Preprints
https://doi.org/10.5194/se-2016-12
https://doi.org/10.5194/se-2016-12
15 Feb 2016
 | 15 Feb 2016
Status: this preprint was under review for the journal SE but the revision was not accepted.

Numerical simulation of mantle convection using a temperature dependent nonlinear viscoelastic model

M. Norouzi, M. Sheibi, and M. Mahmoodi

Abstract. In the present article, the mantle convection is simulated numerically using a temperature dependent non-linear viscoelastic model for the first time. The numerical domain of problem is con sidered as a 4000 km*2000 km rectangular box and the CFD simulation is performed using finite volume method. Unlike the previous works which had been investigated the mantle convection using the linear viscoelastic models or simple nonlinear inelastic viscous equations (such as power law or cross equations), it is solved via the nonlinear Giesekus constitutive equation. Because of large-scale creeping flow in geometry and time, it is shown that the results of Giesekus equation are more reliable for this problem. The main innovative aspects of current study is investigation of temperature dependency of rheological properties of mantle including viscosity, normal stress differences and relaxation time using appropriate equations of state. The variation of gravitational acceleration with depth of Earth and the effect of the work of stress field (viscous dissipation) on mantle convection are also simulated for the first time.

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M. Norouzi, M. Sheibi, and M. Mahmoodi
 
Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement
M. Norouzi, M. Sheibi, and M. Mahmoodi
M. Norouzi, M. Sheibi, and M. Mahmoodi

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Short summary
In the present paper, the mantle convection is simulated numerically using a temperature dependent non-linear viscoelastic model for the first time. Unlike the previous works which had been investigated the mantle convection using the linear viscoelastic models or simple nonlinear inelastic viscous equations (such as power law or cross equations), it is solved via the nonlinear Giesekus constitutive equation. Present study indicates decreasing of effective viscosity flow for larger elastic numbe