Investigating to chemically reactive and radiative Darcy/non-Darcy stagnation point flow of ternary composite nanofluids with moderate Prandtl numbers

ABSTRACT

In this study, the Darcy or non-Darcy stagnation point flow and thermal analysis of ternary composite nanofluids with modest Prandtl numbers across stretched surfaces that are susceptible to slip or no-slip environments are examined. The concept of non-linear thermal radiation is brought into play. It has been decided to apply non-linear slip. Homogeneous and heterogeneous chemical reactions, or HHCRs, make the flow problem harder to solve. Along with the shooting method, the Runge–Kutta method of the fourth order is an important part of the numerical solution needed for the non-dimensional and non-linear system of partial differential equations. In slip and no slide, both the amplified porosity parameter and the Forchheimer number work to slow down the speed of the fluid. In a medium that may be Darcy or non-Darcy, an increase in the slip parameter causes the fluid velocity and temperature to sputter and stop. When Darcy and non-Darcy media and slip and no-slip conditions are taken into account, surface viscous drag goes down as the strength of the porous matrix goes up, heat transfer rate goes down as the Brinkman number goes up, and mass transfer rate goes up as the homogeneous reaction rate parameter goes up.

KEYWORDS:

• Darcy/non-Darcy flow
• slip/no-slip environments
• stagnation point flow
• ternary composite nanomaterials
• HHCRs
• moderate prandtl numbers

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability statement

No Data associated in the manuscript.

Additional information

Funding

This research received no external funding.

Notes on contributors

S. S. Samantaray

S. S. Samantaray is currently working as a research scholar in the Department of Mathematics, Centurion University of Technology and Management, Paralakhemundi, Gajapati-761211, Odisha, India. His area of research includes Fluid Dynamics and Heat Transfer. He has published 4 research articles to his credit.

A. Misra

Dr. Ashok Misra is presently serving as a Professor in the Department of Mathematics and coordinating the Center for Computational Mathematics, School of Applied Sciences, Centurion University of Technology and Management, Odisha. He has obtained his Ph.D. on “Study on Different Aspects of Two-Phase Flow Phenomena” from Berhampur University, Berhampur, India in the year 2003.His areas of research interest are DustyFluids, Nano Fluids, Magneto- Hydrodynamics, and Computational Fluid Dynamics.

S. Shaw

Sachin Shaw is an associate Professor in the Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana from 2016. He completed his M.Sc and Ph.D from IIT Kharagpur, India. He has post-doctoral experience at University of KwaZulu Natal, South Africa for two years. He has academic experience of more than 10 years. He is actively engaged in research in the field of Fluid Mechanics particularly, in bio-fluid dynamics, magnetic drug targeting, heat and mass transfer in nanofluid and hybrid nanofluids.

J. Prakash

Dr. J. Prakash received his Ph.D. degree in Mathematics from the Anna University, Chennai, India, in 2017. Presently, he is working as an Assistant Professor in the Department of Mathematics, Avvaiyar Government College for Women, Karaikal – 609 602, Puducherry – U.T. His research interests include Mathematical Modelling, Fluid mechanics, Magnetohydrodynamic, Boundary layer flows, heat and mass transfer, nanofluids, Newtonian fluids and non-Newtonian fluid. He published more than 50 scopus research articles and two book chapters.

V. S. Pandey

Dr. V. S. Pandey completed B. Sc. in 1998, M. Sc. in 2000 and Ph. D. in 2006 from IIT BHU, Varanasi. He became the Post-Doctoral Fellow at Physical Research Laboratory Ahmedabad, Department of Space, Govt. of India from June 2007- June 2009. After that he again served as a Post-Doctoral fellow from August 2009-July 2012 at World Class University (WCU) Project-in collaboration with world-leading laboratories, entitled” Space Exploration in Lunar Orbit”at School of Space Research, Kyung Hee University, South Korea and then promoted as a Research Professor from August 2012-July 2013. Currently, he is working with the department of Applied Sciences (Physics), National Institute of Technology Delhi, India as an Associate Professor. His areas of research interest are Waves and Flows in different media and its applications for space and laboratory systems. He had significantly contributed to the research areas of Antenna Designing, RF and Microwave devices, THz-devices, Magneto-hydrodynamics Waves and Flows. He has published more than 80 research papers in various journals and conferences of international repute. Currently he is the referee of various world-class journals.

M. K. Nayak

Dr. Manoj Kumar Nayak is working as Associate Professor in the Department of Mechanical Engineering, Siksha 'O' Anusandhan Deemed to be University, Bhubaneswar, India. My research area includes Fluid Dynamics, Heat Transfer, Energy, Environment. I have published 135 research articles to my credit.