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SIMPLE SEPARABILITY FOR STEADY HEAT CONDUCTION WITH SPATIALLY-VARYING THERMAL CONDUCTIVITY.

Author(s) : NEGUS K. J., YOVANOVICH M. M.

Type of article: Article

Summary

ALTHOUGH THE REQUIREMENTS FOR THE SEPARATION OF VARIABLES IN THE SOLUTION OF LAPLACE'S EQUATION IN ORTHOGONAL, CURVILINEAR COORDINATE SYSTEMS HAVE BEEN STUDIED PREVIOUSLY, LITTLE HAS BEEN DONE TO APPLY THE METHOD TO A HEAT CONDUCTION PROBLEM INVOLVING SPATIALLY-VARIABLE THERMAL CONDUCTIVITY. THE AUTHORS SHOW A METHOD OF APPROACH, GIVEN THAT THE LAPLACE EQUATION IS KNOWN TO BE SIMPLY SEPARABLE IN SOME CHOSEN SYSTEM OF THE REQUIRED NATURE. AN EXAMPLE IS GIVEN FOR A PROBLEM CONCERNING A FINITE CYLINDER. D.W.H.

Details

  • Original title: SIMPLE SEPARABILITY FOR STEADY HEAT CONDUCTION WITH SPATIALLY-VARYING THERMAL CONDUCTIVITY.
  • Record ID : 1988-0928
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 30 - n. 7
  • Publication date: 1987

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