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Heat Transfer Research
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ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v40.i4.30
pages 305-319

Expanded Lumped Model for the Algebraic Evaluation of the Total Heat Rejection from a Large Plate Immersed in a Fluid during a Period of Time

Antonio Campo
Department of Mechanical Engineering, The University of Texas at San Antonio, San Antonio, Texas 78249, USA
Luis E. Herranz
CIEMAT, Department of Nuclear Fission, Avenida Complutense 22, 28040 Madrid, Spain

ABSTRAKT

Estimates of the total heat transfer from large plates by forced convection to neighboring fluids during a certain period of time has been traditionally obtained from the classic Gröber chart. This paper proposes a simple composite lumped model of the unidirectional heat conduction equation that articulates a handful of algebraic expressions. It is demonstrated that simple composite lumped model is a capable predictive tool in the entire range of the dimensionless Bi number. A compact correlation for the so-called mean "internal Nusselt number" varying with the dimensionless time has been developed. With this information, the total heat transfer can be evaluated effortlessly by algebraic means at all dimensionless times x. The accuracy provided by the expanded lumped model exceeded expectations.


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