Abstract
The linear stability of a highly rotating horizontal viscoelastic fluid layer heated from below was studied in Boussinesq approximation, when the fluid is governed by relations due to Oldroyd. The problem is solved by using singular perturbation methods. The effect of elasticity is shown to destabilize the layer, in general. However, the degree of destabilization depends crucially on the retardation time of the fluid as well as on the type of boundary under consideration. The reason for the destabilization is traced down to the inhibition of viscous dissipation by elasticity.
| Original language | English |
|---|---|
| Title of host publication | Z Angew Math Mech |
| Pages | 599-604 |
| Number of pages | 6 |
| Volume | 55 |
| Edition | 10 |
| Publication status | Published - Oct 1975 |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
CONVECTIVE INSTABILITY IN A RAPIDLY ROTATING VISCOELASTIC LAYER. / Eltayeb, I. A.
Z Angew Math Mech. Vol. 55 10. ed. 1975. p. 599-604.Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - CONVECTIVE INSTABILITY IN A RAPIDLY ROTATING VISCOELASTIC LAYER.
AU - Eltayeb, I. A.
PY - 1975/10
Y1 - 1975/10
N2 - The linear stability of a highly rotating horizontal viscoelastic fluid layer heated from below was studied in Boussinesq approximation, when the fluid is governed by relations due to Oldroyd. The problem is solved by using singular perturbation methods. The effect of elasticity is shown to destabilize the layer, in general. However, the degree of destabilization depends crucially on the retardation time of the fluid as well as on the type of boundary under consideration. The reason for the destabilization is traced down to the inhibition of viscous dissipation by elasticity.
AB - The linear stability of a highly rotating horizontal viscoelastic fluid layer heated from below was studied in Boussinesq approximation, when the fluid is governed by relations due to Oldroyd. The problem is solved by using singular perturbation methods. The effect of elasticity is shown to destabilize the layer, in general. However, the degree of destabilization depends crucially on the retardation time of the fluid as well as on the type of boundary under consideration. The reason for the destabilization is traced down to the inhibition of viscous dissipation by elasticity.
UR - http://www.scopus.com/inward/record.url?scp=0016561285&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0016561285&partnerID=8YFLogxK
M3 - Chapter
AN - SCOPUS:0016561285
VL - 55
SP - 599
EP - 604
BT - Z Angew Math Mech
ER -