Physics-informed neural network approach to analyze the onset of oscillatory and stationary convections in chemically triggered Navier-Stokes-Voigt fluid layer heated and salted from below

The present work analyzes the linear and weakly nonlinear stability of double-diffusive convection (DDC) in a Navier-Stokes-Voigt (NSV) fluid, considering a chemical reaction and an internal heat source. The lower fluid layer is salted and heated. The quiescent state and dimensionless variables yiel...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and mechanics Vol. 46; no. 11; pp. 2199 - 2220
Main Authors: Sanju, B. S., Naveen Kumar, R., Varun Kumar, R. S., Abdulrahman, A.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2025
Springer Nature B.V
Edition:English ed.
Subjects:
Applications of Mathematics
Chemical reactions
Classical Mechanics
Convection
Diffusivity
Fluid flow
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Navier-Stokes equations
Neural networks
Nonlinear equations
Parameters
Partial Differential Equations
Prandtl number
Runge-Kutta method
Stability
Stream functions (fluids)
O357
stability analysis
35Q35
chemical reaction
internal heat generation
Navier-Stokes-Voigt (NSV) fluid
double-diffusive convection (DDC)
ISSN:0253-4827, 1573-2754
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The present work analyzes the linear and weakly nonlinear stability of double-diffusive convection (DDC) in a Navier-Stokes-Voigt (NSV) fluid, considering a chemical reaction and an internal heat source. The lower fluid layer is salted and heated. The quiescent state and dimensionless variables yield dimensionless parameters for the governing partial differential equations (PDEs). A two-dimensional scenario is investigated using the stream function. Stationary and oscillatory convection can be analyzed using the linear approach. The nonlinear equations are numerically solved using the Runge-Kutta Fehlberg (RKF-45) technique. Additionally, the physics-informed neural network (PINN) validates the mathematical outcomes. The Kelvin-Voigt parameter and the Prandtl number do not affect stationary convection. Thhe neutral stability diagrams show that the ratios of diffusivity, solute Rayleigh, and Kelvin-Voigt parameters stabilize oscillatory convection. However, internal heat and chemical reactions cause instability. The Kelvin-Voigt, internal heat, and chemical reaction parameters increase mass and heat transfer (MHT), while the solute Rayleigh number and the ratio of diffusivity decrease MHT.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-025-3316-7