Blood flow through a stenosed artery under MHD two-phase conditions with Hall effect, radiation and diffusion

Document Type : Research Article

Authors

1 IIS Deemed to be University, Jaipur MANSAROVAR

2 Department of Mathematics IIS Deemed to be University Jaipur Rajasthan

Abstract

This study investigates the combined effects of heat and mass transfer on two-phase blood flow through a stenosed artery, considering the influence of the Hall current. Blood is modeled as a Newtonian fluid in both the central core and plasma regions. A system of differential equations governing momentum, temperature, and concentration is developed separately for each region. The analysis incorporates magnetic field, thermal radiation, and Hall current effects. Key flow characteristics, including flow resistance, total volumetric flow rate, and wall shear stress, are evaluated for varying magnetic field strengths, radiation parameters, and Hall current intensities. The findings indicate that stronger magnetic fields and radiation levels lead to a reduction in blood flow velocity and temperature. The inclusion of the Hall current introduces a cross-flow component due to the induced electric field, further modifying the velocity distribution, particularly in the plasma region. Moreover, an increase in the Schmidt number enhances the concentration profiles in both the core and plasma regions. Overall, the Hall effect significantly alters the magnetic interaction with the flow, impacting the distribution of mechanical and thermal quantities throughout the arterial segment. The results have potential biomedical applications in magnetic resonance imaging (MRI), targeted drug delivery, and electromagnetic therapy, where controlled magnetic and electric fields influence blood flow and heat transfer in vascular systems.

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Journal of Mathematical Modeling
Volume 14, Issue 2
May 2026
Pages 579-594

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