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A UNIFIED SIMILARITY TRANSFORMATION FOR FREE, FORCED AND MIXED CONVECTION IN DARCY AND NON-DARCY POROUS MEDIA.

Author(s) : NAKAYAMA A., POP I.

Type of article: Article

Summary

THE SLIP VELOCITY AT THE WALL RESULTING FROM BOTH THE EXTERNALLY FORCED FLOW AND THE BUOYANCY FORCE IS CHOSEN AS A VELOCITY SCALE TO FORM A MODIFIED PECLET NUMBER WHICH NATURALLY TRANSFORMS INTO THE CONVENTIONAL PECLET NUMBER AND RAYLEIGH REGIMES THE FORCED CONVECTION REGIME, THE DARCY FREE CONVECTION REGIME AND THE FORCHHEIMER FREE CONVECTION REGIME, AS WELL AS 3 OTHER INTERMEDIATE FLOW REGIMES. RELEVANT FLOW PARAMETERS FOR DISTINGUISHING THESE FLOW REGIMES ARE FOUND TO BE THE < MICRO-SCALE > REYNOLDS AND GRASHOF NUMBERS BASED ON THE SQUARE ROOT OF THE PERMEABILITY. ASYMPTOTIC EXPRESSIONS DERIVED FOR THESE FLOW REGIMES APPEAR QUITE USEFUL FOR PRACTICAL ESTIMATION OF CONVECTIVE HEAT TRANSFER WITHIN DARCY AND NON-DARCY MEDIA.

Details

  • Original title: A UNIFIED SIMILARITY TRANSFORMATION FOR FREE, FORCED AND MIXED CONVECTION IN DARCY AND NON-DARCY POROUS MEDIA.
  • Record ID : 1992-0533
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 34 - n. 2
  • Publication date: 1991/02

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