<abstract xmlns="http://www.w3.org/1999/xhtml">In this study, non-Newtonian pseudoplastic fluid flow equations for 2-D steady, incompressible, the natural convective heat transfer are solved numerically by pseudo time derivative. The stability properties of natural convective heat transfer in an enclosed cavity region heated from below under magnetic field effect are investigated depending on the Rayleigh and Chandrasekhar numbers. Stability properties are studied, in particular, for the Rayleigh number from 104 to 106 and for the Chandrasekhar number 3, 5 and 10. As a result, when Rayleigh number is bigger than 106 and Chandrasekhar number is bigger than 10, the instability occurs in the flow domain. The results obtained for natural convective heat transfer problem are shown in the figures for Newtonian and pseudoplastic fluids. Finally, the local Nusselt number is evaluated along the bottom wall.</abstract>

In this study, non-Newtonian pseudoplastic fluid flow equations for 2-D steady, incompressible, the natural convective heat transfer are solved numerically by pseudo time derivative. The stability properties of natural convective heat transfer in an enclosed cavity region heated from below under magnetic field effect are investigated depending on the Rayleigh and Chandrasekhar numbers. Stability properties are studied, in particular, for the Rayleigh number from 104 to 106 and for the Chandrasekhar number 3, 5 and 10. As a result, when Rayleigh number is bigger than 106 and Chandrasekhar number is bigger than 10, the instability occurs in the flow domain. The results obtained for natural convective heat transfer problem are shown in the figures for Newtonian and pseudoplastic fluids. Finally, the local Nusselt number is evaluated along the bottom wall.

Numerical Solution of Natural Convective Heat Transfer Under Magnetic Field Effect

Faculty of Arts and Sciences, Department of Mathematics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this study, non-Newtonian pseudoplastic fluid flow equations for 2-D steady, incompressible, the natural convective heat transfer are solved numerically by...

Numerical Solution of Natural Convective Heat Transfer Under Magnetic Field Effect

Publié en ligne: 18 avr. 2019

Pages: 23 - 29

Reçu: 03 août 2018

Accepté: 13 mars 2019

DOI: https://doi.org/10.2478/ama-2019-0004

Mots clés
Natural convective heat transfer, Rayleigh number, Chandrasekhar number, pseudo time derivative, Newtonian fluids, pseudoplastic fluids

© 2019 Serpil Şahin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Numerical Solution of Natural Convective Heat Transfer Under Magnetic Field Effect

Publié en ligne: 18 avr. 2019

Pages: 23 - 29

Reçu: 03 août 2018

Accepté: 13 mars 2019

DOI: https://doi.org/10.2478/ama-2019-0004

Mots clésNatural convective heat transfer, Rayleigh number, Chandrasekhar number, pseudo time derivative, Newtonian fluids, pseudoplastic fluids

© 2019 Serpil Şahin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Natural convective heat transfer, Rayleigh number, Chandrasekhar number, pseudo time derivative, Newtonian fluids, pseudoplastic fluids