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ON APPROXIMATE SOLUTIONS OF THE GRAETZ PROBLEM WITH AXIAL CONDUCTION.

Author(s) : LAOHAKUL C.

Type of article: Article

Summary

TWO APPROXIMATE SOLUTIONS OF THE GRAETZ PROBLEM WITH AXIAL CONDUCTION AND A SPECIFIED WALL TEMPERATURE (ONE FOR LOW PECLET NUMBERS AND THE OTHER FOR HIGH PECLET NUMBERS) ARE PRESENTED AND COMPARED WITH THE EXACT ANALYTICAL SOLUTIONS. THE APPROXIMATE EIGENVALUES AND EIGENFUNCTIONS ARE OBTAINABLE EXPLICITLY AND READILY COMPUTABLE, UNLIKE THE METHODS FOR THE EXACT RESULTS. BOTH APPROXIMATE SOLUTIONS GIVE EXCELLENT AGREEMENTS WHEN PECLET NUMBERS ARE LOWER THAN 1 AND HIGHER THAN 10. IN THE LIMITS, BOTH APPROXIMATE SOLUTIONS WILL TEND TOWARDS THOSE EXACT ONES. FOR THE RANGE BETWEEN 1 AND 10, EITHER APPROXIMATE TECHNIQUE GIVES SURPRISINGLY SATISFACTORY RESULTS.

Details

  • Original title: ON APPROXIMATE SOLUTIONS OF THE GRAETZ PROBLEM WITH AXIAL CONDUCTION.
  • Record ID : 1986-0069
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 28 - n. 3
  • Publication date: 1985

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