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NEW METHODS OF THE MASS AND HEAT TRANSFER THEORY. II. THE METHODS OF ASYMPTOTIC INTERPOLATION AND EXTRAPOLATION.

Author(s) : POLYANIN A. D., DIL'MAN V. V.

Type of article: Article

Summary

A METHOD FOR THE CONSTRUCTION OF APPROXIMATE FORMULAE BASED ON THE USE OF THE WELL-KNOWN TWO-SIDED ASYMPTOTIC EXPRESSIONS OF THE SOLUTION TO THE CORRESPONDING PROBLEM (THE METHOD OF ASYMPTOTIC INTERPOLATION) IS SUGGESTED AS WELL AS THE TECHNIQUE FOR A SUBSTANTIAL EXTENSION OF THE VALIDITY RANGE OF ONE-SIDED ASYMPTOTICFORMULAE BASED ON THE PROCEDURE OF SMALL OR LARGE PARAMETER < ELIMINATION > (THE METHOD OF ASYMPTOTIC EXTRAPOLATION). THE MATERIAL IS PRESENTED ON AN EXAMPLE OF CONVECTIVE MASS AND HEAT TRANSFER AND HYDRODYNAMICS PROBLEMS. A COMPARISON OF THE RESULTS OBTAINED WITH A VARIETY OF SPECIFIC CASES, FOR WHICH EXACT AND APPROXIMATE FORMULAE ARE AVAILABLE SHOWS GOOD ACCURACY AND WIDE POSSIBILITIES OF THE METHODS SUGGESTED.

Details

  • Original title: NEW METHODS OF THE MASS AND HEAT TRANSFER THEORY. II. THE METHODS OF ASYMPTOTIC INTERPOLATION AND EXTRAPOLATION.
  • Record ID : 1985-2329
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 28 - n. 1
  • Publication date: 1985

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