Lie symmetry approach to study the impact of a bulge on hemodynamics in an elastic‐compliant artery

Abstract

Fluid mechanics and the 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 a nonaxisymmetric bulge in an elastic‐compliant artery. Using the Lie group of transformations method, the implications of traveling wave solutions to describe its impact on hemodynamic flow in an elastic‐compliant artery are discussed. The cumulative accretion of potential energy contributes to the creation of bright soliton at the apex of the bulge.