Question

Our subjective feeling of hot and cold depends on the rate at which heat is lost through our skin. In this problem, we will model the skin as a flat layer of fatty tissue (k 0.3 W/m °K) with a thickness of 4 mm, separating an environment with a constant temperature of 37°C (normal body temperature) and the outside air. On a calm winter day with an ambient temperature of 0'°C, the convective heat transfer coefficient between the skin and the ambient air is approximately equal to 20 W/m2 °K. Find the heat flux lost through the skin.

Answer 1

q = 2.343 W/m^2

Step-by-step explanation:

Given data:

Ambient temperature = 0°C

Normal Body temperature = 37 °C

Thermal conductivity of tissue is K 0.3W/m °K

Heat transfer coefficient 20 W/m2 °K

Heat flux can be determined by using following formula

`q = (\Delta T)/((c)/(K) + (1)/(h))`

putting all value to get flux value

`q = (37 -0)/((4* 10^(-3))/(0.3) + (1)/(20))`

q = 2.343 W/m^2