Lie group analysis of flow and heat transfer of a nanofluid in conedisk systems with Hall current and radiative heat flux
- Title
- Lie group analysis of flow and heat transfer of a nanofluid in conedisk systems with Hall current and radiative heat flux
- Creator
- Basavarajappa M.; Bhatta D.
- Description
- A study of the rheological and heat transport characteristics in conedisk systems finds relevance in many applications such as viscometry, conical diffusers, and medical devices. Therefore, a three-dimensional axisymmetric flow with heat transport of a magnetized nanofluid in a conedisk system subjected to Hall current and thermal radiation effects is investigated. The simplified NavierStokes (NS) equations for the conedisk system given by Sdougos et al. [18] Journal of Fluid Mechanics, 138, 379404 are solved by using the asymptotic expansion method for the four different models, such as rotating cone with static disk (Model I), rotating disk with static cone (Model II), co-rotating cone and disk (Model III), and counter-rotating cone and disk (Model IV). The KhanaferVafaiLightstone (KVL) model along with experimental data-based properties of 37 nm Al2O3H2O nanofluid is considered. To obtain the transformations leading to self-similar equations from the NavierStokes (NS) and energy conservation equations, the Lie group technique is used. The self-similar nonlinear problem is solved numerically to examine the effects of physical parameters. There are critical values of the power exponent at which no heat transport from the disk surface occurs. Nanoparticles significantly enhance heat transport when both the cone and disk rotate in the same or opposite directions. The centrifugal force and thermal radiation improve the heat transport in conedisk systems. 2023 John Wiley & Sons Ltd.
- Source
- Mathematical Methods in the Applied Sciences, Vol-46, No. 14, pp. 15838-15867.
- Date
- 2023-01-01
- Publisher
- John Wiley and Sons Ltd
- Subject
- asymptotic expansion method; conedisk system; Hall current; heat transfer; magnetohydrodynamics; nanofluid
- Coverage
- Basavarajappa M., School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, TX, United States, Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, India; Bhatta D., School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, TX, United States
- Rights
- Restricted Access
- Relation
- ISSN: 1704214; CODEN: MMSCD
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Basavarajappa M.; Bhatta D., “Lie group analysis of flow and heat transfer of a nanofluid in conedisk systems with Hall current and radiative heat flux,” CHRIST (Deemed To Be University) Institutional Repository, accessed March 1, 2025, https://archives.christuniversity.in/items/show/14074.