A stainless steel spherical container, with k = 15 W/m∙K is used for storing chemicals undergoing exothermic reaction. The reaction provides a uniform heat flux of 60 kW/m² to the container’s inner surface. The container has an inner radius of 50 cm and a wall thickness of 5 cm and is situated in a surrounding with an ambient temperature of 23°C. The container’s outer surface is subjected to convection heat transfer with a coefficient of 1000 W/m²∙K. For safety reasons to prevent thermal burn to individuals working around the container, it is necessary to keep the container’s outer surface temperature below 50°C. Determine the variation of temperature in the container wall and the temperatures of the inner and outer surfaces of the container. Is the outer surface temperature of the container safe to prevent thermal burn?

Transcribed Image Text:

T(r₂) Exothermic reaction T(r₁) 9₁ Spherical container r₁2 h, T