Impacts of inclined Lorentz forces on hybrid CNTs over an exponentially stretching sheet with slip flow

ABSTRACT

A mathematical model is proposed to analyze the impacts of an inclined magnetic field and velocity slip on a hybrid nanoliquid over an exponentially elongated sheet in the presence of thermal heat flux. In this study, single wall and multiwall carbon nanotubes (SWCNT and MWCNT’s) are considered as nanoparticles with water as a base fluid due to their distinctive nanostructures and excellent thermal conductivity in many industrial and engineering applications. The governing equations are converted into ordinary differential equations by employing appropriate similarity transformations and are then solved by utilizing the bvp4c technique with the help of MATLAB software. The influence of various parameters such as magnetic field ($0\le M\le 2$), velocity slip parameter ($0\le \lambda \le 1.5$), angle of inclination (${30}^o\le \gamma \le {90}^0$), thermal radiation ($0\le R\le 1.5$), Prandtl number ($0.71\le Pr\le 10$), the volume fraction of the nanoparticles ($0.05\le {\varphi }_1,{\varphi }_2\le 0.25$) on fluid velocity and dimensionless temperature are discussed graphically. The fluid momentum and dimensionless temperature are dominant for hybrid nanoliquid against a single wall or multi-wall carbon tubes/water. Also, the heat transfer rate decelerates by increasing the slip parameter and the magnetic parameter.

KEYWORDS:

• SWCNT-MWCNT
• thermal radiation
• slip velocity
• exponential stretching sheet

Nomenclature

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Acknowledgments

We express our sincere thanks to reviewers and editor for their thoughtful comments and constructive suggestions, which help to improve the quality of this manuscript.

Disclosure statement

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

Additional information

Notes on contributors

D. Harish Babu

D. Harish Babu is working as an Assistant Professor at the department of Basic Sciences and Humanities, Sree Vidyanikethan Engineering College, Tirupati, India. He received his PhD in Mathematics from VIT University, India. His research interests include MHD flows, non-Newtonian fluids, nanofluid flows and porous medium. He has published several research papers in SCIE/Scopus/WoS indexed journals. He also serving as a reviewer of Journal of Thermal Sciences and Engineering Applications, Part N: Journal of Nanomaterials, Nanoengineering and Nano-systems.

K. Kumaraswamy Naidu

K. Kumaraswamy Naidu presently working as an Assistant Professor (SL) at the department of Basic Sciences and Humanities, Sree Vidyanikethan Engineering College, Tirupati, India. He received his PhD in Mathematics from S.V. University, India. His major research interests include MHD flows, non-Newtonian fluids, nanofluid flows and porous medium. He has published research papers in peer reviewed indexed journals with good impact factor. He also serving as a reviewer of Part E: Proceedings of Mechanical Engineering, an SCIE indexed journal.

Satya Deo

Satya Deo is presently working as Professor at the Department of Mathematics, University of Allahabad, Prayagraj, India. He secured first position in order of merit in M.Sc. (Mathematics) examination of 1997 from Lucknow University and qualified JRF-CSIR (NET) examination in the same year. He obtained his Ph.D. degree in Mathematics from Lucknow University, Lucknow in the year 2003. His research interests are fluid mechanics, flow through porous media and membrane filtration process. He worked on a young scientist research project, and as project coordinator of Indo-Russian joint project funded by DST, New Delhi, India. He visited Moscow State University of Food Production and Gubkin Russian State University, Moscow, Russia to do collaborative research work in the joint Indo-Russian project in years 2009 and 2017, respectively. He has produced 7 D.Phil. scholars and most of them are presently working as Assistant/Associate professors in reputed institutions. He has published more than 50 research papers in national and international Journals of high repute and delivered invited talks/ presented research papers in 46 scientific conferences. His h-index is 16 and i10-index is 25 as per Google Scholar.

P.V. Satya Narayana

P.V. Satya Narayana is one of the top 2% scientist in the world, according to the Stanford University, USA survey 2020-2021. He has total 22 years teaching experience and presently working as an Associate professor, Vellore Institute of Technology, Vellore. He obtained his PhD from Sri Venkateswara University, Tirupati (Andhra Pradesh) in the area of fluid Dynamics. He had a brilliant career obtaining a first division in all the board and university examinations. He has produced 6 M.Phil and 2 PhD Scholars. His major field of study is MHD flow, heat and mass transfer flow through porous media, nanofluid flows etc. He also published more than 100 papers in national and international Journals of high repute. He is also a reviewer to more than 25 international journals of high repute. According to Google scholar his H index is 20 and I10 index is 50.