An Oscillatory Flow of Jeffrey Fluid through an Irregular Channel in the Presence of Magnetic Field

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-6
Year of Publication : 2021
Authors : KW. Bunonyo, B. Okardi
  10.14445/22315373/IJMTT-V67I6P501

MLA

MLA Style: KW. Bunonyo, B. Okardi  "An Oscillatory Flow of Jeffrey Fluid through an Irregular Channel in the Presence of Magnetic Field" International Journal of Mathematics Trends and Technology 67.6 (2021):1-20. 

APA Style: KW. Bunonyo, B. Okardi(2021). An Oscillatory Flow of Jeffrey Fluid through an Irregular Channel in the Presence of Magnetic Field International Journal of Mathematics Trends and Technology, 1-20.

Abstract
Atherosclerosis is a form of cardiovascular illness characterized by an accumulation of insoluble substances, cellular debris and inflammation in the innermost layer of the arterial wall. Statin drugs have been the primary method for treating atherosclerotic lesions, but recent research suggests that lifestyle changes, in particular consuming a diet rich in antioxidants, may be equally effective at preventing and potentially reversing the process of atherogenesis. In this research, we formulated mathematical models to study the effect of the antioxidants on the legion regression of an atherosclerosis at the biological, and the geometry of the irregularity caused by an oxidation shown as the first equation. The second equation is the momentum equation, which is the fluid flow equation, the third equation is the energy equation and finally, the fourth equation is the mass diffusion of cholesterol equation. The aforementioned equations were scaled and reduced to a system of an ordinary differential equation. The biological model led to analytical solutions of the velocity, concentration and temperature profiles. Mathematica codes were developed to simulate the effect of the governing parameters on the flow profiles. Through the use of these equations, applied mathematicians can supply cardiologists with means for simulating and numerically analyzing various lesion regression scenarios.

Reference

[1] Giua, L., Blasi, F., Simonetti, M. S., & Cossignani, L. (2013). Oxidative modifications of conjugated and unconjugated linoleic acid during heating. Food chemistry, 140(4) 680-685.
[2] Xian, T. K., Omar, N. A., & Ying, L. W. (2013). Reheated Palm Oil Consumption and Risk of Atherosclerosis: Evidence at Ultrastructural Level. Evid Based Complement Alterante Med 2012. Publication.
[3] Ng, C. Y., Leong, X. F., Masbah, N., Adam, S. K., Kamisah, Y., & Jaarin, K. (2014). Heated vegetable oils and cardiovascular disease risk factors. Vascular pharmacology, 61(1) 1-9.
[4] Baradaran, A., Nasri, H., & Rafieian-Kopaei, M. (2014). Oxidative stress and hypertension: Possibility of hypertension therapy with antioxidants. Journal of research in medical sciences: the official journal of Isfahan University of Medical Sciences, 19(4) 358.
[5] Hausding, M., Jurk, K., Daub, S., Kröller-Schön, S., Stein, J., Schwenk, M., ... & Daiber, A. (2013). CD40L contributes to angiotensin II-induced pro-thrombotic state, vascular inflammation, oxidative stress and endothelial dysfunction. Basic research in cardiology, 108(6) 1-16.
[6] Swirski, F. K., & Nahrendorf, M. (2013). Leukocyte behavior in atherosclerosis, myocardial infarction, and heart failure. Science, 339(6116) 161-166.
[7] Kock, J. L. F., Pohl, C. H., & Venter, A. (2002). Super-oxidized soups and the health risks to poor South Africans: News an views. South African journal of science, 98(9) 413-414.
[8] Jaarin, K., Masbah, N., & Nordin, S. H. (2016). Heated cooking oils and its effect on blood pressure and possible mechanism: a review. Int J Clin Exp Med, 9(2) 626-636.
[9] Venkata, R. P., & Subramanyam, R. (2016). Evaluation of the deleterious health effects of consumption of repeatedly heated vegetable oil. Toxicology reports, 3, 636-643.
[10] Zhou, Z., Wang, Y., Jiang, Y., Diao, Y., Strappe, P., Prenzler, P., ... & Blanchard, C. (2016). Deep-fried oil consumption in rats impairs glycerolipid metabolism, gut histology and microbiota structure. Lipids in health and disease, 15(1) 1-11.
[11] Falade, A. O., Oboh, G., & Okoh, A. I. (2017). Potential health lmplications of the consumption of thermally-oxidized cooking oils–a review. Polish journal of food and nutrition sciences, 67(2).
[12] Kritchevsky, D., & Tepper, S. A. (1967). Cholesterol vehicle in experimental atherosclerosis: Part 9. Comparison of heated corn oil and heated olive oil. Journal of atherosclerosis research, 7(5) 647-651.
[13] Staprãns, I., Rapp, J. H., Pan, X. M., Hardman, D. A., & Feingold, K. R. (1996). Oxidized lipids in the diet accelerate the development of fatty streaks in cholesterol-fed rabbits. Arteriosclerosis, Thrombosis, and Vascular Biology, 16(4) 533-538.
[14] Staprans, I., Pan, X. M., Rapp, J. H., & Feingold, K. R. (1998). Oxidized cholesterol in the diet accelerates the development of aortic atherosclerosis in cholesterol-fed rabbits. Arteriosclerosis, thrombosis, and vascular biology, 18(6) 977-983.
[15] Odia, O. J., Ofori, S., & Maduka, O. (2015). Palm oil and the heart: a review. World journal of cardiology, 7(3) 144.
[16] Ong, A. S. H. (1994). Nutritional aspects of palm oil: an introductory review. Asia Pacific J Clin Nutr, 3, 201-206.
[17] Taghvaei, M., & Jafari, S. M. (2015). Application and stability of natural antioxidants in edible oils in order to substitute synthetic additives. Journal of food science and technology, 52(3) 1272-1282.
[18] 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.
[19] Bunonyo, K. W., & Amos, E. (2020). Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field. Mathematical Modelling and Applications, 5(3) 129.
[20] Bunonyo, K. W., Amos, E., & Goldie, J. B. (2020). Mathematical Modelling of an Atherosclerotic Blood Flow Through Double Stenosed Region with Application of Treatment. International Journal of Applied Mathematics and Theoretical Physics, 6(2) 19.
[21] Bunonyo, K. W., & Eli, I. C. (2020). Mathematical Modeling of an Oscillatory MHD Blood Flow through a Lipid Saturated Porous Channel with Metabolic Heat and Magnetic Field. Communication in Physical Sciences, 6(1).
[22] 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..

Keywords : Atherosclerosis, Heat, Jeffrey Fluid, Palm Oil, Oscillatory, Magnetic Field