ESTIMATION OF THE TIMEWISE AND SPACEWISE VARIATION OF THE WALL HEAT FLUX TO A NON-NEWTONIAN FLUID IN A PARALLEL PLATE CHANNEL

DOI: 10.1615/ICHMT.1996.TransientConvHeatTransf.520

Humberto Araujo Machado
Laboratory of Transmission and Technology of Heat—LTTC,Mechanical Engineering Dept.,EE/COPPE/UFRJ,Universidade Federal do Rio de Janeiro;Research and Development Institute,IP&D/UNIVAP,Av.Shishima Hifumi,2911,12244-000,Sao Josedos Campos-SP,Brazil

Helcio R. B. Orlande
North Carolina State University; Federal University of Rio de Janeiro, UFRJ Department of Mechanical Engineering, Politécnica/COPPE, Rio de Janeiro, Caixa Postal 68503, Cidade Universitaria, 21941-972, Brazil

Abstract

In this paper we apply the conjugate gradient method with adjoint equation to solve the inverse problem of estimating the unknown transient boundary heat flux, which is also supposed to vary along the flow direction, in a parallel plate channel. The physical problem involves the flow of a power-law fluid inside the channel. Simulated temperature measurements are used in the inverse analysis. The effects on the inverse problem solution of number and location of sensors, power-law index and random measurement errors are examined.