Open Access

ARTICLE

EVALUATION OF THE USE OF CONSTRAINTS IN STEP-BY-STEP ALGORITHMS FOR THE SOLUTION OF A 2D INVERSE HEAT TRANSFER PROBLEM

Rodrigo Vidonscky Pinto^a , Flávio Augusto Sanzovo Fiorelli^b,*

a University Centre of United Metropolitan Faculties, Dept. of Mechanical Engineering - São Paulo, SP, 04505-002, Brazil
b Escola Politécnica, University of Sao Paulo - Dept. of Mechanical Engineering, Sao Paulo, SP, 05508-030, Brazil
* Corresponding author. Email: rodrigovidonscky@gmail.com

Frontiers in Heat and Mass Transfer 2022, 19, 1-10. https://doi.org/10.5098/hmt.19.30

Abstract

The present paper provides a discussion about the use of constraints in step-by-step optimization algorithms used for the solution of a twodimensional inverse heat transfer problem containing a modeling error. It is observed that the unrestricted algorithms provided better estimates to the power map and the introduction of constraints is harmful to the solution of the inverse heat transfer problem, reducing the area in which this solution approaches the actual heat sources distribution, due to the solution of the unrestricted problem adopting negative values in restricted areas, which compensate the high sensitivity of this problem and consequently provide improved solutions.

---

Keywords

---