Temperature distribution in a thin rotating disk |
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Authors: | E G Hauptmann and H Ramsey |
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Institution: | (1) Department of Mechanical Engineering, University of British Columbia, Vancouver 8, Canada |
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Abstract: | The problem of heat conduction in a thin rotating disk with heat input at a fixed point is considered. The disk is cooled by forced convection from its lateral surfaces. By defining a complex temperature, the temperature throughout the disk is presented as a series of Bessel functions of complex argument. Results are given for a range of rotational speeds.Nomenclature
R
radial coordinate
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angular coordinate
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a
radius of disk
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b
thickness of disk
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T
temperature
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T
ambient temperature
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rotational speed of disk
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q
heat flux into disk
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k
thermal conductivity of disk
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density of disk
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c
specific heat of disk
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h
coefficient of convective heat transfer
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r
dimensionless radial coordinate, R/a
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T*
characteristic temperature, q
0
a/ k
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t
dimensionless temperature, (T–T
)/T*
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C
1, C
2
dimensionless parameters defined in (3) |
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Keywords: | |
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