Inverse method for function estimation in turbulent dphe flow

Abstract

The article investigates the applicability of inverse methods in estimating the best values to be assigned to certain parameters which appear in turbulent flow through DPHE. The normalized study domain has been derived from original DPHE. Conjugate gradient method (CGM) technique is applied in the estimation of unknown heat transfer rate. No information is available for the unknown heat transfer rate and hence the procedure is classified as estimation of unknown quantity using simulated temperature measurement. The parameter optimization relies on the availability of data for the velocity profile, friction factor, viscosity and other turbulent parameters. It is shown that using these optimized parameters; it is possible to predict with more the parameter profile within the domain. The Prandtl mixing length theory model used to solve the turbulent energy equation for parameter estimation. Results shows that there is excellent estimation of heat transfer rate for the test case analyzed in this study domain of Double Pipe Heat Exchanger.