Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (9): 1613-1628.doi: https://doi.org/10.1007/s10483-023-3029-6

• Articles • Previous Articles    

Convective flow of Jeffrey nanofluid along an upright microchannel with Hall current and Buongiorno model: an irreversibility analysis

L. ANITHA1,2, B. J. GIREESHA1   

  1. 1. Department of PG Studies and Research in Mathematics, Kuvempu University, Shankaraghatta 577451, India;
    2. Department of Mathematics, Adichunchanagiri Institute of Technology, Chikkamagaluru 577102, India
  • Received:2023-04-04 Revised:2023-06-27 Published:2023-08-28
  • Contact: B. J. GIREESHA, E-mail: bjgireesu@gmail.com

Abstract: The thermal properties and irreversibility of the Jeffrey nanofluid through an upright permeable microchannel are analyzed by means of the Buongiorno model. The effects of the Hall current, exponential space coefficient, nonlinear radiation, and convective and slip boundary conditions on the Jeffrey fluid flow are explored by deliberating the buoyant force and viscous dissipation. The non-dimensionalized equations are obtained by employing a non-dimensional system, and are further resolved by utilizing the shooting approach and the 4th- and 5th-order Runge-Kutta-Fehlberg approaches. The obtained upshots conclude that the amplified Hall parameter will enhance the secondary flow profile. The improvement in the temperature parameter directly affects the thermal profile, and hence the thermal field declines. A comparative analysis of the Newtonian fluid and non-Newtonian fluid (Jeffrey fluid) is carried out with the flow across a porous channel. In the Bejan number, thermal field, and entropy generation, the Jeffrey nanofluid is more highly supported than the Newtonian fluid.

Key words: Jeffrey nanofluid, entropy generation, exponential heat source, porous medium, convective and slip boundary

2010 MSC Number: 

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