Chemical Reaction, Heat Source and Slip Effects on
MHD Pulsatory Blood Flowing Past an Inclined
Stenosed Artery Influenced by Body Acceleration

E. Amos; E. Omamoke; Chinedu Nwaigwe

doi:https://doi.org/10.14445/22315373/IJMTT-V68I1P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 1 | Year 2022 | Article Id. IJMTT-V68I1P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I1P501

Chemical Reaction, Heat Source and Slip Effects on MHD Pulsatory Blood Flowing Past an Inclined Stenosed Artery Influenced by Body Acceleration

E. Amos, E. Omamoke, Chinedu Nwaigwe

Abstract

This study analyses the effects of chemical reaction, slip effect and heat source on the MHD flow of blood through an inclined permeable artery with stenosis under body acceleration present. The blood is treated as a non-Newtonian electrically conduction fluid with accumulated substances of fatty substance in the blood cells creating porosity at the artery walls. The mathematical model for the blood flow is developed with inclusion of buoyancy force for both energy and diffusion with variations in heat and mass transfer having an effect on the blood flow. The partial differential equation of the governing model is transformed to ordinary differential equation using the boundary conditions. Variations in parameters all had effects on the blood flow, temperature and diffusion. Results showed that chemical reaction, magnetic field and slip reduces the blood flow while the body acceleration, heat source and pressure gradient increases the blood flow.

Keywords

Magneto hydro dynamic (MHD), Slip Boundary, Chemical Reaction, Heat Source, Body Acceleration, Inclined porous artery

