Effect of Non-inertial Acceleration on BrinkmanBard Convection in Water-Copper Nanoliquid-Saturated Porous Enclosures
- Title
- Effect of Non-inertial Acceleration on BrinkmanBard Convection in Water-Copper Nanoliquid-Saturated Porous Enclosures
- Creator
- Siddheshwar P.G.; Veena B.N.
- Description
- In the present paper we have considered rotating porous tall, square and shallow enclosures heated from below. Linear and non-linear analyses are made using a minimal representation by Fourier trigonometric series. The study is done for realistic boundary condition. Thermophysical properties of water-copper nanoliquid as a function of properties of water as base liquid, copper as nanoparticle and 30% glass fiber reinforced polycarbonate as porous medium are obtained from either phenomenological laws or mixture theory. Non-existence of oscillatory convection is discussed. The range for the existence of unicellular convection is mentioned. The effects of Brinkman number (?), porous parameter (?2), aspect ratio (A) and volume fraction (?) in the presence of rotation on the onset of convection and heat transfer are studied and illustrated graphically. The analytically intractable Lorenz model is derived and transformed into the tractable GinzburgLandau equation using the multiscales method. The definition of Ozoe heat transfer parameter is introduced to discuss the rate of heat transfer enhancement or reduction. It is observed that Ta, ? and ?2 have stabilizing effect on the system and thereby leading to diminished heat transfer whereas A and ? have destabilizing effect on the system and thereby leading to increased heat transfer. Among the three enclosures considered in the study enhanced heat transfer takes place in tall enclosure followed by square and shallow enclosures respectively. It is further observed that presence of nanoparticles advances the onset of convection and enhances the heat transfer. The results of the paper are compared with previous existing results in the absence of rotation and the good agreement is found between them. 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.
- Source
- International Journal of Applied and Computational Mathematics, Vol-7, No. 3
- Date
- 2021-01-01
- Publisher
- Springer
- Subject
- Enclosures; GinzburgLandau equation; Linear analysis; Lorenz model; Nanoparticles; Non-linear analysis; Realistic boundary condition
- Coverage
- Siddheshwar P.G., Department of Mathematics, CHRIST (Deemed to be University), Hosur Road, Bengaluru, 560029, India; Veena B.N., Department of Mathematics, M. S. Ramaiah Institute of Technology, M S Ramaiah Nagar, MSRIT Post, Bengaluru, 560054, India
- Rights
- Restricted Access
- Relation
- ISSN: 23495103
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Siddheshwar P.G.; Veena B.N., “Effect of Non-inertial Acceleration on BrinkmanBard Convection in Water-Copper Nanoliquid-Saturated Porous Enclosures,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/15767.