<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper examines a nonlinear investigation of viscoelastic ferromagnetic convection under gravity modulation. A weakly nonlinear instability has been investigated using the perturbation method. Based on the Oldroyd model for ferrofluids, the constitutive equations of the flow model were developed. The coupled system of the Khayat-Lorenz model developed and was numerically solved in the presence of gravity modulation. Heat transfer results are examined for nonlinear theory and neutral stability curves for linear theory. The nonlinear PDE system is transformed into a nonlinear ODE system with similarity transformations up to the second term. The dual effect of the gravity modulation includes stabilizing and destabilizing.</p>
</abstract>

This paper examines a nonlinear investigation of viscoelastic ferromagnetic convection under gravity modulation. A weakly nonlinear instability has been investigated using the perturbation method. Based on the Oldroyd model for ferrofluids, the constitutive equations of the flow model were developed. The coupled system of the Khayat-Lorenz model developed and was numerically solved in the presence of gravity modulation. Heat transfer results are examined for nonlinear theory and neutral stability curves for linear theory. The nonlinear PDE system is transformed into a nonlinear ODE system with similarity transformations up to the second term. The dual effect of the gravity modulation includes stabilizing and destabilizing.

Effect of Gravitation Modulation on Viscoelastic Nonlinear Ferro-Convection

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

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

{"article-title":"Effect of Gravitation Modulation on Viscoelastic Nonlinear Ferro-Convection"}

This paper examines a nonlinear investigation of viscoelastic ferromagnetic convection under gravity modulation. A weakly nonlinear instability has been...

Effect of Gravitation Modulation on Viscoelastic Nonlinear Ferro-Convection

Published Online: Feb 10, 2023

Page range: 7 - 24

Received: Apr 15, 2022

Accepted: Mar 15, 2022

DOI: https://doi.org/10.2478/bipmf-2022-0006

Keywords
Gravity Modulation, Convection, Ferromagnetic fluid, Heat transfer, viscoelastic fluid

© 2022 Sivaraj Hajjiurge Manjula et al., published by Sciendo

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

Effect of Gravitation Modulation on Viscoelastic Nonlinear Ferro-Convection

Published Online: Feb 10, 2023

Page range: 7 - 24

Received: Apr 15, 2022

Accepted: Mar 15, 2022

DOI: https://doi.org/10.2478/bipmf-2022-0006

KeywordsGravity Modulation, Convection, Ferromagnetic fluid, Heat transfer, viscoelastic fluid

© 2022 Sivaraj Hajjiurge Manjula et al., published by Sciendo

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

Keywords
Gravity Modulation, Convection, Ferromagnetic fluid, Heat transfer, viscoelastic fluid