References

[1] Blessy, T. & Sumam, K. S. (2016). Blood Flow in Human Arterial System-A Review. Procedia Technology, Volume 24, Pages 339-346, ISSN 2212-0173, https://doi.org/10.1016/j.protcy.2016.05.045.
[2] Ku, D. N. (2021). Blood Flow in arteries. Annual Reviews of Fluid Mechanics, Volume 21, Issue 1, 0066-4189, doi: 10.1146/annurev.fluid.29.1.399.
[3] Allen, G. S., Murray, K. D. & Olsen, D. B. (1997). The importance of pulsatile and nonpulsatile flow in the design of blood pumps. Artif. Organs. Aug 21(8):922-8, doi: 10.1111/j.1525-1594.1997.tb00252.x. PMID: 9247182.
[4] Pellerito, J. S. (2020). The Hemodynamics of Vascular Disease. In Introduction to Vascular Ultrasonography, 2020.
[5] Sanka, D. S. (2010). Pulsatile Flow of Two-Fluid Model of Blood Flow through Arteria Stenosis. Mathematical Problem in Engineering, Volume 2010, Page 26, dio:10.1155/2010/465835
[6] Nehad, A. S., Al-Zubaidi, A. & Saleem, S. (2021). Study of Magneto Hydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time Non-Local Shear Stress. Advances in Mathematical Physics, Volume 2021, Page 11, https://doi.org/10.1155/2021/5546701
[7] Lukendra, K., Druba, P. B., Nazibuddin, A. & Karabi, D. C. (2017). MHD Pulsatile Slip Flow of Blood through Porous Medium in an Inclined Stenosed Tapered Artery in Presence of Body Acceleration. Advances in Theoretical and Applied Mathematics ISSN 0973-4554 Volume 12, Number 1 (2017), pp. 15-38
[8] Eldesoky, M. I. (2012). Slip Effects on the Unsteady MHD Pulsatile Blood Flow through Porous Medium in an Artery under the Effect of Body Acceleration. International Journal of Mathematics and Mathematical Sciences, Volume 2012, 26 pages doi:10.1155/2012/860239
[9] Das, K. & Saha, G. C. (2009). Arterial MHD Pulsatile Flow of Blood under Periodic Body Acceleration. Bull. Soc. Math. Banja Luka, ISSN 0354-5792, Vol. 16 (2009), 21-42.
[10] Varun, K. T., Varshney, N. K. & Agarwal, R. (2016). Effect of body acceleration on pulsatile blood flow through a catheterized artery. Advances in Applied Science Research, 7(2):155-166, http://www.pelagiaresearchlibrary.com/.
[11] Prakash, O., Singh, S. P., Kumar, D. & Dwivedi, Y. K. (2011). A study of effects of heat source on MHD blood flow through bifurcated arteries. AIP Advances, Volume 1, Issue 4, 10.1063/1.365861
[12] Kumar, B., Satyanarayana, B., Kumar, R., Kumar, S. & Deo, N. (2021). Application of heat source and chemical reaction in MHD blood flow through permeable bifurcated arteries with inclined magnetic field in tumor treatments. Results in Applied Mathematics, 10, 100151.
[13] Omamoke, E. & Amos, E. (2020). The Impact of Chemical Reaction and Heat source on MHD Free Convection Flow over an Inclined Porous Surface. International Journal of Scientific and Research Publications, Volume 10, Issue 5, ISSN 2250-3153, DOI: 10.29322/IJSRP.10.05.2020.p10103
[14] Omamoke, E., Amos, E., & Jatari, E. (2020). Impact of Thermal Radiation and Heat Source on MHD Blood Flow with an Inclined Magnetic Field in Treating Tumor and Low Blood Pressure. Asian Research Journal of Mathematics, 16(9), 77-87. https://doi.org/10.9734/arjom/2020/v16i930221.
[15] Omamoke, E. & Amos, E. (2020). Chemical Reaction, Radiation and Heat Source Effects on Unsteady MHD Blood Flow Over a Horizontal Porous Surface in the Presence of an Inclined Magnetic Field. International Journal of Scientific & Engineering Research, Volume 11, Issue 4, April-2020 ISSN 2229-5518.
[16] Sinha, A., Shit, G. C. & Kundu, P. K. (2013). Slip Effect on Pulsatile Flow of Blood through a Stenosed Arterial Segment under Periodic Body Acceleration. ISRN Biomedical Engineering, doi.org/10.1155/2013/925876.
[17] Nandal, J. & Kumari, S. (2019). The effect of slip velocity on unsteady peristalsis MHD blood flow through a constricted artery experiencing body acceleration. International Journal of Applied Mechanics and Engineering, Volume 24, No. 3, pp. 645-659.
[18] Sharma, M., Gaur, R. K. & Biswas, P. (2018). Effect of slip parameter on MHD blood flow and heat transfer through a porous medium with variable viscosity. International Journal of engineering sciences and research, 7(4), DOI:10.5281/zenodo.1228826, ISSN: 2277-9655.
[19] Kumar, A., Chandel, R. S., Shrivastava, R., Shrivastava, K. & Kumar, S. (2016). Mathematical Modelling of blood flow in an inclined tapered artery under MHD effect through porous medium. International Journal of Pure and Applied Mathematical Science, 9(1), 75 – 88, ISSN 0972 – 9828.
[20] Sinha, A., Shit, G. C. & Kundu, P. K. (2013). Slip Effect on Pulsatile Flow of Blood through a Stenosed Arterial Segment under Periodic Body Acceleration. ISRN Biomedical Engineering, doi.org/10.1155/2013/925876.
[21] Amos, E. & Ogulu, A. (2003). Magnetic Effect on Pulsatile Flow in a Constricted Axis-symmetric Tube. Indian Journal Pure and Applied Mathematics, 34 (9): 1315-1326, September.
[22] Nandal, J. & Kumari, S. (2019 Nadeem, S., Noreen, S. A., Hayat, T. & Awatif, A. H. (2012). Influence of Heat and Mass Transfer on Newtonian Bio magnetic Fluid of Blood Flow through a Tapered Porous Artery with Stenosis. Transport in Porous Medium, 91(1):81-100.
[23] Bunonyo, W. K. and Amos, E. 2020. Lipid concentration effect on blood flow through an inclined arterial channel with magnetic field. Mathematical modelling and Applications, 5(3), 129 – 137.

Citation :

E. Amos, E. Omamoke, Chinedu Nwaigwe, "Chemical Reaction, Heat Source and Slip Effects on MHD Pulsatory Blood Flowing Past an Inclined Stenosed Artery Influenced by Body Acceleration," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 1, pp. 1-23, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I1P501