In comparison with warm air heating system, radiant heating system results in a lower room temperature when the same conditions of thermal environment is considered for both systems generally. As a matter of fact, the thermal load of ventilation for the radiant heating system is less than that of the warm air heating system. However, in which of the above-mentioned heating system the heat loss through the exterior wall exceeds, is a matter of question and actually depends upon the thermal environmental conditions of the space. In this paper, effort has been given to clarify the cases in which radiant heating system brings about less heat loss (through the exterior walls) than warm air heating system. In the previous paper, the authors could achieve some empirical index (i.e., so far called critical convective heat transfer coeficient) c.c.h.t.c. for a two-parallel-symmetric-infinite-planes space by which the energy savings characteristics of the heating system may be evaluated for that space. Nevertheless, in this paper, a theoretical formula is presented for estimation of the critical convective heat transfer coefficient which can be applied, concretely, for the practical spaces. The conception is based on the fact that, when the thermal environmental conditions are considered constant and the change of temperature in one of the surfaces (underchange-surface) of space (i.e., increase in radiant heat exchange) happens without causing any change in the heat loss of another exterior surface (object-surface), the convective heat transfer coefficient of that object-surface takes a particular value and in this paper has been called critical value. Also, the real value of convective heat transfer coefficient of a surface if becomes more than its critical value, the heat loss through that surface in the radiant heating system will be less than that of in the warm air heating system. Gebhart absorption-factors have been applied to develope a dimensionless theoretical formula for critical convective heat transfer coefficient. Moreover, the main parameters which affect the critical convective heat transfer coefficient, have been clarified as Gebhart absorption-factors (i.e., absorption-factors for wall to wall as well as man to wall), heat transfer coefficient in the vicinity of the man in the space and the emissivities of both man and the internal surfaces of the exterior walls. On the other hand, it has been shown that the thermal conductances of the walls, ambient temperature, internal heat production of human body and thermal resistance of clothing have almost no effect on the c.c.h.t.c. Besides, comparison of c.c.h.t.c. calculated by the rigorous method (i.e., based on energy balance equations) and by the approximate formula for various cases has shown the reliability of the approximate formula. Finally, the fundamental characteristics of c.c.h.t.c. have been discussed.
View full abstract