Thermal instability of a Walters' (model B ') elastico-viscous fluid in the presence of variable gravity field and rotation in porous medium

Citation
V. Sharma et Gc. Rana, Thermal instability of a Walters' (model B ') elastico-viscous fluid in the presence of variable gravity field and rotation in porous medium, J NON-EQU T, 26(1), 2001, pp. 31-40
Citations number
9
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS
ISSN journal
0340-0204 → ACNP
Volume
26
Issue
1
Year of publication
2001
Pages
31 - 40
Database
ISI
SICI code
0340-0204(2001)26:1<31:TIOAW(>2.0.ZU;2-9
Abstract
The problem of thermal instability of a Waiters' (model B ') viscoelastic f luid in a porous medium is considered ill the presence of a variable gravit y field and rotation. It is found that the principle of exchange of stabili ties is valid under certain conditions. For stationary convection, the Wait ers' (model B ') elastico-viscous fluid behaves like a Newtonian fluid. It is found that rotation has stabilizing effect as gravity increases upward a nd a destabilizing effect as gravity decreases upward, the medium permeabil ity has stabilizing/destabilizing effects depending on the rotation paramet er, gravity is considered to be increasing upward from its value g (i.e. la mbda > 0). The effects of rotation and the medium permeability on thermal i nstability have also been shown graphically. The sufficient conditions for the non-existence of overstability are also obtained.