1,3Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore-641 004
2Department of Mechanical Engineering, College of Engineering, Guindy Campus, Anna University, Chennai-600 025
Title: Stability of Double-Diffusive Shear Flow in Inclined Cavities
This paper presents a comprehensive stability analysis of a fluid system by examining the governing equations for velocity, temperature, and concentration. By using dimensionless parameters such as the Prandtl (Pr), Schmidt (Sc), and Grashof (Gr) numbers, this study deals with fundamental equations with boundary conditions at x = ±1. The core of the analysis involves introducing a perturbed state and deriving linearized equations to assess the system's response to disturbances. By applying a perturbation expansion method where variables are expressed as power series in terms of the wave number k, the research systematically solves for the zeroth-order and first-order stability components. The mathematical derivation culminates in determining the growth rate (σ) through characteristic equations and hyperbolic function solutions, providing a framework to characterize the stability of the fluid flow.
Keywords: Stability, Inclined cavity, Prandtl number (Pr), Schmidt number (Sc), Grashof number (Gr), wave number (k)
How to cite this article: Mohana Priya. M, Rohith Roshan. A and Sumathi. K, Stability of Double-Diffusive Shear Flow in Inclined Cavities. Int J Drug Deliv Technol. 2026;16(16s): 506-516. DOI: 10.25258/ijddt.16.16s.54
Source of support: Nil.
Conflict of interest: None