G. Mall et al., Energy loss due to radiation in postmortem cooling part B: Energy balance with respect to radiation, INT J LEGAL, 112(4), 1999, pp. 233-240
With the help of the law of Stefan and Boltzmann and a model for the coolin
g of exposed skin derived from the data of Lyle and Cleveland [7], the radi
ation energy loss E-R can be calculated according to the following formula.
E-R(t) = epsilon sigma A(R) (0)integral(t) ([(T-S(0) - T-E) e(-z't) + T-E]
- T-E(4)) d t'
where epsilon represents the emissivity of the skin (0.98), a the Stefan-Bo
ltzmann constant, A(R) the radiating surface area, T-S(0) the skin temperat
ure at death, T-E the environmental temperature and Z' = 0.1017 the gradien
t of the skin temperature curve.
Additionally, an energy loss due to conduction and convection E-C has to be
taken into account. Comparing the energy losses due to radiation, conducti
on and convection with the decrease E-T of the thermal energy in the body,
calculated from mean heat capacity (3.45 kJ/(kg degrees K)), body mass and
decrease of mean body temperature, there is a surplus of energy in the very
early postmortem period, which can be explained only by an internal source
of energy E-I. Alltogether the following balance equation can be formulate
d:
E-T+ E-I = E-R + E-C
Since the body temperature decreases in the early postmortem period, E-I ca
n be estimated by: E-I(t) greater than or equal to max (E-R(t) - E-T(t), 0)
. The values obtained range up to 500 kJ for a medium sized (175 cm), mediu
m weight (75 kg) body at an environmental temperature of 5 degrees C and ar
e compatible with estimations of Lundquist [6] for supravital energy produc
tion by breakdown of glycogen.