A NONLINEAR OPTIMAL CONTROL PROBLEM IN DETERMINING THE STRENGTH OF THE OPTIMAL BOUNDARY HEAT FLUXES
- 30 November 2001
- journal article
- research article
- Published by Informa UK Limited in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 40 (5), 411-429
- https://doi.org/10.1080/104077901753243197
Abstract
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.Keywords
This publication has 10 references indexed in Scilit:
- A three-dimensional inverse forced convection problem in estimating surface heat flux by conjugate gradient methodInternational Journal of Heat and Mass Transfer, 2000
- A three-dimensional inverse heat conduction problem in estimating surface heat flux by conjugate gradient methodInternational Journal of Heat and Mass Transfer, 1999
- A transient inverse two-dimensional geometry problem in estimating time-dependent irregular boundary configurationsInternational Journal of Heat and Mass Transfer, 1998
- Optimal convective heating of a hollow cylinder with temperature dependent thermal conductivityFlow, Turbulence and Combustion, 1994
- OPTIMAL HEATING OF A SLAB WITH A PLANE HEAT SOURCE OF TIMEWISE VARYING STRENGTHNumerical Heat Transfer, Part A: Applications, 1992
- Optimal heating of a slab with two plane heat sources of timewise varying strengthJournal of the Franklin Institute, 1992
- Finite element analysis of optimal heating of a slab with temperature dependent thermal conductivityInternational Journal of Heat and Mass Transfer, 1979
- Finite element and conjugate gradient methods for a nonlinear optimal heat transfer control problemInternational Journal for Numerical Methods in Engineering, 1979
- Distributed parameter system optimum control design via finite element discretizationAutomatica, 1977
- Solution of an inverse problem of heat conduction by iteration methodsJournal of Engineering Physics and Thermophysics, 1974