Stability Analysis of Nonlinear Fluid Flows through Mathematical and Computational Approaches

Authors

  • Jnanaranjan Acharya Department of Mechanical Engineering, Lendi Institute of Engineering and Technology, India
  • Virendra Kumar Department of Mechanical Engineering NIT Silchar, India
  • Aishik Dinda Department of Mechanical Engineering, National Institute of Technology Silchar, India
  • Shashank Pal

DOI:

https://doi.org/10.63278/1307

Keywords:

Fluid stability, nonlinear dynamics, Navier-Stokes equations, computational fluid dynamics, bifurcation analysis, turbulence modeling.

Abstract

Fluid nonlinear stability is a basic problem in fluid dynamics, which has a great impact in applications to industrial, meteorological, or engineering processes. This paper studies the mathematical and computational methods to analyze the stability of fluid flows governed by the nonlinear equations like Navier-Stokes equations. The transition scenarios, bifurcations and turbulence onset are also investigated by computational simulations. It is shown that combining analytical and numerical approaches improves understanding of flow stability, and thus facilitates predictive modeling of such systems.

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Published

2025-01-22

How to Cite

Acharya, Jnanaranjan, Virendra Kumar, Aishik Dinda, and Shashank Pal. 2025. “Stability Analysis of Nonlinear Fluid Flows through Mathematical and Computational Approaches ”. Metallurgical and Materials Engineering 31 (1):753-62. https://doi.org/10.63278/1307.

Issue

Vol. 31 No. 1 (2025)

Section

Research

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Copyright (c) 2025 Jnanaranjan Acharya, Virendra Kumar, Aishik Dinda, Shashank pal

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