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The Impact of a Bulge on Haemodynamics in an Elastic Compliant Artery
Malla Reddy University

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The arterial vascular system exchanges blood gases using pulmonary capabilities. In humans, hemodynamic flows are subjected to periodic velocity modulations. Fluid mechanics and transport of blood gases play an important role in understanding how constitutive relations of the arterial system contribute to human functioning within physiological limits. Assuming the hemodynamic system as a finite dissipative system, the nonlinear evolution equation is perused to understand dynamical challenges under physiological conditions. The infinitesimal component of the vessel wall with concentric thickening in tunica media is considered as a nonaxisymmetric bulge in an elastic-compliant artery. Using the Lie group of transformations method, we discuss the implications of traveling wave solutions to describe their impact on hemodynamic flow in an elastic-compliant artery. We find that cumulative accretion of potential energy contributes to the creation of bright soliton at the apex of the bulge. The wave speed is maximum at the peak of the bulge and progressively retards with the antegrade flow.
03 Sep 2022Submitted to Mathematical Methods in the Applied Sciences
05 Sep 2022Submission Checks Completed
05 Sep 2022Assigned to Editor
14 Sep 2022Reviewer(s) Assigned
09 Feb 2023Review(s) Completed, Editorial Evaluation Pending
13 Feb 2023Editorial Decision: Revise Major
14 Mar 20231st Revision Received
15 Mar 2023Submission Checks Completed
15 Mar 2023Assigned to Editor
15 Mar 2023Review(s) Completed, Editorial Evaluation Pending
15 Mar 2023Reviewer(s) Assigned
21 Mar 2023Editorial Decision: Revise Minor
23 Mar 20232nd Revision Received
23 Mar 2023Submission Checks Completed
23 Mar 2023Assigned to Editor
23 Mar 2023Review(s) Completed, Editorial Evaluation Pending
23 Mar 2023Editorial Decision: Accept