Abstract

The basic problem of steady-state heat conduction in a ring with internal heat generation and convective boundary conditions is considered. An exact solution is found for the ring with a rectangular cross section and an efficient Ritz method is presented for general cross sections. The latter is applied to the torus or the ring with a circular cross section. Hot spots and cold spots are determined.

References

References
1.
Carslaw
,
H. S.
, and
Jaeger
,
J. C.
,
1993
,
Conduction of Heat in Solids
, 2nd ed.,
Clarendon
,
Oxford, UK
.
2.
Pemberton
,
T. J.
, and
Parker
,
J. D.
,
1967
, “
Prediction of Maximum Temperature in Cylinders With Internal Heat Generation
,”
IEEE Trans. Parts Mat. Pack. PMP
,
3
(
1
), pp.
3
7
.10.1109/TPMP.1967.1135715
3.
Gebhart
,
B.
,
1993
,
Heat Conduction and Mass Diffusion
,
McGraw-Hill
,
New York
.
4.
Morse
,
P. M.
, and
Feshbach
,
H.
,
1953
,
Methods of Theoretical Physics, Part I
,
McGraw-Hill
,
New York
.
You do not currently have access to this content.