Double diffusive time-dependent MHD Prandtl nanofluid flow due to linear stretching sheet with convective boundary conditions

ABSTRACT

The focus of this study is to examine cross-diffusion effects on radiative and reactive Prandtl nanofluid due to a convectively heated stretching surface. The present flow problem is considered under the assumption that the external magnetic field is applied to study the nanofluid behavior and thermal radiation considered, for a complete understanding of magnetohydrodynamics of the flow. The governing system of the nonlinear partial differential equations of the flow problem is remodeled with suitable similarity invariants and obtained the system of nonlinear ordinary differential equations. The transformed ODEs with their modified boundary conditions deal with the employment of the Runge-Kutta technique using computation shooting schema with MATLAB software. The consequence of numerous leading parameters on the fluid velocity, temperature, concentration, and engineering quantities profiles are discoursed and presented through graphical illustration. Moreover, the current work is also equated with the available work for limiting cases. It is found that the external magnetic field diminishes the motion of fluid and improvement in heat transfer. Concentration performance improvises on cross diffusion, thermophoresis, and Brownian motion impacts.

KEYWORDS:

• Prandtl nanofluid
• thermal radiation
• chemical reaction
• cross-diffusion effect
• convective boundary conditions

Nomenclature

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Acknowledgments

The authors are thankful to the Editor and anonymous reviewers for their useful comments, which have certainly improved the quality of this paper.

Disclosure statement

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

CRediT authorship contribution statement

All the authors contributed equally to the manuscript to their fullest. The following contributions are listed below for the present manuscript in the completion process, on behalf of all the authors and corresponding author (Dr.Vishwambhar S. Patil), ensuring that the descriptions are accurate and approved by the remaining authors.

Amar B Patil: Software, Visualization, Validation.

Vishwambhar S. Patil: Conceptualization, Formal analysis, Writing-original draft, Supervision.

Pooja P. Humane: Investigation, Methodology, Resources.

M.D. Shamshuddin: Writing-review and editing.

Mehul A. Jadhav: Software.

Additional information

Notes on contributors

Amar B. Patil

Amar B. Patil received his M.Sc. degree in Mathematics from Shivaji University, Kolhapur, India, in 2006 and qualified SET exam in 2018. Currently, he is working as a research scholar in the Department of Mathematics, Shivaji University, Kolhapur. His research interest includes Magnetohydrodynamics, micropolar fluid, nanofluid, and heat and mass transfer of non-Newtonian fluids. He has published more than 5 International articles through various reputed journals as author/co-author.

Vishwambhar S. Patil is working as an Associate Professor and Head in the Department of Mathematics, Government College of Engineering Karad, India. He obtained his prestigious Ph.D. degree in Applied Mathematics from the Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India, in the year 2011. Currently, his area of interest includes Similarity Analysis, Magnetohydrodynamics, Non-Newtonian fluids, nanofluid and hybrid nanofluids, and heat and mass transfer with its applications. He has published more than 19 International articles through various reputed journals as author/co-author.

Vishwambhar S. Patil

Amar B. Patil received his M.Sc. degree in Mathematics from Shivaji University, Kolhapur, India, in 2006 and qualified SET exam in 2018. Currently, he is working as a research scholar in the Department of Mathematics, Shivaji University, Kolhapur. His research interest includes Magnetohydrodynamics, micropolar fluid, nanofluid, and heat and mass transfer of non-Newtonian fluids. He has published more than 5 International articles through various reputed journals as author/co-author.

Vishwambhar S. Patil is working as an Associate Professor and Head in the Department of Mathematics, Government College of Engineering Karad, India. He obtained his prestigious Ph.D. degree in Applied Mathematics from the Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India, in the year 2011. Currently, his area of interest includes Similarity Analysis, Magnetohydrodynamics, Non-Newtonian fluids, nanofluid and hybrid nanofluids, and heat and mass transfer with its applications. He has published more than 19 International articles through various reputed journals as author/co-author.

Pooja P. Humane

Pooja P. Humane received her M.Sc. degree in Mathematics from Shivaji University, Kolhapur, India, in 2013. She is working as a research scholar in the Department of Mathematics, Shivaji University, Kolhapur. Her research interest includes boundary value problems, heat and mass transfer, nanofluids and hybrid nanofluid, similarity techniques, and magnetohydrodynamics.

She has published more than 5 International articles through various reputed journals as author/co-author.

MD. Shamshuddin

MD Shamshuddin has completed his Masters in Mathematics from Osmania University in the year 2002 and also completed his M.Phil. from Sri Venkateswara University in the year 2010. He received his prestigious Ph.D. degree in Applied Mathematics at GITAM Deemed to be University, Andhra Pradesh, in the year 2019. He has published more than 80 International repute articles through various journals and conferences. Currently, his research interest is in fluid mechanics, magnetofluid dynamics, micropolar fluid, nanofluid and hybrid nanofluids, and heat and mass transfer with its applications. He is a seasoned researcher with a strong mentality and sound analytical mind, and he has contributed tremendously in his core areas of research. He has reviewed several research articles for many journals and publishers.

Mehul A. Jadhav

Mehul A. Jadhav received his master’s degree in computer science from the Shivaji University, Kolhapur, India, in 2006 and also completed M.Sc. in Mathematics from YCMOU in 2020. He qualified SET exam for both subjects. He has expertise in MATLAB.