Some analytical solutions of thixotropic fluid flow equations
Engineering mechanics · 2025
The flow of thixotropic fluids is governed by complex nonlinear differential equations, making analytical solutions challenging to obtain.This study employs group analysis to construct particular invariant solutions for the one-dimensional flow equations of a thixotropic fluid.A comprehensive group classification is conducted, leading to the identification of optimal subalgebra systems and their associated invariant solutions.The study demonstrates that, under specific conditions, the governing equations allow for an expanded algebra of infinitesimal operators, enabling the derivation of exact solutions.The results include analytical expressions for velocity and structural parameter distributions, along with conditions for their applicability.Special cases where the system reduces to solvable quadratures are also examined.The findings provide insights into the mathematical properties of thixotropic fluid models and contribute to the broader understanding of structured fluid dynamics.