Bounds For The Complex Part of Phase Velocity

Sridevi, S.; Ganesh, V.; R, Thenmozhy

doi:10.15415/mjis.2019.72017

Math. J. Interdiscip. Sci.

2019

DOI: 10.15415/mjis.2019.72017

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Bounds For The Complex Part of Phase Velocity

S. Sridevi¹,

V. Ganesh

Thenmozhy R³

Abstract: We study incompressible, inviscid, density stratified fluid with variable cross section in this present paper. For this problem, we have obtained a bound for the complex part of phase velocity. Furthermore, we have obtained an instability region which depends on number of parameters.

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2021

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On physical optics approximation of stratified shear flows with eddy viscosity

Karjanto

2021

Physics of Fluids

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We study a mathematical model of a perturbed stratified shear mean flow in the presence of eddy coefficients of turbulent viscosity. We adopt the standard Boussinesq approximation in the natural convection of the buoyancy-driven flow and neglect the influence of the eddy coefficients of turbulent diffusivity. Comprising both the vertical and horizontal viscosity effects, a model for the vertical velocity perturbation corresponds to a fourth-order Taylor–Goldstein (TG) differential equation. Considering only the latter, we obtained a modified TG equation with the same order as the classical, inviscid one. Under an assumption of the slowly varying Brunt–Väisälä frequency and background horizontal velocity, we discuss the corresponding geometrical and physical optics approximations of the modified TG equation using the WKB method. We further investigate the behavior of these asymptotic solutions near singular values of a turning point and critical level.

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On physical optics approximation of stratified shear flows with eddy viscosity

Karjanto

2021

Physics of Fluids

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show abstract

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Bounds For The Complex Part of Phase Velocity

Abstract: We study incompressible, inviscid, density stratified fluid with variable cross section in this present paper. For this problem, we have obtained a bound for the complex part of phase velocity. Furthermore, we have obtained an instability region which depends on number of parameters.

Cited by 1 publication

References 9 publications

On physical optics approximation of stratified shear flows with eddy viscosity

On physical optics approximation of stratified shear flows with eddy viscosity

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