An exponential heat balance integral method
نویسندگان
چکیده
منابع مشابه
An exponential heat balance integral method
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...
متن کاملHeat-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...
متن کاملHyperbolic Functions and the Heat Balance Integral Method
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.
متن کاملHeat Balance Integral Method for One-Dimensional Finite Ablation
In this paper, the heat balance integral method is applied to a simple one-dimensional ablation problem. Previous authors have provided solutions that give good approximations over a short time scale; we attempt to provide a solution valid over a large time scale, both before and after ablation begins. We give motivation for the choice of a quartic approximating function n 4 and compare our res...
متن کاملOn the convergence of the heat balance integral method
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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2002
ISSN: 0096-3003
DOI: 10.1016/s0096-3003(01)00083-2