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[Mathematical simulation of the corpse's temperature change during exposure of a direct solar radiation to diagnose a
A Yu Vavilov1, S A Belykh1, E F Shved2
1Izhevsk State Medical Academy, Izhevsk, Russia.
Objective:
To choose an optimal mathematical model and to practice the method of its use during finding the corpse under exposure of a direct solar radiation.
Material And Methods:
The studies were carried out on 9 corpses with body weight from 50 to 83 kg. The influence of black (6 corpses) and white (3 corpses) colored cotton fabrics was investigated to standardize a photoreceptive surface of clothes. In addition, the objects (bags made of substantial polyethylene, densely filled with moderately humid black soil) replacing corpses with mass of 5.5, 11.0, 16.5 and 22.0 kg, wrapped in cotton fabric of specified colors, that imitates clothes, were used. The objects' temperature was measured within the accuracy of 0.001 °C, air temperature - within accuracy of 0.1 °C. A simplified one-dimensional variant of the finite mathematical differences method, representing the process of corpse's cooling as a discrete transfer of heat from one layer (node) to another, was used in developing the mathematical modeling algorithm. The model consisted of ten nodes was used in calculations.
Results:
A mathematical model in the form of equations' system was developed, in which the variable reflecting the intensity of corpse's surface heating by sun rays was introduced. The example of calculation made with data of real measurements of corpse's temperature, that was in open place for the sun rays, is shown.
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