Key result
A nonaxisymmetric bulge in an elastic-compliant artery creates a bright soliton at its apex, where wave speed reaches a maximum before progressively retarding with antegrade flow.
Why the study?
Fluid mechanics and transport of blood gases play an important role in understanding how arterial constitutive relations contribute to human functioning under physiological conditions.
Mathematical modeling demonstrates that an arterial bulge creates a bright soliton at its apex, affecting local wave speed and hemodynamic flow.
May not alter aneurysm management; extends theoretical models of vascular wave dynamics.
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.
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Vishakha Jadaun (2022) studied Hemodynamics in an elastic compliant artery with a bulge. Nonaxisymmetric bulge was evaluated on Hemodynamic flow and wave speed. A nonaxisymmetric bulge in an elastic-compliant artery creates a bright soliton at its apex, where wave speed reaches a maximum before progressively retarding with antegrade flow.
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