Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (1): 95-108.doi: https://doi.org/10.1007/s10483-021-2681-9

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Irreversibility investigation of Casson fluid flow in an inclined channel subject to a Darcy-Forchheimer porous medium: a numerical study

A. ROJA, B. J. GIREESHA, B. NAGARAJA   

  1. Department of PG Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shimoga 577451, Karnataka, India
  • 收稿日期:2020-03-30 修回日期:2020-08-21 发布日期:2020-12-19
  • 通讯作者: B. J. GIREESHA E-mail:bjgireesu@rediffmail.com

Irreversibility investigation of Casson fluid flow in an inclined channel subject to a Darcy-Forchheimer porous medium: a numerical study

A. ROJA, B. J. GIREESHA, B. NAGARAJA   

  1. Department of PG Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shimoga 577451, Karnataka, India
  • Received:2020-03-30 Revised:2020-08-21 Published:2020-12-19
  • Contact: B. J. GIREESHA E-mail:bjgireesu@rediffmail.com

摘要: The heat transfer and entropy generation characteristics of the magnetohydrodynamic Casson fluid flow through an inclined microchannel with convective boundary conditions are analyzed. Further, the effects of the viscous forces, Joule heating, heat source/sink, and radiation on the flow are taken into account. The non-dimensional transformations are used to solve the governing equations. Then, the reduced system is resolved by the fourth-fifth order Runge-Kutta-Fehlberg method along with the shooting technique. The effects of different physical parameters on the heat transfer and entropy generation are discussed in detail through graphs. From the perspective of numerical results, it is recognized that the production of entropy can be improved with the Joule heating, viscous dissipation, and convective heating aspects. It is concluded that the production of entropy is the maximum with increases in the Casson parameter, the angle of inclination, and the Hartmann number. Both the Reynolds number and the radiation parameter cause the dual impact on entropy generation.

关键词: inclined channel, Casson fluid, magnetism, radiation, entropy generation, Bejan number

Abstract: The heat transfer and entropy generation characteristics of the magnetohydrodynamic Casson fluid flow through an inclined microchannel with convective boundary conditions are analyzed. Further, the effects of the viscous forces, Joule heating, heat source/sink, and radiation on the flow are taken into account. The non-dimensional transformations are used to solve the governing equations. Then, the reduced system is resolved by the fourth-fifth order Runge-Kutta-Fehlberg method along with the shooting technique. The effects of different physical parameters on the heat transfer and entropy generation are discussed in detail through graphs. From the perspective of numerical results, it is recognized that the production of entropy can be improved with the Joule heating, viscous dissipation, and convective heating aspects. It is concluded that the production of entropy is the maximum with increases in the Casson parameter, the angle of inclination, and the Hartmann number. Both the Reynolds number and the radiation parameter cause the dual impact on entropy generation.

Key words: inclined channel, Casson fluid, magnetism, radiation, entropy generation, Bejan number

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