APPROXIMATE SOLUTIONS TO NEUMANN PROBLEM.

J. P. Zarling

APPROXIMATE SOLUTIONS TO NEUMANN PROBLEM.

J. P. Zarling

Energy & Environmental Science & Technology

Research output: Contribution to conference › Paper › peer-review

4 Scopus citations

Abstract

Several approximate solutions to the Neumann problem and its counterpart in cylindrical coordinates have been obtained using Taylor series expansions. The accuracy of these solutions is comparable with other approximate solutions for naturally occurring freeze/thaw applications. The equations provide an easy and accurate method of determining the depth of freeze/thaw and temperature profiles without using graphs, tables or numerical solutions to transcendental equations. Rational functions are proposed as an alternative to Taylor series expansions.

Original language	English
Pages	47-54
Number of pages	8
State	Published - 1987

Cite this

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title = "APPROXIMATE SOLUTIONS TO NEUMANN PROBLEM.",

abstract = "Several approximate solutions to the Neumann problem and its counterpart in cylindrical coordinates have been obtained using Taylor series expansions. The accuracy of these solutions is comparable with other approximate solutions for naturally occurring freeze/thaw applications. The equations provide an easy and accurate method of determining the depth of freeze/thaw and temperature profiles without using graphs, tables or numerical solutions to transcendental equations. Rational functions are proposed as an alternative to Taylor series expansions.",

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year = "1987",

language = "English",

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TY - CONF

T1 - APPROXIMATE SOLUTIONS TO NEUMANN PROBLEM.

AU - Zarling, J. P.

PY - 1987

Y1 - 1987

N2 - Several approximate solutions to the Neumann problem and its counterpart in cylindrical coordinates have been obtained using Taylor series expansions. The accuracy of these solutions is comparable with other approximate solutions for naturally occurring freeze/thaw applications. The equations provide an easy and accurate method of determining the depth of freeze/thaw and temperature profiles without using graphs, tables or numerical solutions to transcendental equations. Rational functions are proposed as an alternative to Taylor series expansions.

AB - Several approximate solutions to the Neumann problem and its counterpart in cylindrical coordinates have been obtained using Taylor series expansions. The accuracy of these solutions is comparable with other approximate solutions for naturally occurring freeze/thaw applications. The equations provide an easy and accurate method of determining the depth of freeze/thaw and temperature profiles without using graphs, tables or numerical solutions to transcendental equations. Rational functions are proposed as an alternative to Taylor series expansions.

UR - https://www.scopus.com/pages/publications/0023213129

M3 - Paper

AN - SCOPUS:0023213129

SP - 47

EP - 54

ER -

APPROXIMATE SOLUTIONS TO NEUMANN PROBLEM.

Abstract

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