Impact of Hall and Ion Slip Conditions in Two Layered Peristaltic Flow of Casson-Micropolar and Newtonian Liquid in an Inclined Channel

Document Type : Full Length Research Article

Authors

Department of Mathematics, VIT-AP University, Inavolu, Amaravath, 522237, India

Abstract

The study explores the impact of Hall and ion slip and velocity slip on the heat and mass transfer characteristics of MHD two-layered peristaltic motion of Casson-micropolar and Newtonian liquid in an inclined channel embedded in a porous space.  The governing flow equations have been linearised under the assumptions of long-wavelength approximation and low Reynolds number.  Closed-form expressions for pressure rise, wall frictional force, and mechanical efficiency over a complete wavelength cycle are derived. Results are presented graphically to analyse the impact of key parameters, such as the Hartmann number, porous parameter, Froude number, velocity slip, and inclination parameter, on velocity, temperature, concentration, mechanical efficiency, entropy generation, along with Nusselt number and Sherwood number.   Our findings reveal that as inclination, microrotation, and Casson parameters grow, there is a corresponding rise in liquid velocity.  The liquid temperature falls with the rise of the Froude number and Casson parameter.   Furthermore, when the chemical reaction parameter and Schmidt number grow, the concentration distribution reduces.  It is also observed that when the micropolar fluid and inclination parameters rise, both the pressure gradient and pressure rise increases.  Mechanical efficiency improves with the rise of the microrotation parameter, and entropy generation escalates with the rise in the inclination parameter.  A comparative analysis has been performed to confirm the validity of the obtained results.   These studies can be applied to physiological systems; specifically, esophageal peristalsis is governed by central and peripheral neural mechanisms, which involve extrinsic sympathetic or parasympathetic nerves and the myenteric plexus, respectively. Additionally, such investigations are relevant to biomedical engineering applications, including thermal therapy procedures. 

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Main Subjects

References

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Journal of Heat and Mass Transfer Research
Volume 12, Issue 2 - Serial Number 24
In Progress
November 2025
Pages 345-376

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History

  • Receive Date: 09 March 2025
  • Revise Date: 18 April 2025
  • Accept Date: 23 May 2025

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