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THE USE OF LUMPED CAPACITANCE IN THE FINITE-ELEMENT SOLUTION OF HEAT CONDUCTION PROBLEMS WITH PHASE CHANGE.

Author(s) : PHAM Q. T.

Type of article: Article

Summary

IN THE FINITE-ELEMENT SOLUTION OF HEAT CONDUCTION PROBLEMS WITH PHASE CHANGE, THE SINGULAR BEHAVIOUR OF THE SPECIFIC HEAT NEAR THE PHASE-CHANGE POINT CAUSES SPECIAL PROBLEMS. THESE PROBLEMS CAN BE OVERCOME BY LUMPING THE THERMAL CAPACITANCE OF THE MATERIAL AT THE NODES, TO OBTAIN A DIAGONAL CAPACITANCE MATRIX. THE LUMPED-CAPACITANCE PRINCIPLE WAS COMBINED WITH THE EXPLICIT ENTHALPY METHOD AND PHAM'S THREE-LEVEL ENTHALPY METHOD. TESTS AGAINST FREEZING PROBLEMS SHOW THAT FOR STEFAN PROBLEMS BOTH RESULTING METHODS ARE MORE ACCURATE THAN PREVIOUS THREE-LEVEL DISTRIBUTED CAPACITANCE METHODS.

Details

  • Original title: THE USE OF LUMPED CAPACITANCE IN THE FINITE-ELEMENT SOLUTION OF HEAT CONDUCTION PROBLEMS WITH PHASE CHANGE.
  • Record ID : 1986-1385
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 29 - n. 2
  • Publication date: 1986

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