An inverse natural convection problem of estimating the strength of a heat source

DOI10.1016/S0017-9310(99)00100-3zbMath0986.76084OpenAlexW2074535482WikidataQ127245962 ScholiaQ127245962MaRDI QIDQ1973402

Yanyan Li

Publication date: 11 June 2002

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0017-9310(99)00100-3

zbMATH Keywords

inverse problemminimization problemBoussinesq equationnatural convectionconjugate gradient methodheat sourceadjoint equationdescent directiontwo-dimensional cavityleast-square criterion

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Free convection (76R10) Inverse problems in thermodynamics and heat transfer (80A23)

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Estimation of time-varying heat sources through inversion of a low order model built with the modal identification method from in-situ temperature measurements ⋮ Determination of desired geometry by a novel extension of ball spine algorithm inverse method to conjugate heat transfer problems ⋮ An inverse solution for reconstruction of the heat transfer coefficient from the knowledge of two temperature values in a solid substrate ⋮ Shape design of millimeter-scale air channels for enhancing heat transfer and reducing pressure drop ⋮ On the inverse heat convection problem of the flow over a cascade of rectangular blades ⋮ An iterative regularization method in simultaneously estimating the inlet temperature and heat-transfer rate in a forced-convection pipe

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