Abstract
The effect of thermal and velocity boundary conditions on electrothermal convection in a dielectric fluidsaturatedlayer of Brinkman porous medium with temperature dependent viscosity (TDV) has been studied. The lowerrigid/free boundary is either fixed temperature or fixed heat flux with respect to temperature perturbations, while atthe upper rigid/free boundary the Robin type of thermal boundary condition is invoked. The eigenvalue problem issolved numerically using the Galerkin-type of weighted residual method. The instability threshold dependssignificantly on boundary conditions and dimensionless physical parameters namely, the Biot number, temperaturedependent viscosity and permeability parameters. The critical gravity thermal or electric thermal Rayleigh numbermaking the onset of electrothermal convection is found to be higher for fixed temperature conditions and also for bothboundaries rigid while it is lower for fixed heat flux conditions and also for both boundaries free. Some known resultsare recovered as special cases from the present study.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
