American Journal of Theoretical and Applied Statistics
Volume 9, Issue 3, May 2020, Pages: 74-79
Received: Apr. 19, 2020;
Accepted: May 7, 2020;
Published: May 27, 2020
Views 202 Downloads 81
Kubugha Wilcox Bunonyo, Department of Mathematics & Statistic, Federal University Otuoke, Yenagoa, Nigeria
Emeka Amos, Department of Mathematics, Rivers State University, Port Harcourt, Nigeria
This research was carried out to investigate the impact of treatment parameter on blood flow in an atherosclerotic artery by formulating a momentum equation governing the flow in dimensional form which was scaled to dimensionless form using some important scaling parameters. The equation was solved analytical and obtained velocity profile, thereafter the volumetric flow rate, shear stress were calculated analytically and some pertinent physical parameters were obtained, finally Mathematica codes were developed to simulation the analytical results by varying the pertinent parameters to investigate the influence of the physical parameters on the blood flow profile, volumetric flow rate and the shear stress. In conclusion, it is seen that some of the pertinent parameters RT, Re, Da, M, ω, δ caused the flow to improve while the others did not, taken t=5 seconds. This research is very helpful in providing an insight of the treatment excessive intake of fatty substance.
Kubugha Wilcox Bunonyo,
Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery, American Journal of Theoretical and Applied Statistics.
Vol. 9, No. 3,
2020, pp. 74-79.
Bunonyo, K. W., Israel-Cookey, C., & Amos, E. (2018). Modeling of Blood Flow through Stenosed Artery with Heat in the Presence of Magnetic Field. Asian Research Journal of Mathematics, 1-14.
Ellahi, R. (2013). The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: analytical solutions. Applied Mathematical Modelling, 37 (3), 1451-1467.
Bhatti, M. M., Zeeshan, A., &Ellahi, R. (2016). Heat transfer analysis on peristaltically induced motion of particle-fluid suspension with variable viscosity: clot blood model. Computer Methods and Programs in Biomedicine, 137, 115-124.
Sharma, G. C., Jain, M., & Singh, A. (2009). Mathematical Analysis of MHD Flow of Blood in Very Narrow Capillaries. International Journal of Engineering, 22 (3), 307-315.
Lagendijk, J. J. W. (1982). The influence of bloodflow in large vessels on the temperature distribution in hyperthermia. Physics in Medicine & Biology, 27 (1), 17.
Wang, Q. Q., Ping, B. H., Xu, Q. B., & Wang, W. (2008). Rheological effects of blood in a nonplanar distal end-to-side anastomosis. Journal of biomechanical engineering, 130 (5).
Ramamurthy, G., & Shanker, B. (1994). Magnetohydrodynamic effects on blood flow through a porous channel. Medical and Biological Engineering and Computing, 32 (6), 655-659.
Das, K., &Saha, G. C. (2009). Arterial MHD pulsatile flow of blood under periodic body acceleration. Bulletin of Society of Mathematicians Banja Luka, 16, 21-42.
Srivastava, N. (2014). Analysis of flow characteristics of the blood flowing through an inclined tapered porous artery with mild stenosis under the influence of an inclined magnetic field. Journal of Biophysics, 2014.
Zamir, M., & Roach, M. R. (1973). Blood flow downstream of a two-dimensional bifurcation. Journal of theoretical biology, 42 (1), 33-48.
Bunonyo, K. W., Amos, E., & Eli, I. C. (2018). Unsteady oscillatory couette flow between vertical parallel plates with constant radiative heat flux. Asian Research Journal of Mathematics, 1-11.
Bunonyo, K. W., Israel-Cookey, C., & Amos, E. (2017). MHD Oscillatory Flow of Jeffrey Fluid in an Indented Artery with Heat Source. Asian Research Journal of Mathematics, 1-13.
Bunonyo, K. W., & Amos, E. (2020). "Investigation of the Treatment and Radiation Effects on Oscillatory Blood Flow through a Stenosed Artery.” American Journal of Engineering Research (AJER), vol. 9 (04), pp. 253-259.
Kumar, S., & Diwakar, C. (2013). A mathematical model of power law fluid with an application of blood flow through an artery with stenosis. Advances in Applied Mathematically Bio-Sciences, 4 (2), 51-61.
Biswas, D., & Chakraborty, U. S. (2010). Two-layered pulsatile blood flow in a stenosed artery with body acceleration and slip at wall. Applications and Applied Mathematics: An International Journal (AAM), 5 (10), 1400-1417.
Chaturani, P., & Ponnalagar Samy, R. (1985). A study of non-Newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases. Biorheology, 22 (6), 521-531.