On the stability of the d'layer

David E. Loper, Ibrahim A. Eltayeb

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The steady solution for the flow in the D” layer given by Stacey and Loper (1983) is generalized and placed on a firmer mathematical foundation. The stability of this flow is then analyzed and a stability criterion is developed. It is found that the stability of the flow is consistent with a lower-mantle viscosity of 0.5-1.0 loz3 Pas and a temperature jump of 706800K across the layer, but if the viscosity is only 3-5 lo2’ Pas, stability of the flow requires a much lower temperature jump. If the higher value of viscosity is correct and the flow is believed to be close to marginally stable, this argues against a second thermal boundary layer occurring elsewhere in the mantle.

Original languageEnglish
Pages (from-to)229-255
Number of pages27
JournalGeophysical and Astrophysical Fluid Dynamics
Volume36
Issue number3-4
DOIs
Publication statusPublished - 1986

Fingerprint

Viscosity
D region
viscosity
Stability criteria
Earth mantle
Boundary layers
thermal boundary layer
lower mantle
Temperature
boundary layer
mantle
temperature
Hot Temperature

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics
  • Computational Mechanics
  • Astronomy and Astrophysics
  • Mechanics of Materials

Cite this

On the stability of the d'layer. / Loper, David E.; Eltayeb, Ibrahim A.

In: Geophysical and Astrophysical Fluid Dynamics, Vol. 36, No. 3-4, 1986, p. 229-255.

Research output: Contribution to journalArticle

@article{3aeaf102f69e453ea1e3420f4d50c125,
title = "On the stability of the d'layer",
abstract = "The steady solution for the flow in the D” layer given by Stacey and Loper (1983) is generalized and placed on a firmer mathematical foundation. The stability of this flow is then analyzed and a stability criterion is developed. It is found that the stability of the flow is consistent with a lower-mantle viscosity of 0.5-1.0 loz3 Pas and a temperature jump of 706800K across the layer, but if the viscosity is only 3-5 lo2’ Pas, stability of the flow requires a much lower temperature jump. If the higher value of viscosity is correct and the flow is believed to be close to marginally stable, this argues against a second thermal boundary layer occurring elsewhere in the mantle.",
author = "Loper, {David E.} and Eltayeb, {Ibrahim A.}",
year = "1986",
doi = "10.1080/03091928608210086",
language = "English",
volume = "36",
pages = "229--255",
journal = "Geophysical and Astrophysical Fluid Dynamics",
issn = "0309-1929",
publisher = "Taylor and Francis Ltd.",
number = "3-4",

}

TY - JOUR

T1 - On the stability of the d'layer

AU - Loper, David E.

AU - Eltayeb, Ibrahim A.

PY - 1986

Y1 - 1986

N2 - The steady solution for the flow in the D” layer given by Stacey and Loper (1983) is generalized and placed on a firmer mathematical foundation. The stability of this flow is then analyzed and a stability criterion is developed. It is found that the stability of the flow is consistent with a lower-mantle viscosity of 0.5-1.0 loz3 Pas and a temperature jump of 706800K across the layer, but if the viscosity is only 3-5 lo2’ Pas, stability of the flow requires a much lower temperature jump. If the higher value of viscosity is correct and the flow is believed to be close to marginally stable, this argues against a second thermal boundary layer occurring elsewhere in the mantle.

AB - The steady solution for the flow in the D” layer given by Stacey and Loper (1983) is generalized and placed on a firmer mathematical foundation. The stability of this flow is then analyzed and a stability criterion is developed. It is found that the stability of the flow is consistent with a lower-mantle viscosity of 0.5-1.0 loz3 Pas and a temperature jump of 706800K across the layer, but if the viscosity is only 3-5 lo2’ Pas, stability of the flow requires a much lower temperature jump. If the higher value of viscosity is correct and the flow is believed to be close to marginally stable, this argues against a second thermal boundary layer occurring elsewhere in the mantle.

UR - http://www.scopus.com/inward/record.url?scp=84963451916&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84963451916&partnerID=8YFLogxK

U2 - 10.1080/03091928608210086

DO - 10.1080/03091928608210086

M3 - Article

AN - SCOPUS:84963451916

VL - 36

SP - 229

EP - 255

JO - Geophysical and Astrophysical Fluid Dynamics

JF - Geophysical and Astrophysical Fluid Dynamics

SN - 0309-1929

IS - 3-4

ER -