Convective instability analysis of couple-stress dielectric fluid saturated anisotropic porous medium with radiation effect
- Title
- Convective instability analysis of couple-stress dielectric fluid saturated anisotropic porous medium with radiation effect
- Creator
- Myson S.; Nagouda S.S.
- Description
- Purpose: The effects of anisotropy and radiation cannot be considered negligible while investigating the stability of the fluid in convection. Hence, the purpose of this paper is to analyze how these effects could affect the system while considering a couple-stress dielectric fluid. Therefore, the study establishes the effect of thermal radiation in a couple-stress dielectric fluid with an anisotropic porous medium using Goody's approach (Goody, 1956). Design/methodology/approach: To analyze the effect of radiation on the onset of convection, the MilneEddington approximation is employed to convert radiative heat flux to thermal heat flux. The equations are further developed to approximate for transparent and opaque medium. Stability of the quiescent state within the framework of linear theory is performed. The principle of exchange of stabilities is shown to be valid by means of single-term Galerkin method. Large values of conductionradiation and absorptivity parameters are avoided as fluid is considered as liquid rather than gas. Findings: The radiative heat transfer effect on a couple-stress dielectric fluid saturated anisotropic porous medium is examined in terms of MilneEddington approximation. The effect of couple-stress, dielectric, anisotropy and radiation parameters are analyzed graphically for both transparent and opaque medium. It is observed that the conductionradiation parameter stabilizes the system; in addition, the critical DarcyRayleigh number also shows a stabilizing effect in the absence of couple-stress, dielectric and anisotropy parameters, for both transparent and opaque medium. Furthermore, the absorptivity parameter stabilizes the system in the transparent medium, whereas it exhibits a dual effect in the case of an opaque medium. It was also found that an increase in thermal and mechanical anisotropy parameters shows an increase in the cell size, whereas the increase in DarcyRoberts number and conductionradiation parameter decreases the cell size. The validity of principle of exchange of stability is performed and concluded that marginal stability is the preferred mode than oscillatory. Originality/value: The effects of anisotropy and radiation on RayleighBard convection by considering a couple-stress dielectric fluid has been analyzed for the first time. 2020, Emerald Publishing Limited.
- Source
- Multidiscipline Modeling in Materials and Structures, Vol-16, No. 5, pp. 1019-1039.
- Date
- 2020-01-01
- Publisher
- Emerald Group Holdings Ltd.
- Subject
- Anisotropy; Couple-stress dielectric fluid; Galerkin method; MilneEddington approximation; Radiation; Rayleigh-Bard convection
- Coverage
- Myson S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Nagouda S.S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India
- Rights
- Restricted Access
- Relation
- ISSN: 15736105
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Myson S.; Nagouda S.S., “Convective instability analysis of couple-stress dielectric fluid saturated anisotropic porous medium with radiation effect,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/16229.