Effect of curvature on hemodynamics in a stenotic artery
DOI:
https://doi.org/10.55630/j.biomath.2025.01.175Keywords:
mild stenosis, arterial lumen, curvature, flow parameters, shear stressAbstract
The formation of stenosis in the lumen obstructs the normal flow and causes disorders in the cardiovascular system, which becomes riskier due to the curvature of the artery. The curvature affects the blood flow system directly by reducing the velocity, which helps increase the thickness of the stenosis. In this article, the effect of curvature on the stenosed part of an artery is studied using the Navier-Stokes equation in cylindrical polar form. A new model is developed by incorporating a term in quadratic form to address the joint effect of stenosis and curvature upon flow parameters. This model equation with appropriate boundary conditions is solved to get analytical solutions for velocity, volumetric flow rate, pressure drop ratio, and shear stress ratio, and all the results are analyzed geometrically. The results show that when the curvature increases, the pressure drop ratio and shear stress ratio increase, while the velocity and volumetric flow rate decrease. Quantitative effect of the curvature on flow parameters is visualized which may help researchers in the related field.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Pushpa Nidhi Gautam, Jeevan Kafle
This work is licensed under a Creative Commons Attribution 4.0 International License.
The journal Biomath is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
