2023, Vol. 4, Issue 2, Part A
Numerical and analytical investigations of viscoelastic fluid flow in non-Newtonian environments: Stability and optimization
Author(s): Ravi M
Abstract: This study presents a comprehensive numerical and analytical investigation of viscoelastic fluid flow in non-Newtonian environments with a focus on stability characteristics and flow optimization. Viscoelastic fluids exhibit complex rheological behavior due to their combined viscous and elastic nature, resulting in nonlinear stress responses and unique instability patterns that challenge conventional fluid dynamic modeling. Employing constitutive frameworks such as Oldroyd-B and Giesekus models, the research integrates linear stability analysis with high-fidelity numerical simulations to examine the influence of key parameters, including Weissenberg, Deborah, and Reynolds numbers, on flow behavior. Analytical solutions are used to characterize local instability mechanisms, while numerical methods capture full nonlinear effects and realistic geometries. An optimization framework is implemented to identify parameter ranges and design modifications that enhance flow stability and minimize undesirable oscillations. The findings contribute to improved predictive capabilities, advanced modeling strategies, and optimized operational conditions for engineering systems involving non-Newtonian viscoelastic fluids.
DOI: https://doi.org/10.22271/math.2023.v4.i2a.266
Pages: 104-111 | Views: 214 | Downloads: 108
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How to cite this article:
Ravi M. Numerical and analytical investigations of viscoelastic fluid flow in non-Newtonian environments: Stability and optimization. Journal of Mathematical Problems, Equations and Statistics. 2023; 4(2): 104-111. DOI: 10.22271/math.2023.v4.i2a.266
