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Analysis of operation of a thermostat with contact thermo-regulator

Published online by Cambridge University Press:  24 October 2008

Z. Jelonek
Z. Jelonek
Affiliation:
S.R.D.E.SomerfordChristchurch, Hants
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Extract

Few papers presenting a theory of operation of thermostats can be found. This may be explained by mathematical difficulties which are met when considering the rather complicated construction, from the thermal point of view, of most thermostats. There is, however, a relatively great number of papers describing various mechanical constructions of thermostats. In many cases designers obtain very good practical results by making use of some approximate theories only.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 42 , Issue 1 , February 1946 , pp. 62 - 72
Copyright
Copyright © Cambridge Philosophical Society 1946

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References

* Lang, M., ‘Entwurf zu einer Theorie der Temperaturregeltechnik’, Z. Tech. Phys. 14 (1933), 98–105.Google Scholar

† Turner, L. B., ‘Self-oscillations in a retro-acting thermal conductor’, Proc. Cambridge Phil. Soc. 32 (1936), 663–75.CrossRefGoogle Scholar

* Loc. cit.

* These solutions could be rejected on the grounds of their instability, but the matter of stability of solutions will not be considered here rigorously.

† In these cases it is simpler to assume a value of β and find the value of α satisfying (10a).

‡ Since and

§ Loc. cit. p. 672 and Fig. 5.

* Turner, L. B., ‘Constant temperature: A study of principles in electric thermostat design; and a mains operated isothermal chamber constant to One-thousandth of a degree centigrade’, J. Inst. Elect. Engrs, 81 (1937), 399.Google Scholar

* Groszkowski, J. and Jelonek, Z., ‘Generator Wzbudzajacy Wilenskiej Stacji Radjofonicznej’ (Master-oscillator of the Broadcasting Station of Wilno), Przeglad Radiotechniczny, no. 9/10 (1939), pp. 33–41.Google Scholar