Inverse analysis for estimating the timewise and spacewise variation of the wall heat flux in a parallel plate channel

• Published in: International journal of numerical methods for heat & fluid flow Vol. 7; no. 7; pp. 696 - 710
• Main Authors: Machado, H.A, Orlande, H.R.B
• Format: Journal Article
• Language: English
• Published: Bradford MCB UP Ltd 01-11-1997; Emerald Group Publishing Limited
• Subjects: Channel flow; Conjugate gradient method; Fluctuations; Fluid dynamics; Heat; Heat conduction; Heat transfer; Inverse problems; Mathematical analysis; Mathematical models; Sensors; Studies; Wall heat flux; Conjugate gradient method; Heat conduction; Wall heat flux
• ISSN: 0961-5539; 1758-6585
• DOI: 10.1108/09615539710185578

Solves the inverse problem of estimating the wall heat flux in a parallel plate channel, by using the conjugate gradient method with adjoint equation. The unknown heat flux is supposed to vary in time and along the channel flow direction. Examines the accuracy of the present function estimation approach, by using transient simulated measurements of several sensors located inside the channel. The inverse problem is solved for different functional forms of the unknown wall heat flux, including those containing sharp corners and discontinuities, which are the most difficult to be recovered by an inverse analysis. Addresses the effects on the inverse problem solution of the number of sensors, as well as their locations.