Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel with Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension

Omamoke Ekakitie; Emeka Amos

doi:10.33401/fujma.1867873

Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel with Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension

Abstract

This study investigates Magneto-hydrodynamic $(MHD)$ blood slip flow past a porous blood vessel, inclined and influenced by a pressure gradient, a magnetic field, heat transfer, and chemical reaction effects. The blood considered is a non-Newtonian, electrically conducting fluid with a slip boundary condition, accounting for the interaction between the porous wall and the fluid flowing through an inclined, tiny porous vessel under an applied magnetic field in the perpendicular direction. The governing equations were formulated using magneto-hydrodynamic principles and fluid transport phenomena with porosity, with the Hartmann number effect embedded. The governing equations in dimensional form are converted to dimensionless form, and analytical solutions are applied using the George Frobenius power series to obtain the solution for the velocity, temperature, and concentration profiles. Results showed the effect of chemical reaction, magnetic field, heat source, and various parameters on the blood flow through the porous, tiny blood vessels. The increase in chemical reaction $(Kn)$ increased mass diffusion and improved blood flow, while an increase in the heat source $Q_{T}$ increased the temperature and the flow of blood. An increase in suction/injection $(A)$ and porosity $(k)$ decreased the blood flow, while an increase in Schmidt $(Sc)$ number increased the mass diffusion. An increase in the Hartmann number $(Hn)$ increased the overall blood flow, and an increase in the inclination of the porous artery improved blood flow direction, which serves as a therapeutic approach for the treatment of hypotension in patients.

Keywords

Ethical Statement

There is no conflict of interest among authors.

References

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Details

Primary Language

English

Subjects

Biological Mathematics

Journal Section

Research Article

Authors

Omamoke Ekakitie ^*
0000-0002-8335-9697
Nigeria

Emeka Amos
0000-0001-7273-4722
Nigeria

Publication Date

June 30, 2026

Submission Date

January 27, 2026

Acceptance Date

June 1, 2026

Published in Issue

Year 2026 Volume: 9 Number: 2

DOI

https://doi.org/10.33401/fujma.1867873

IZ

https://izlik.org/JA97ML66DG

Cite

RIS / Bibtex

APA

Ekakitie, O., & Amos, E. (2026). Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel with Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension. Fundamental Journal of Mathematics and Applications, 9(2), 79-91. https://doi.org/10.33401/fujma.1867873

AMA

1.Ekakitie O, Amos E. Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel with Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension. Fundam. J. Math. Appl. 2026;9(2):79-91. doi:10.33401/fujma.1867873

Chicago

Ekakitie, Omamoke, and Emeka Amos. 2026. “Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel With Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension”. Fundamental Journal of Mathematics and Applications 9 (2): 79-91. https://doi.org/10.33401/fujma.1867873.

EndNote

Ekakitie O, Amos E (June 1, 2026) Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel with Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension. Fundamental Journal of Mathematics and Applications 9 2 79–91.

IEEE

[1]O. Ekakitie and E. Amos, “Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel with Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension”, Fundam. J. Math. Appl., vol. 9, no. 2, pp. 79–91, June 2026, doi: 10.33401/fujma.1867873.

ISNAD

Ekakitie, Omamoke - Amos, Emeka. “Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel With Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension”. Fundamental Journal of Mathematics and Applications 9/2 (June 1, 2026): 79-91. https://doi.org/10.33401/fujma.1867873.

JAMA

1.Ekakitie O, Amos E. Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel with Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension. Fundam. J. Math. Appl. 2026;9:79–91.

MLA

Ekakitie, Omamoke, and Emeka Amos. “Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel With Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension”. Fundamental Journal of Mathematics and Applications, vol. 9, no. 2, June 2026, pp. 79-91, doi:10.33401/fujma.1867873.

Vancouver

1.Omamoke Ekakitie, Emeka Amos. Magneto-Hydrodynamic (MHD) Slip Blood Flow Past an Inclined Porous Vessel with Pressure Gradient, Heat and Chemical Reaction Effect: Mathematical Modeling and Treatment for Hypotension. Fundam. J. Math. Appl. 2026 Jun. 1;9(2):79-91. doi:10.33401/fujma.1867873