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Moderate Stefan Number Convection in Rotating Mushy Layers: A New Darcy Equation Formulation

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Abstract

The coriolis effect on a solidifying mushy layer is considered. A near-eutectic approximation and large far-field temperature is employed in the current study for moderate Stefan numbers. The linear stability theory is used to investigate analytically the Coriolis effect on convection in a rotating mushy layer for a new formulation of the Darcy equation. It was found that only stationary convection is possible for moderate Stefan numbers. In contrast to the problem of a stationary mushy layer, rotating the mushy layer has a stabilizing effect on convection. It was also discovered that fot Taylor numbers larger than three (i.e., Ta > 3),increasing the retardability coefficient (hence increasing the solid fraction) destablished the convection.

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References

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Correspondence to Saneshan Govender.

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Govender, S. Moderate Stefan Number Convection in Rotating Mushy Layers: A New Darcy Equation Formulation. Transp Porous Med 59, 127–137 (2005). https://doi.org/10.1007/s11242-004-0669-2

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Keywords

  • rotating flows
  • mushy layers
  • free convection
  • Taylor number
  • solidification