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.

Respuesta :

Answer:

q = 2.343 W/m^2

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

[tex]q = \frac{\Delta T}{\frac{c}{K} + \frac{1}{h}}[/tex]

putting all value to get flux value

[tex]q = \frac{37 -0}{\frac{4\times 10^{-3}}{0.3} + \frac{1}{20}}[/tex]

q = 2.343 W/m^2