Open Access
ARTICLE
Exact Solution of Non-Newtonian Blood Flow with Nanoparticles through Porous Arteries: A Comparative Study
Wafaa Alharbi1, Abdulrahman Aljohani1, Essam El-Zahar2, 3, *, Abdelhalim Ebaid1
1 Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, 71491, Saudi Arabia.
2 Department of Mathematics, College of Sciences and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Alkharj, 11942, Saudi Arabia.
3 Department of Basic Engineering Science, Faculty of Engineering, Menofia University, Shebin El-Kom,
32511, Egypt.
* Corresponding Author: E. R. El-Zahar. Email: ; .
Computers, Materials & Continua 2020, 63(3), 1143-1157. https://doi.org/10.32604/cmc.2020.08875
Received 20 October 2019; Accepted 13 March 2020; Issue published 30 April 2020
Abstract
In this paper, the mathematical model describing the third-grade nonNewtonian blood flow suspended with nanoparticles through porous arteries is exactly
solved. The present physical model was solved in the research literature via the optimal
homotopy analysis method and the collocation method, where the obtained solution was
compared with the numerical fourth-order Runge-Kutta solution. However, the present
paper only introduces a new approach to obtain the exact solution of the concerned
system and implements such exact solution as a reference to validate the published
approximate solutions. Several remarks on the previously published results are observed
and discussed in detail through tables and graphs. In view of the present calculations, the
obtained results in the literature by Ghasemi et al. [Ghasemi, Hatami, Sarokolaie et al.
(2015)] may need revisions. Furthermore, it is found that the obtained approximate
results in the relevant literature agree with the current exact ones up to only two or three
decimal places, at most. Hence, the present approach along with the obtained results
reflexes the effectiveness and efficiency of our analysis when compared with the
corresponding study in the literature. Moreover, the present results can be directly
invested for similar future problems of the same constructions.
Keywords
Cite This Article
W. Alharbi, A. Aljohani, E. El-Zahar and A. Ebaid, "Exact solution of non-newtonian blood flow with nanoparticles through porous arteries: a comparative study,"
Computers, Materials & Continua, vol. 63, no.3, pp. 1143–1157, 2020. https://doi.org/10.32604/cmc.2020.08875
Citations