Geodesic
Non-linear Chandrasekhar-Bénard convection\\ in temperature-dependent variable viscosity Boussinesq-Stokes suspension fluid with variable heat source/sink
Applications of Mathematics, Tome 68 (2023) no. 3, pp. 357-376.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The generalized Lorenz model for non-linear stability of Rayleigh-Bénard magneto-convection is derived in the present paper. The Boussinesq-Stokes suspension fluid in the presence of variable viscosity (temperature-dependent viscosity) and internal heat source/sink is considered in this study. The influence of various parameters like suspended particles, applied vertical magnetic field, and the temperature-dependent heat source/sink has been analyzed. It is found that the basic state of the temperature gradient, viscosity variation, and the magnetic field can be conveniently expressed using the half-range Fourier cosine series. This facilitates to determine the analytical expression of the eigenvalue (thermal Rayleigh number) of the problem. From the analytical expression of the thermal Rayleigh number, it is evident that the Chandrasekhar number, internal Rayleigh number, Boussinesq-Stokes suspension parameters, and the thermorheological parameter influence the onset of convection. The non-linear theory involves the derivation of the generalized Lorenz model which is essentially a coupled autonomous system and is solved numerically using the classical Runge-Kutta method of the fourth order. The quantification of heat transfer is possible due to the numerical solution of the Lorenz system. It has been shown that the effect of heat source and temperature-dependent viscosity advance the onset of convection and thereby give rise to enhancing the heat transport. The Chandrasekhar number and the couple-stress parameter have stabilizing effects and reduce heat transfer. This problem has possible applications in the context of the magnetic field which influences the stability of the fluid.
DOI : 10.21136/AM.2022.0037-22
Classification : 76E30, 76W05
Keywords: Rayleigh-Bénard convection; heat source/sink; Boussinesq-Stokes suspension; Boussinesq approximation; Lorenz model 
@article{10_21136_AM_2022_0037_22,
     author = {Kavitha, Nagasundar and Aruna, Agrahara Sanjeevmurthy and Basavaraj, MKoppalu Shankarappa and Ramachandramurthy, Venkatesh},
     title = {Non-linear {Chandrasekhar-B\'enard} convection\\ in temperature-dependent variable viscosity {Boussinesq-Stokes} suspension fluid with variable heat source/sink},
     journal = {Applications of Mathematics},
     pages = {357--376},
     publisher = {mathdoc},
     volume = {68},
     number = {3},
     year = {2023},
     doi = {10.21136/AM.2022.0037-22},
     mrnumber = {4586126},
     zbl = {07729501},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0037-22/}
}
TY  - JOUR
AU  - Kavitha, Nagasundar
AU  - Aruna, Agrahara Sanjeevmurthy
AU  - Basavaraj, MKoppalu Shankarappa
AU  - Ramachandramurthy, Venkatesh
TI  - Non-linear Chandrasekhar-Bénard convection\\ in temperature-dependent variable viscosity Boussinesq-Stokes suspension fluid with variable heat source/sink
JO  - Applications of Mathematics
PY  - 2023
SP  - 357
EP  - 376
VL  - 68
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0037-22/
DO  - 10.21136/AM.2022.0037-22
LA  - en
ID  - 10_21136_AM_2022_0037_22
ER  - 
%0 Journal Article
%A Kavitha, Nagasundar
%A Aruna, Agrahara Sanjeevmurthy
%A Basavaraj, MKoppalu Shankarappa
%A Ramachandramurthy, Venkatesh
%T Non-linear Chandrasekhar-Bénard convection\\ in temperature-dependent variable viscosity Boussinesq-Stokes suspension fluid with variable heat source/sink
%J Applications of Mathematics
%D 2023
%P 357-376
%V 68
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0037-22/
%R 10.21136/AM.2022.0037-22
%G en
%F 10_21136_AM_2022_0037_22
Kavitha, Nagasundar; Aruna, Agrahara Sanjeevmurthy; Basavaraj, MKoppalu Shankarappa; Ramachandramurthy, Venkatesh. Non-linear Chandrasekhar-Bénard convection\\ in temperature-dependent variable viscosity Boussinesq-Stokes suspension fluid with variable heat source/sink. Applications of Mathematics, Tome 68 (2023) no. 3, pp. 357-376. doi : 10.21136/AM.2022.0037-22. http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0037-22/

Cité par Sources :