Inverse Convection-Diffusion Problem of Estimating Boundary Velocity Based on Internal Temperature Measurements

Authors: Szczygiel I.; Fic A.

Source: Inverse Problems in Engineering, Volume 10, Number 3, 1 January 2002 , pp. 271-291(21)

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Abstract:

Possibility and algorithm of identification of boundary velocity based on the measurements of internal temperature is presented and studied in the paper. Procedure for solving the steady state inverse convection-diffusion heat transfer problem with potential fluid flow in 2D was worked out. The presented procedure employs sensitivity coefficient technique and finite element method. Due to the nonlinearity, the iterative algorithm was used for solving the inverse problem. The direct and inverse procedures and their solutions are discussed in the paper. The sensitivity of the estimation with respect to changes of selected parameters is also investigated. The presented analysis is directed at heat transfer processes in the ground with groundwater flow.

Keywords: Inverse problem; Convection-diffusion heat transfer; Boundary velocity estimation; Finite element method; Sensitivity coefficients

Document Type: Research article

Affiliations: 1: Institute of Thermal Technology, Silesian University of Technology, Konarskiego 22, 44-100 Gliwice, Poland

Publication date: 2002-01-01