# Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect.

Lorna Richardson; Brian Straughan

- Volume: 4, Issue: 3, page 223-230
- ISSN: 1120-6330

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topRichardson, Lorna, and Straughan, Brian. "Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect.." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4.3 (1993): 223-230. <http://eudml.org/doc/244260>.

@article{Richardson1993,

abstract = {We establish a nonlinear energy stability theory for the problem of convection in a porous medium when the viscosity depends on the temperature. This is, in fact, the situation which is true in real life and has many applications to geophysics. The nonlinear analysis presented here would appear to require the presence of a Brinkman term in the momentum equation, rather than just the normal form of Darcy's law.},

author = {Richardson, Lorna, Straughan, Brian},

journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},

keywords = {Convection; Porous medium; Variable viscosity; energy stability theory; Brinkman term},

language = {eng},

month = {9},

number = {3},

pages = {223-230},

publisher = {Accademia Nazionale dei Lincei},

title = {Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect.},

url = {http://eudml.org/doc/244260},

volume = {4},

year = {1993},

}

TY - JOUR

AU - Richardson, Lorna

AU - Straughan, Brian

TI - Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect.

JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

DA - 1993/9//

PB - Accademia Nazionale dei Lincei

VL - 4

IS - 3

SP - 223

EP - 230

AB - We establish a nonlinear energy stability theory for the problem of convection in a porous medium when the viscosity depends on the temperature. This is, in fact, the situation which is true in real life and has many applications to geophysics. The nonlinear analysis presented here would appear to require the presence of a Brinkman term in the momentum equation, rather than just the normal form of Darcy's law.

LA - eng

KW - Convection; Porous medium; Variable viscosity; energy stability theory; Brinkman term

UR - http://eudml.org/doc/244260

ER -

## References

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