fractional calculus and its applications in sciences.

Iftikhar Ahmad

Iftikhar Ahmad is a Professor of Mathematics, in the Department of Mathematics, Faculty of Science, The University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan. He received his PhD degree from QAU, Pakistan. To his credit, he has published one-hundred plus articles in well reputed international peer-review journal. His specialization is in the field of fluid mechanics.

Syed Basit Ali Kazmi

Syed Basit Ali Kazmi is a MPhil scholar of Mathematics, in the Department of Mathematics, Faculty of Science, The University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan. He is working in the field of fluid mechanics under the mentorship of Dr. Muhammad Faisal.