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
Institute de Aeronautica e Espaco − IAE Pg. Mal. Eduardo Gomes, 50, Vila das Acacias 12228-904, Sao Jose dos Campos, SP, Brazil; Universidade do Estado do Rio de Janeiro − UERJ, Faculdade de Tecnologia − FAT, Rodovia Presidente Dutra km 298 - Polo Industrial, 27537-000, Resende, RJ, Brazil

Helcio R. B. Orlande
North Carolina State University; Department of Mechanical Engineering, POLI/COPPE, Federal University of Rio de Janeiro, UFRJ Cid. Universitaria, Cx. Postal: 68503 Rio de Janeiro, RJ, 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.