Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo law under the effect of internal heat generation/consumption
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 16 April 2020
Issue publication date: 16 September 2020
Abstract
Purpose
The study of instability due to the effects of Maxwell–Cattaneo law and internal heat source/sink on Casson dielectric fluid horizontal layer is an open question. Therefore, in this paper, the impact of internal heat generation/absorption on Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo heat flux is investigated. The horizontal layer of the fluid is cooled from the upper boundary, while an isothermal boundary condition is utilized at the lower boundary.
Design/methodology/approach
The Casson fluid model is utilized to characterize the non-Newtonian fluid behavior. The horizontal layer of the fluid is cooled from the upper boundary, while an isothermal boundary condition is utilized at the lower boundary. The governing equations are non-dimensionalized using appropriate dimensionless variables and the subsequent equations are solved for the critical Rayleigh number using the normal mode technique (NMT).
Findings
Results are presented for two different cases namely dielectric Newtonian fluid (DNF) and dielectric non-Newtonian Casson fluid (DNCF). The effects of Cattaneo number, Casson fluid parameter, heat source/sink parameter on critical Rayleigh number and wavenumber are analyzed in detail. It is found that the value Rayleigh number for non-Newtonian fluid is higher than that of Newtonian fluid; also the heat source aspect decreases the magnitude of the Rayleigh number.
Originality/value
The effect of Maxwell–Cattaneo heat flux and internal heat source/sink on Rayleigh-Bénard convection in Casson dielectric fluid is investigated for the first time.
Keywords
Acknowledgements
The authors gratefully acknowledge the support of the Management of CHRIST (Deemed to be University), Bangalore, India for pursuing this work. Also, we are very thankful to the Editor and honorable reviewers for their constructive suggestions.Conflicts of Interest: There is no conflict of interest for this work.Erratum: It has come to the attention of the publisher that the article Keerthi, R., Mahanthesh, B. and Nagouda, S.S. (2020), “Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo law under the effect of internal heat generation/consumption” published in Multidiscipline Modeling in Materials and Structures, previously listed an incorrect author order. These errors were introduced in the production process and have now been corrected online. The publisher sincerely apologises for these errors and for any inconvenience caused.
Citation
R, K., Mahanthesh, B. and Nagouda, S.S. (2020), "Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo law under the effect of internal heat generation/consumption", Multidiscipline Modeling in Materials and Structures, Vol. 16 No. 5, pp. 1175-1188. https://doi.org/10.1108/MMMS-09-2019-0174
Publisher
:Emerald Publishing Limited
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