Buongiorno model analysis on Carreau fluid flow in a microchannel with Non-linear thermal radiation impact and irreversibility

ABSTRACT

The main focus of the current work is to explore the thermal energy and mass transfer process in conducting non-Newtonian fluid flows through a horizontal microchannel along with irreversibility analysis and to investigate the upshot of nonlinear radiation, convective boundary conditions, and magnetic field. Slip regime and temperature jump conditions are used at the boundaries of the microchannel. The rheological characteristics of the Carreau fluid model are also considered. The Buongiorno model was used in this study, which emphasizes the light on Brownian motion and thermophoresis phenomena that occur during the fluid flow. Runge-Kutta Fehlberg’s fourth-fifth order was used to solve governing equations numerically. The significant influence of effective parameters on entropy generation, Bejan number, velocity, temperature and concentration profile have been discussed with the aid of graphs. Entropy generation rises by 40% at the left wall of the channel and is depleted by 36% at the right wall when the thermophoresis parameter augments by 200%. Amplified concentration profile with an escalation of Brownian parameter. The temperature field diminishes with inflation of the radiation parameter.

KEYWORDS:

• Brownian motion and thermophoresis
• slip and convective boundary condition
• nonlinear thermal radiation
• entropy generation
• carreau fluid

Acknowledgments

Authors are thankful to Department of Science and Technology, Government of India under DST-FIST Program (Ref No. SR/FST/MS-I/2018-2023) for their support to Department of Mathematics, Kuvempu University, Shankaraghatta.

Disclosure statement

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

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Additional information

Funding

This work was supported by the Department of Science and Technology, Government of India under DST-FIST program [SR/FST/MS-I/2018-2023].

Notes on contributors

L. Anitha

Mrs. L. Anitha obtained her Master of Science in Mathematics from Kuvempu University, Shimoga, Karnataka. She is a research scholar in Mathematics in the area of Micro Fluidics.

B. J. Gireesha

Dr. B. J. Gireesha obtained his Master of Science in Mathematics from Kuvempu University in the year of 1997. He received his prestigious Ph. D degree in Applied Mathematics from Kuvempu University, Shimoga, Karnataka in the year 2003. He has published more than 380 International reputed articles through various Journals and conferences. His research interest is in Fluid Mechanics, Computational Fluid Dynamics, Heat and Mass Transfer, Stretching sheet problems, Heat Transfer through Fins, and Micro Fluidics. He has contributed tremendously in his core area of research. He is awarded the prestigious Raman Fellowship 2015 for his Postdoctoral research for Indian scholars in the USA. He has reviewed several research articles and books for many Journals and Publications.