Influence of Peristalsis on the Hemodynamic Analysis of Magnetohydrodynamic Jeffrey Fluid in a Two-Layered Narrow Channel

Authors

• N. Lavanya, Department of Mathematics, SR University, Warangal-506371, India.
• G. Ravi Kiran, Department of Mathematics, SR University, Warangal-506371, India.Follow
• M. Varun Kumar, Department of Mathematics, VIT-AP University, Amaravathi-522237, India.
• K. Rajyalakshmi, Department of Mathematics, SR University, Warangal-506371, India.

Subject Area

Mathematics and Engineering Physics

Article Type

Special Issue Original Study

Abstract

In this paper, an analytical study of MHD-influenced hemodynamic of Jeffrey fluid during peristaltic transport in a two layered narrow channel is presented, a phenomenon that has substantial ramifications for microcirculatory dynamics in the cardiovascular system. The model assumes a Jeffery fluid in the core area to encapsulate microstructural phenomena, including viscosity fluctuations, whereas the periphery area is treated as a Newtonian fluid. The governing equations for both regions are simplified and analytically solved under the long wavelength approximation. Using MATHEMATICA, a numerical investigation is carried out to examine the influence of various parameters, such as the magnetic parameters, amplitude, flow flux, Jeffery fluid parameter, and the average width of the channel, on flow characteristics including core and mean haematocrit, effective viscosity. It is noticed that both the core haematocrit ( )  and the effective viscosity goes down through an increase in the average width of the channel for the Jeffery fluid, whereas they increase with increasing amplitude, magnetic parameter, and Jeffery fluid parameter. Additionally, the mean haematocrit ( ) arise with the mean half width of the channel (tube) , the Jeffery parameter ( ), the Magnetic parameter (M), and the amplitude. Furthermore, the amplitude of the peristaltic wave is found to enhance the mean haematocrit, core haematocrit and effective viscosity. These results show qualitative agreement with the Fahraeus Lindqvist effect observed in microcirculatory blood flow and provide valuable insight into blood flow dynamics in narrow arteries, thereby enhancing the understanding of complex physiological and pathological flow conditions.

Keywords

Jeffery fluid; Peristalsis; Magnetohydrodynamics; Fahraeus–Lindqvist effect; Two-layered channel; Microcirculation.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

Recommended Citation

Lavanya, N.; Kiran, G. Ravi; Kumar, M. Varun; and Rajyalakshmi, K. (2026) "Influence of Peristalsis on the Hemodynamic Analysis of Magnetohydrodynamic Jeffrey Fluid in a Two-Layered Narrow Channel," Mansoura Engineering Journal: Vol. 51 : Iss. 4 , Article 12.
Available at: https://doi.org/10.58491/2735-4202.3437