The heat-balance integral: 1. How to calibrate the parabolic profile?

被引：11

作者：

Hristov, Jordan ^{[1
]}

机构：

[1] Univ Chem Technol & Met, Dept Chem Engn, BU-1756 Sofia, Bulgaria

来源：

COMPTES RENDUS MECANIQUE | 2012年 / 340卷 / 07期

关键词：

Heat-balance integral method; Entropy generation minimization; Myers approach; Half-time fractional derivative; TEMPERATURE; EXPONENT;

D O I：

10.1016/j.crme.2012.03.001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The Heat-Balance Integral Method (HBIM) of Goodman under classic prescribed temperature boundary conditions has been studied towards it optimization. Because the parabolic profile satisfies both the boundary conditions and the heat-balance integral at any value of the exponent the calibration is of a primary importance in generation of the approximate solution. The simple 1-D heat conduction problem, enabling one to demonstrate the HBIM performance with the entropy generation minimization (EGM) concept in calibration of a parabolic temperature profile with unspecified exponents, has been developed. The EGM concept provides constraints that impose addition boundary conditions at the approximate parabolic profile. Additionally, entire domain optimizations based on the mean-squared error concept has been performed in two versions - the method Myers and through a similarity transformed diffusion equation. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：485 / 492

页数：8

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