Nonlinear stability analysis of double-diffusive convection in KelvinVoigt fluid with chemical reaction

Title

Nonlinear stability analysis of double-diffusive convection in KelvinVoigt fluid with chemical reaction

Creator

Basavarajappa M.; Bhatta D.

Description

The influence of Rayleigh friction and chemical reaction on the onset of double-diffusive convection in a NavierStokesVoigt (NSV) fluid layer is investigatedby conducting linear instability and nonlinear stability analyses. The fluid layer is subjected to isothermal conditions and chemical equilibrium at the boundaries. The solubility of the dissolved component exhibits a linear dependency on temperature. The analysis is conducted for two distinct cases: the fluid layer is heated and salted from the bottom (case-1), and the fluid layer is heated from the bottom and salted from the top (case-2). Analytical expressions for the thermal Rayleigh number are obtained for both linear and nonlinear theories, and these expressions depend on KelvinVoigt, Rayleigh friction, solutal Rayleigh, Lewis, Prandtl, and Damkohler numbers. Including the Rayleigh friction term in the NSV fluid model improves the stability of the system and hence instabilityoccurs with less ease. For lower solutal Rayleigh numbers, convection commences in the stationary mode and subsequently transitions to the traveling wave mode occurred in case-1. The Damkohler number plays a significant role in the linear instability thresholds. It is also found that the KelvinVoigt number acts as a stabilizing factor for oscillatory mode convection. The comparison between linear and nonlinear thresholds unveils the region characterized by subcritical instability. 2024 John Wiley & Sons Ltd.

Source

Mathematical Methods in the Applied Sciences, Vol-47, No. 16, pp. 12720-12741.

Date

2024-01-01

Publisher

John Wiley and Sons Ltd

Subject

chemical reaction; double-diffusive convection; Ekman damping; energy method; KelvinVoigt; NavierStokesVoigt fluid

Coverage

Basavarajappa M., School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, TX, United States, Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Banglore, India; Bhatta D., School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, TX, United States

Rights

Restricted Access

Relation

ISSN: 1704214; CODEN: MMSCD

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1002/mma.10177

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