Penetrative Electro-Thermal-Convection in a Dielectric Fluid-Saturated Porous Layer Via Internal Heating: Effect of Boundary Conditions View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04

AUTHORS

R. Ashwini, C. E. Nanjundappa, I. S. Shivakumara

ABSTRACT

The effect of boundary conditions on the onset of penetrative electro-thermal-convection (ETC) in a dielectric fluid-saturated porous medium via internal heating is investigated. The lower and upper boundaries are considered to be either rigid or stress-free. The lower boundary is isothermal, while a general Robin-type of thermal boundary condition is invoked at the upper boundary. The eigenvalue problem is formulated and numerical solutions via Galerkin-type of weighted residual technique for (1) lower and upper-rigid (R–R), (2) lower-rigid and upper-free (R–F), (3) lower and upper-free (F–F) boundary combinations. It is found that the values of gravity thermal Rayleigh or electric thermal Rayleigh number influencing the onset of ETC is higher for R–R boundaries and lower for F–F boundaries. As strength of internal heating increases, it is observed that, there is a hasten in the onset of ETC, while an increase in the Biot number, ratio of viscosities and decrease in the Darcy number is to delay the onset of ETC. Several standard results are recovered as special cases from the current study. More... »

PAGES

37

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s40819-019-0619-x

DOI

http://dx.doi.org/10.1007/s40819-019-0619-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112541262


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