Analysis of flux-base fins for estimation of heat transfer coefficient

Exact solutions are given for the transient temperature in flux-base fins with the method of Green’s functions (GF) in the form of infinite series for three different tip conditions. The speed of convergence is improved by replacing the steady part by a closed-form steady solution. For the insulated...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2009-01, Vol.52 (1), p.92-99
Main Authors: Cole, K.D., Tarawneh, C., Wilson, B.
Format: Article
Language:English
Subjects:
Applied sciences
Bearings, bushings, rolling bearings
Drives
Exact sciences and technology
Extended surface
Heat transfer coefficient
Mechanical engineering. Machine design
Neumann boundary
Parameter estimation
Transient conduction
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Summary:Exact solutions are given for the transient temperature in flux-base fins with the method of Green’s functions (GF) in the form of infinite series for three different tip conditions. The speed of convergence is improved by replacing the steady part by a closed-form steady solution. For the insulated-tip case, a quasi-steady solution is presented. Numerical values are presented and the conditions under which the quasi-steady solution is accurate are determined. An experimental example is given for estimation of the heat transfer coefficient (HTC) on a non-rotating roller bearing, in which the outer bearing race is treated as a transient fin.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2008.05.031