Heat-balance integral method for heat transfer in superfluid helium
نویسندگان
چکیده
منابع مشابه
Heat-balance Integral Method for Heat Transfer in Superfluid Helium
The heat-bal ance in te gral method is used to solve the non-lin ear heat dif fu sion equa tion in static tur bu lent superfluid he lium (He II). Al though this is an ap prox i mate method, it has proven that it gives so lu tions with fairly good ac cu racy in non-lin ear fluid dy nam ics and heat trans fer. Us ing this method, it has been pos si ble to de velop pre dic tive so lu tions that re...
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Implementations of the heat balance integral method are discussed in which exponential functions are used in place of the familiar polynomial approximants. The rationale is based upon that of least-squares in that the use of ‘appropriate’ basis functions can enhance solution accuracy. Whilst this is true in principle it is shown that considerable skill must be exercised when deviating from poly...
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tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Implementations of the heat balance integral method are discussed in which hyperbolic functions are used in place of the familiar polynomial approximants.
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Convergence properties are established for the piecewise linear heat balance integral solution of a benchmark moving boundary problem, thus generalising earlier results [Numer. Heat Transfer 8 (1985) 373]. A convergence rate of O(n ) is identified with minor effects at large values of the Stefan number b (slow interface movement). The correct O(n ) behaviour for incident heat flux is recovered ...
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ژورنال
عنوان ژورنال: Thermal Science
سال: 2009
ISSN: 0354-9836
DOI: 10.2298/tsci0902121b