Radiative heat transport can be an important component in an infant incubator. Consider an infant lying on its back with its back surface being warmed by a radiant heater. Both the top of the infant...

Radiative heat transport can be an important component in an infant incubator. Consider an infant lying on its back with its back surface being warmed by a radiant heater. Both the top of the infant (stomach side) and radiant heater surface can be approximated as long and flat parallel surfaces, as shown in the schematic below. Assume the emissivity of both the radiant heating surface and the baby surface is 1, i.e., they are black bodies. The formula for the shape factor calculation is below. Air in the incubator has only a slight movement, leading to a heat transfer coefficient of 5 W/m2K. Assume the infant surface has a temperature of 35°C. The radiative heating surface has an effective temperature of 90°C, and the air temperature in the incubator is 23°C. The width of the heating surface and baby surface are 30 cm and 15 cm, respectively. 1) What is the radiative heat flux (not the net) from the top plane surface of the infant? 2) If we want to have a net radiative heat flux of 200 W/m2 into the infant top surface from the incubator, what should the position (distance L) of the radiative surface be? You do not need to solve for L , but clearly show an equation in which L is the only unknown and units of all quantities are properly considered. 3) What is the convective heat flux from the infant top surface into the surrounding air? 4) Considering both convection and radiation, what is the net heat flux into the infant top surface? 5) What important mode of heat transfer is being ignored here?