A nonlinear optimal control problem in determining the strength of the optimal boundary heat fluxes

研究成果: Article

15 引文 (Scopus)

摘要

A nonlinear optimal control algorithm in determining the strength of optimal boundary heat fluxes utilizing the conjugate gradient method (CGM) of minimization is applied successfully in the present study based on the desired temperature distributions at the final time of heating. The thermal properties are assumed to be functions of temperature, and this makes the problem nonlinear. The accuracy of this optimal control analysis is examined by using the numerical experiments. Three different desired temperature distributions are given and the corresponding optimal control heat fluxes are to be determined. Results show that the optimal boundary heat fluxes can be obtained with any arbitrary initial guesses within a couple of seconds' CPU time on a Pentium III 600-MHz personal computer.

原文English
頁(從 - 到)411-429
頁數19
期刊Numerical Heat Transfer, Part B: Fundamentals
40
發行號5
DOIs
出版狀態Published - 2001 十一月 1

指紋

Nonlinear Optimal Control
optimal control
Heat Flux
Heat flux
Optimal Control Problem
heat flux
Temperature Distribution
Optimal Control
Temperature distribution
temperature distribution
conjugate gradient method
Conjugate gradient method
Thermal Properties
personal computers
Personal Computer
Conjugate Gradient Method
Guess
CPU Time
Optimal Algorithm
Personal computers

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications

引用此文

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AB - A nonlinear optimal control algorithm in determining the strength of optimal boundary heat fluxes utilizing the conjugate gradient method (CGM) of minimization is applied successfully in the present study based on the desired temperature distributions at the final time of heating. The thermal properties are assumed to be functions of temperature, and this makes the problem nonlinear. The accuracy of this optimal control analysis is examined by using the numerical experiments. Three different desired temperature distributions are given and the corresponding optimal control heat fluxes are to be determined. Results show that the optimal boundary heat fluxes can be obtained with any arbitrary initial guesses within a couple of seconds' CPU time on a Pentium III 600-MHz personal computer.

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