An inverse solution scheme based on the conjugate gradient method with the minimization of the object function is presented for estimating the unknown wall heat flux of conjugated forced convection flows between two corotating disks from temperature measurements acquired within the flow field. The validity of the proposed approach is demonstrated via the estimation of three time- and space-dependent heat flux profiles. A good agreement is observed between the estimated results and the exact solution in every case. In general, the accuracy of the estimated results is found to improve as the temperature sensors are moved closer to the unknown boundary surface and the error in the measured temperature data is reduced.
Issue Section:
Forced Convection
Keywords:
inverse solution,
conjugated forced convection,
conjugate gradient method,
corotating disks,
boundary layers,
confined flow,
conjugate gradient methods,
estimation theory,
flow measurement,
forced convection,
inverse problems,
laminar flow,
measurement errors,
minimisation,
rotational flow
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