Convective instability in a horizontal porous layer saturated with a chemically reacting Maxwell fluid
- Title
- Convective instability in a horizontal porous layer saturated with a chemically reacting Maxwell fluid
- Creator
- Akbar S.K.; Nargund A.L.; Maruthamanikandan S.
- Description
- The problem of onset of convective instability in a horizontal inert porous layer saturated with a Maxwell viscoelastic fluid subject to zero-order chemical reaction is investigated by linear stability analysis. Modified Darcy-Maxwell model is used to describe the fluid motion. The horizontal porous layer is cooled from the upper boundary while an isothermal boundary condition is imposed at the lower boundary. Closed form solution pertaining to the basic quiescent state is obtained. The resulting eigenvalue problem is solved approximately using the Galerkin method. The Rayleigh number, characterizing the stability of the system, is calculated as a function of viscoelastic parameter, Darcy-Prandtl number, normalized porosity, and the Frank-Kamenetskii number. The possibility of oscillatory instability is discussed. 2013 AIP Publishing LLC.
- Source
- AIP Conference Proceedings, Vol-1557, pp. 130-136.
- Date
- 2013-01-01
- Subject
- Convection; Viscoelasticity; Chemical reaction; Porous medium
- Coverage
- Akbar S.K., Department of Mathematics, Christ University, Bangalore, Hosur Road, India; Nargund A.L., Postgraduate Department of Mathematics and Research Centre in Applied Mathematics, MES College, Malleshwaram, Bangalore, India; Maruthamanikandan S., Department of Mathematics, Christ University, Bangalore, Hosur Road, India
- Rights
- Restricted Access
- Relation
- ISSN: 15517616; ISBN: 978-073541183-8
- Format
- Online
- Language
- English
- Type
- Conference paper
Collection
Citation
Akbar S.K.; Nargund A.L.; Maruthamanikandan S., “Convective instability in a horizontal porous layer saturated with a chemically reacting Maxwell fluid,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 23, 2025, https://archives.christuniversity.in/items/show/21035.