Theoretical and analytical analysis of convective heat transport of radiated micropolar fluid over a vertical plate under nonlinear Boussinesq approximation
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 26 May 2020
Issue publication date: 16 September 2020
Abstract
Purpose
In heat transfer problems, if the temperature difference is not sufficiently so small then the linear Boussinesq approximation is not adequate to describe thermal analysis. Also, nonlinear density variation with respect to temperature/concentration has a significant impact on heat and fluid flow characteristics. Because of this reason, the impact of nonlinear density variation in the buoyancy force term cannot be neglected. Therefore in this paper, the unsteady flow and heat transfer of radiating magneto-micropolar fluid by considering nonlinear Boussinesq approximation is investigated analytically.
Design/methodology/approach
The flow is fully developed and time-dependent. Heat and mass flux boundary conditions are also accounted in the analysis. The governing equations of transport phenomena are treated analytically using regular perturbation method. To analyze the tendency of the obtained solutions, a parametric study is performed.
Findings
It is established that the velocity field is directly proportional to the nonlinear convection parameter and the same trend is observed with the increase of the value of Grashof number. The micro-rotational velocity profile decreases with increase in the nonlinear convection parameter. Further, the temperature profile increases due to the presence of radiative heat aspect.
Originality/value
The effectiveness of nonlinear Boussinesq approximation in the flow of micropolar fluid past a vertical plate in the presence of thermal radiation and magnetic dipole is investigated for the first time.
Keywords
Acknowledgements
The author (B. Mahanthesh) thankfully acknowledges the support of the Management, Christ (Deemed to be University), Bengaluru, India, for pursuing this work. Also the authors would like to thank Editor/s and anonymous reviewers for their constructive comments to improve the quality of the paper. Conflicts of interest: There is no conflict of interest for this work.
Citation
Mahanty, D., Babu, R. and Mahanthesh, B. (2020), "Theoretical and analytical analysis of convective heat transport of radiated micropolar fluid over a vertical plate under nonlinear Boussinesq approximation", Multidiscipline Modeling in Materials and Structures, Vol. 16 No. 5, pp. 915-936. https://doi.org/10.1108/MMMS-05-2019-0099
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited