### Abstract

The study of nonlinear effects for slightly supercritical Rayleigh number (which measures the temperature contrast across the layer) shows that plane disturbances for the case where the exchange of stability is valid and plane or centered disturbances for the case of overstability are governed by equations similar to those derived by Hocking, Stewartson & Stuart for plane Poiseuille flow. The influence of elasticity is to give rise to a burst only when the principle of exchange of stability is valid and provided certain conditions relating to the elastic parameters of the fluid are satisfied. The effect of the adiabatic temperature gradient is also discussed.

Original language | English |
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Title of host publication | Proc R Soc London Ser A |

Pages | 161-176 |

Number of pages | 16 |

Volume | 356 |

Edition | 1685 |

Publication status | Published - Jan 1 1977 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proc R Soc London Ser A*(1685 ed., Vol. 356, pp. 161-176)

**NONLINEAR THERMAL CONVECTION IN AN ELASTIVISCOUS LAYER HEATED FROM BELOW.** / Eltayeb, I. A.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Proc R Soc London Ser A.*1685 edn, vol. 356, pp. 161-176.

}

TY - CHAP

T1 - NONLINEAR THERMAL CONVECTION IN AN ELASTIVISCOUS LAYER HEATED FROM BELOW.

AU - Eltayeb, I. A.

PY - 1977/1/1

Y1 - 1977/1/1

N2 - The study of nonlinear effects for slightly supercritical Rayleigh number (which measures the temperature contrast across the layer) shows that plane disturbances for the case where the exchange of stability is valid and plane or centered disturbances for the case of overstability are governed by equations similar to those derived by Hocking, Stewartson & Stuart for plane Poiseuille flow. The influence of elasticity is to give rise to a burst only when the principle of exchange of stability is valid and provided certain conditions relating to the elastic parameters of the fluid are satisfied. The effect of the adiabatic temperature gradient is also discussed.

AB - The study of nonlinear effects for slightly supercritical Rayleigh number (which measures the temperature contrast across the layer) shows that plane disturbances for the case where the exchange of stability is valid and plane or centered disturbances for the case of overstability are governed by equations similar to those derived by Hocking, Stewartson & Stuart for plane Poiseuille flow. The influence of elasticity is to give rise to a burst only when the principle of exchange of stability is valid and provided certain conditions relating to the elastic parameters of the fluid are satisfied. The effect of the adiabatic temperature gradient is also discussed.

UR - http://www.scopus.com/inward/record.url?scp=0017519291&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017519291&partnerID=8YFLogxK

M3 - Chapter

VL - 356

SP - 161

EP - 176

BT - Proc R Soc London Ser A

ER -