Mixed convective flow of Casson nanofluid in the microchannel with the effect of couple stresses: irreversibility analysis

ABSTRACT

The current cutting-edge modelling involves mixed convection and couple stress influences on the velocity and thermal distribution of the flow of Casson nanomaterial in possession of microchannel. This study elucidates the mass and heat transport of Casson nanomaterial in the upright microchannel in the existence with non-linear thermal radiation, Brownian motion and thermophoresis. Along with the flow, the particle size effects are also taken into consideration. The channel walls facilitate the sucking/injecting the fluid into the microchannel. Viscous dissipation and buoyant forces are deliberated in the study. Slip regime and convective conditions are taken at the boundaries. By making use of velocity and thermal profile, the entropy produced and dominance of heat or fluid friction irreversibilities are analyzed. The obtained equations are non-dimensionalized using non-dimensional entities and further solved using Runge-Kutta Fehlberg 4–5th order procedure together with shooting technique. Illustrations of the graph exemplify the outcomes of the work. The impact of couple stress parameter depicts the depletion of velocity profile as the couple stress takes into consideration the size effect of the particle, which enhances viscosity and hence declines velocity of the flow. The irreversibility in the channel can be achieved to be least when the thermal and solutal Grashof number is kept low.

KEYWORDS:

• Casson nanomaterial
• couple stress
• mixed convection
• Brownian motion
• thermophoresis
• slip regime

Nomenclature

Table

Authors contribution

All the authors made substantial contributions to the conception or design of the work; or the acquisition, analysis, or interpretation of data; or the creation of new software used in the work;

Disclosure statement

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

Additional information

Funding

This work was supported by the Science and Engineering Research Board [SR/FST/MS-I/2018-2023].

Notes on contributors

A. Felicita

Dr. Felicita Almeida obtained the Ph.D degree from Kuvempu University and is a potential researcher in the field of fluid mechanics. The author has a strong hold on numerical computation and technicality of the paper.

B. J. Gireesha

Dr. B. J. Gireesha is an eminent researcher who has obtained Doctoral degree from Kuvempu University in the year 2003. The author has competed post-doctoral research in Cleveland State University, Ohio and has attained prestigious Raman fellowship-2015 for post-doctoral research for Indian scholars in USA. He is a researcher of high rank and has reviewed numerous research articles for various National and International journals. He has published more than 280 research articles and possesses an ability to reason analytically and rationally with a sound judgement.

B. Nagaraja

Dr. B Nagaraja has received his doctoral degree from Kuvempu University. His research interest is fluid mechanics in particular study of fluid flow over a curved surface. The author has concentrated on producing the qualitative research articles with his logical skills.

P. Venkatesh

Dr. P Venkatesh has received Ph.D degree from Kuvempu University and is a researcher with the great interest in fluid mechanics. The author has published extensive research articles in the flow of dusty fluid. The author with his analytical thinking and logical reasoning is a well-versed researcher.

M.R. Krishnamurthy

Dr. M R Krishnamurthy is a sound researcher who has received Ph.D degree from Kuvempu University. His area of interest is fluid mechanics and has carried out study on fluid flow, heat and mass transfer over a stretched surface. The author has a systematic approach in assessing conclusions with his objective thinking.