Spatial Growing Stability of Shear Flows

V. Ganesh; S. Lavanya; M. Chandrasekaran; V. Sharada

doi:https://doi.org/10.14445/22315373/IJMTT-V70I2P103

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 70 | Issue 2 | Year 2024 | Article Id. IJMTT-V70I2P103 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I2P103

Spatial Growing Stability of Shear Flows

V. Ganesh, S. Lavanya, M. Chandrasekaran, V. Sharada

Received	Revised	Accepted	Published
03 Jan 2024	03 Feb 2024	17 Feb 2024	29 Feb 2024

Abstract

The spatial instability of an inviscid, incompressible shear flows with variable density is studied. A criterion for instability to spatially growing disturbances is derived. The range of the instability region is determined, which is found to depend on the basic velocity profile and Richardson number.

Keywords

Shear flows, Breadth function, Variable topography, Stability.

References

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Citation :

V. Ganesh, S. Lavanya, M. Chandrasekaran, V. Sharada, "Spatial Growing Stability of Shear Flows," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 2, pp. 14-19, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I2P103