A dead body is found in a room with air temperature of 18 ̊C, and the body’s surface temperature ismeasured to be 30 ̊C at noon. The normal surface temperature of a human body is 37 ̊C and the averagehuman body is more than 70% water so that the body can be assumed to have the same thermophysicalproperties as water (r = 1000 kgm-3 ; k = 0.65 Wm-1 K-1 ; cp = 4200 Jkg-1 K-1 ).Using an average heat transfer coefficient for the cooling process, obtain a better estimate for the timeof death. You may neglect heat loss from the ends of the cylinder and consider only radial conductionwithin the body.

A dead body is found in a room with air temperature of 18 ̊C, and the body’s surface temperature is
measured to be 30 ̊C at noon. The normal surface temperature of a human body is 37 ̊C and the average
human body is more than 70% water so that the body can be assumed to have the same thermophysical
properties as water (
r = 1000 kgm-3 ; k = 0.65 Wm-1 K-1 ; cp = 4200 Jkg-1 K-1 ).
Using an average heat transfer coefficient for the cooling process, obtain a better estimate for the time
of death. You may neglect heat loss from the ends of the cylinder and consider only radial conduction
within the body.