Estimation of inlet temperature profile in laminar duct flow

Abstract

The inverse analysis using conjugate-gradient method of minimization with an adjoint equation is presented for estimating the transversal variation of inlet temperature from temperature measurements taken at downstream location in a parallel-plate duct. The advantage of the method is that no prior information is needed for the functional form of spacewise variation of the unknown inlet temperature. The effects of the number of measurements N as well as the distribution of the measurements in the transversal direction, axial locations of the sensor, measurement errors, and functional form of the unknown inlet temperature on the accuracy of estimations are investigated. Inlet temperature distribution involving slope discontinuities was found difficult to estimate.

^*Author to whom proofs, correspondence, requests for reprints should be addressed. Mechanical and Aerospace Engineering Department, North Carolina State University Raleigh, North Carolina 27695-7910, USA Tel: [phone] FAX: [phone]

^*Author to whom proofs, correspondence, requests for reprints should be addressed. Mechanical and Aerospace Engineering Department, North Carolina State University Raleigh, North Carolina 27695-7910, USA Tel: [phone] FAX: [phone]

Notes

^*Author to whom proofs, correspondence, requests for reprints should be addressed. Mechanical and Aerospace Engineering Department, North Carolina State University Raleigh, North Carolina 27695-7910, USA Tel: [phone] FAX: [phone]