Effect of Treatment Parameter on Oscillatory Flow of Blood Through an Atherosclerotic Artery with Heat Transfer

Authors

  • R. R. Hanvey
    Department of Mathematics & Statistics, Faculty of Science, SHUATS, India
  • K. W. Bunonyo
    Department of Mathematics & Statistics, Federal University, Otuoke, Nigeria

Keywords:

Blood flow, Heat Transfer, Atherosclerosis, Treatment, Darcy number

Abstract

This research work has been carried out to investigate the influence of treatment parameter on flow of blood in a stenosed artery in the presence of magnetic field with heat transfer. The momentum equation governing the flow field has been solved by scaling it to dimensionless structure with the aid of some dimensionless parameters. The equations have been analytically solved using modified Bessel equation and by the method of undetermined coefficients in order to obtain the temperature profile and velocity profile of the blood flow. The characteristics of the flow have been derived for a certain set of values RT ; Da; \theta; Gr; Re; Pr; \omega; \delta involved in the model analysis and are presented graphically with the help of software Mathematica. Moreover the velocity of the blood is adopting a wavy pattern as the values of the parameters vary. The study can be useful in providing a perception of the treatment caused by the superfluous consumption of fatty foods hence decreasing the risk of cancer, hypertension and many heart related diseases.

Dimensions

K. W. Bunonyo & E. Amos, “Impact of treatment parameter on blood flow in an atherosclerotic artery”, American Journal of Theoretical and Applied Statistics 9 (2020) 74.

M. M. Bhatti, A. Zeeshan, & R. Ellahi, “Heat transfer analysis on peristaltic induced motion of particle fluid suspension with variable viscosity: clot blood model”, Computer methods and Programs in Biomedicine 13 (2016) 115.

Lagendijk JJW. The influence of blood flow in large vessels on temperature distribution in Hyperthermia”, Physics in Medicine and Biology 27 (1982) 17.

N. Srivastava, “Analysis of flow characteristics of blood flowing through an inclined tapered porous artery with mild stenosis under the influence of inclined magnetic field”, Journal of Biophysics 9 (2014), https://doi.org/10.1155/2014/797142.

K. W. Bunonyo & E. Amos, “Investigation of treatment and radiation effects on oscillatory blood flow through a stenosed artery”, American Journal of Engineering Research 9 (2020) 253.

I. M. Eldesoky, “The study of slip effects on the unsteady MHD pulsating blood flow through porous medium in an artery under the effect of body acceleration”, International Journal of Mathematics and Mathematical Sciences 1 (2012). https://doi.org/10.1155/2012/860239.

O. D. Makinde & P. Y. Mhone, “Heat transfer to MHD oscillatory flow in a channel filled with porous medium”, Romanian Journal of Physics 50 (2005) 931.

M. M. Hamza, B. Y. Isah & H. Usman, “Unsteady heat transfer to oscillatory flow through a porous medium under slip condition”, International Journal of Computer Application 33 (2011) 12.

R. Choudhury & U. J. Das, “Heat transfer to MHD oscillatory viscoelastic flow in a channel filled with porous medium”, Physics Research International 1 (2012), https://doi.org/10.1155/2012/879537.

D. Biswas and U. S. Chakraborty, “Pulsatile flow of blood in a constricted artery with body acceleration. Application and Applied Mechanics 4 (2009) 329.

R. R. Hanvey, R. K. Khare & A. Paul, “Heat and mass transfer in oscillatory flow of a non- Newtonian fluid between two inclined porous plates placed in a magnetic field. International Journal of Scientific and Engineering Research 8 (2017) 1594.

B. D. Plourde, L. J. Vallez, B. Sun et al., “Alterations of blood flow through arteries following atherectomy and the impact on pressure variation and velocity” Cardiovascular Engineering and Technology 7 (2016) 280, https://doi.org/10.1007/s13239-016-0269-7.

R. Ali, R. Kaur, V. K. Katiyar, M. Singh, “Mathematical modeling of blood flow through vertebral artery with stenosis”, Indian Journal of Biomechanics (2009) 151.

P. Mathur & S. Jain, “Mathematical model of non-Newtonian blood flow through artery in the presence of stenosis”, Advances in Applied Mathematical Biosciences 4 (2013) 1.

A. Ali & S. Asghar, “Oscillatory channel flow for non-Newtonian fluid. International Journal of Physical Sciences 6 (2011) 8035.

K. W. Bunonyo, I. Cookey & E. Amos, “Modeling of blood flow through stenosed artery with heat in the presence of magnetic field”, Asian Research Journal of Mathematics 8 (2018) 1.

M. Ali, F. Ahmad F & S. Hussain, “Analytical solution of unsteady MHD blood flow and heat transfer through parallel plates when lower plate stretches exponentially. Journal of Applied Environmental and Biological Sciences 5 (2015) 1.

J. U. Abubakar & A. D. Adeoye, “The effects of radiative heat and magnetic field on blood flow in an inclined tapered stenosed porous artery”, Journal of Taibah University of Science 14 (2019) 77.

B. Lavanya, “Analytical study on MHD rotating flow through a porous medium with heat and mass transfer. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 54 (2019) 221.

T. K. Rawat, S. Kumari & S. P. Singh, “The effect of magnetic field on oscillatory blood flow in multi stenosed artery”, International Journal of Science and Research 9 (2020) 1404.

G. Varshney, V. K. Katiyar & Kumar S, “The effect of magnetic field on the blood flow in artery having multiple stenosis”, International Journal of Engineering, Science and Technology 2 (2010) 67.

K. Elangovan & K. Selvaraj, “Study of multiple stenosed artery with periodic body acceleration in presence of magnetic field”, International Journal of Scientific Research and Management 4 (2016) 4214.

G. C. Sankad & P. Nagathan, “Transport of MHD couple stress fluid through peristalsis in a porous medium under the influence of heat transfer and slip effects”, International Journal of Applied Mechanics and Engineering 22 (2017) 403.

B. Tripathi & B. K. Sharma, “Effects of variable viscosity on MHD inclined arterial blood flow with chemical reaction”, International Journal of Applied Mechanics and Engineering 23 (2018) 767.

R. N. Pralhad & D. H. Schultz, “Modelling of arterial stenosis and its applications to blood flow”, Mathematical Biosciences 190 (2004) 203.

M. A. E. Kot & Y. A. Elmaboud, “Unsteady pulsatile fractional Maxwell viscoelastic blood flow with Cattaneo heat flux through a vertical stenosed artery with body acceleration”, Journal of Thermal Analysis and Calorimetry (2021), https://doi.org/10.1007/s10973-021-10822-2.

O. O. Olaiya, R. A. Azeez & M. I. Modeebei, “Efficient hybrid block method for numerical solution of second order partial di erential problems via the method of lines”, Journal of the Nigerian Society of Physical Sciences 3 (2021) 26. https://doi.org/10.46481/jnsps.2021.140.

Published

2022-08-15

How to Cite

Effect of Treatment Parameter on Oscillatory Flow of Blood Through an Atherosclerotic Artery with Heat Transfer. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 682. https://doi.org/10.46481/jnsps.2022.682

Issue

Volume 4, Issue 3, August 2022

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 R. R. Hanvey, K. W. Bunonyo

Creative Commons License

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

How to Cite

Effect of Treatment Parameter on Oscillatory Flow of Blood Through an Atherosclerotic Artery with Heat Transfer. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 682. https://doi.org/10.46481/jnsps.2022.682

Similar Articles

61-70 of 126

You may also start an advanced similarity search for this article.